The Physics Of Strong Fields In Quantum Electrodynamics

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Quantum Electrodynamics of Strong Fields

Author : Greiner W. Hold
Publisher : Springer Science & Business Media
ISBN 13 : 1489921397
Total Pages : 896 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Quantum Electrodynamics of Strong Fields by : Greiner W. Hold

Download or read book Quantum Electrodynamics of Strong Fields written by Greiner W. Hold and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Study Institute on Quantum Electrodynamics of Strong Fields was held at Lahnstein on the Rhine from 15-26 June, 1981. The school was devoted to the advances, theoretical and exper imental, in the physics of strong fields made during the past decade. The topic of the first week was almost exclusively quantum electrodynamics, with discussions of symmetry breaking in the ground state, of the physics of heavy ion collisions and of precision tests of perturbative quantum electrodynamics. This was followed in the second week by the presentation of a broad range of other areas where strong fields occur, reaching from nuclear physics over quantum chromodynamics to gravitation theory and astrophysics. We were fortunate to be able to call on a body of lecturers who not only have made considerable personal contributions to these advances but who are also noted for their lecturing skills. Their dedication for their subject was readily transmitted to the stu dents resulting in a very successful school. This enthusiasm is also reflected in their contributions to these Proceedings which, as I believe, will in time become a standard source of reference for future work on the physics of strong fields and will help to spread the benefits of the school to a larger audience than those who were able to attend. I regret that the Soviet colleagues Ya. B. Zeldovich and V. S. Popov were unable to participate.

Quantum Electrodynamics of Strong Fields

Author : Walter Greiner
Publisher : Springer Science & Business Media
ISBN 13 : 364282272X
Total Pages : 605 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Quantum Electrodynamics of Strong Fields by : Walter Greiner

Download or read book Quantum Electrodynamics of Strong Fields written by Walter Greiner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental goal of physics is an understanding of the forces of nature in their simplest and most general terms. Yet there is much more involved than just a basic set of equations which eventually has to be solved when applied to specific problems. We have learned in recent years that the structure of the ground state of field theories (with which we are generally concerned) plays an equally funda mental role as the equations of motion themselves. Heisenberg was probably the first to recognize that the ground state, the vacuum, could acquire certain prop erties (quantum numbers) when he devised a theory of ferromagnetism. Since then, many more such examples are known in solid state physics, e. g. supercon ductivity, superfluidity, in fact all problems concerned with phase transitions of many-body systems, which are often summarized under the name synergetics. Inspired by the experimental observation that also fundamental symmetries, such as parity or chiral symmetry, may be violated in nature, it has become wide ly accepted that the same field theory may be based on different vacua. Practical ly all these different field phases have the status of more or less hypothetical models, not (yet) directly accessible to experiments. There is one magnificent ex ception and this is the change of the ground state (vacuum) of the electron-posi tron field in superstrong electric fields.

Quantum Electrodynamics

Author : Walter Greiner
Publisher : Springer Science & Business Media
ISBN 13 : 3642880223
Total Pages : 417 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Quantum Electrodynamics by : Walter Greiner

Download or read book Quantum Electrodynamics written by Walter Greiner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need for a second edition of our text on Quantum Electrodynamics has given us the opportunity to implement some corrections and amendments. We have corrected a number of misprints and minor errors and have supplied additional explanatory remarks at various places. Furthermore some new material has been included on the magnetic moment of the muon (in Example 5. 6) and on the Lamb shift (in Example 5. 8). Finally, we have added the new Example 3. 17 which explains the equivalent photon method. We thank several colleagues for helpful comments and also are grateful to Dr. R. Mattiello who has supervised the preparation of the second edition of the book. Furthermore we acknowledge the agreeable collaboration with Dr. H. J. K6lsch and his team at Springer-Verlag, Heidelberg. Frankfurt am Main, Walter Greiner July 1994 Joachim Reinhardt Preface to the First Edition Theoretical physics has become a many-faceted science. For the young student it is difficult enough to cope with the overwhelming amount of new scientific material that has to be learned, let alone obtain an overview of the entire field, which ranges from mechanics through electrodynamics, quantum mechanics, field theory, nuclear and heavy-ion science, statistical mechanics, thermodynamics, and solid state theory to elementary-particle physics. And this knowledge should be acquired in just 8-10 semesters, during which, in addition, a Diploma or Master's thesis has to be worked on or examinations prepared for.

Physics of Strong Fields

Author : Walter Greiner
Publisher : Springer Science & Business Media
ISBN 13 : 1461318890
Total Pages : 996 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Physics of Strong Fields by : Walter Greiner

Download or read book Physics of Strong Fields written by Walter Greiner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 996 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Study Institute on Physios of St~ong Fields was held at Maratea/Italy from 1-14 June, 1986. The school was devoted to the advances, theoretical and experimental, in physics of strong fields made during the past five years. The topic of the first week was almost exclusively quantum electrodynamics, with dis cussions of symmetry breaking in the ground state, of the physics of strong fields in heavy ion collisions and of precision tests of perturba tive quantum electrodynamics. The famous positron lines found at GSI (Darmstadt) and the related question "new particle versus vacuum decay" - (yes or no or both) - constituted the center of experimental advances. This was followed in the second week by the presentation of a broad range of other areas where strong fields occur, reaching from nuclear physics over quantum chromodynamics to gravitation theory and astrophysics. We were fortunate to be able to calIon a body of lecturers who not only made considerable personal contributions to this research but who are also noted for their lecturing skills. Their enthusiasm and dedication for their work was readily transmitted to the students resulting in a very suc cessful school.

The Physics of Strong Fields in Quantum Electrodynamics

Author : Berndt Müller
Publisher :
ISBN 13 :
Total Pages : 91 pages
Book Rating : 4.:/5 (715 download)

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Book Synopsis The Physics of Strong Fields in Quantum Electrodynamics by : Berndt Müller

Download or read book The Physics of Strong Fields in Quantum Electrodynamics written by Berndt Müller and published by . This book was released on 1978* with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classical and Quantum Description of Plasma and Radiation in Strong Fields

Author : Fabien Niel
Publisher : Springer Nature
ISBN 13 : 3030735478
Total Pages : 266 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Classical and Quantum Description of Plasma and Radiation in Strong Fields by : Fabien Niel

Download or read book Classical and Quantum Description of Plasma and Radiation in Strong Fields written by Fabien Niel and published by Springer Nature. This book was released on 2021-05-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents several important aspects of the plasma dynamics in extremely high intensity electromagnetic fields when quantum electrodynamics effects have to be taken into account. This work is of utmost importance for the forthcoming generation of multipetawatt laser facilities where this physics will be tested. The first part consists of an introduction that extends from classical and quantum electrodynamics in strong fields to the kinetic description of plasmas in the interaction with such fields. This can be considered as an advanced tutorial which would be extremely useful to researchers and students new to the field. The second part describes original contributions on the analysis of the signatures of classical and quantum radiation reaction on the distribution function of the charged particles and of the photon spectrum, and leads to significant advances on this topic. These results are then extended to the analysis of the so-called QED cascades which are of central importance for a better understanding of some astrophysical phenomena and basic physics problems. Finally, the book discusses future directions for the high intensity laser–plasma interaction community. The results presented in this thesis are expected to become more and more relevant as the new multipetawatt facilities become operative.

Practical Quantum Electrodynamics

Author : Douglas M. Gingrich
Publisher : CRC Press
ISBN 13 : 1584885424
Total Pages : 355 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Practical Quantum Electrodynamics by : Douglas M. Gingrich

Download or read book Practical Quantum Electrodynamics written by Douglas M. Gingrich and published by CRC Press. This book was released on 2006-05-10 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking a heuristic approach to relativistic quantum mechanics, Practical Quantum Electrodynamics provides a complete introduction to the theory, methodologies, and calculations used for explaining the physical interaction of charged particles. This book combines the principles of relativity and quantum theory necessary for performing the calculations of the electromagnetic scattering of electrons and positrons and the emission and absorption of photons. Beginning with an introduction of the wave equations for spin-0 and spin-1/2 particles, the author compares and contrasts the relativistic and spin effects for both types of particles. He emphasizes how the relativistic treatment of quantum mechanics and the spin-1/2 degree of freedom are necessary to describe electromagnetic interactions involving electron scattering and points out the shortfalls of the wave-equation approach to relativistic quantum mechanics. Developing the Feynman rules for quantum electrodynamics by example, the book offers an intuitive, hands-on approach for performing fundamental calculations. It also illustrates how to perform calculations that can be related to experiments such as diagrams, lifetimes, and cross sections. Practical Quantum Electrodynamics builds a strong foundation for further studies and research in theoretical and particle physics, particularly relativistic quantum field theory or nonrelativistic many-body theory.

Cavity Quantum Electrodynamics

Author : Sergio M. Dutra
Publisher : John Wiley & Sons
ISBN 13 : 0471713473
Total Pages : 408 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Cavity Quantum Electrodynamics by : Sergio M. Dutra

Download or read book Cavity Quantum Electrodynamics written by Sergio M. Dutra and published by John Wiley & Sons. This book was released on 2005-05-27 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: What happens to light when it is trapped in a box? Cavity Quantum Electrodynamics addresses a fascinating question inphysics: what happens to light, and in particular to itsinteraction with matter, when it is trapped inside a box? With theaid of a model-building approach, readers discover the answer tothis question and come to appreciate its important applications incomputing, cryptography, quantum teleportation, andopto-electronics. Instead of taking a traditional approach thatrequires readers to first master a series of seemingly unconnectedmathematical techniques, this book engages the readers' interestand imagination by going straight to the point, introducing themathematics along the way as needed. Appendices are provided forthe additional mathematical theory. Researchers, scientists, and students of modern physics can referto Cavity Quantum Electrodynamics and examine the field thoroughly.Several key topics covered that readers cannot find in any otherquantum optics book include: * Introduction to the problem of the "vacuum catastrophe" and thecosmological constant * Detailed up-to-date account of cavity QED lasers andthresholdless lasing * Examination of cavities with movable walls * First-principles discussion about cavity QED in opencavities * Pedagogical account of microscopic quantization indielectrics Complementing the coverage of the most advanced theory andtechniques, the author provides context by discussing thehistorical evolution of the field and its discoveries. In thatspirit, "recommended reading," provided in each chapter, leadsreaders to both contemporary literature as well as key historicalpapers. Despite being one of many specialties within physics, cavityquantum electrodynamics serves as a window to many of thefundamental issues of physics. Cavity Quantum Electrodynamics willserve as an excellent resource for advanced undergraduate quantummechanics courses as well as for graduate students, researchers,and scientists who need a comprehensive introduction to the field.

Quantum Field Theory

Author : V. P. Nair
Publisher : Springer Science & Business Media
ISBN 13 : 0387250980
Total Pages : 560 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Quantum Field Theory by : V. P. Nair

Download or read book Quantum Field Theory written by V. P. Nair and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory, which started with Paul Dirac’s work shortly after the discovery of quantum mechanics, has produced an impressive and important array of results. Quantum electrodynamics, with its extremely accurate and well-tested predictions, and the standard model of electroweak and chromodynamic (nuclear) forces are examples of successful theories. Field theory has also been applied to a variety of phenomena in condensed matter physics, including superconductivity, superfluidity and the quantum Hall effect. The concept of the renormalization group has given us a new perspective on field theory in general and on critical phenomena in particular. At this stage, a strong case can be made that quantum field theory is the mathematical and intellectual framework for describing and understanding all physical phenomena, except possibly for a quantum theory of gravity. Quantum Field Theory: A Modern Perspective presents Professor Nair’s view of certain topics in field theory loosely knit together as it grew out of courses on field theory and particle physics taught at Columbia University and the City College of CUNY. The first few chapters, up to Chapter 12, contain material that generally goes into any course on quantum field theory, although there are a few nuances of presentation which readers may find to be different from other books. This first part of the book can be used for a general course on field theory, omitting, perhaps, the last three sections in Chapter 3, the last two in Chapter 8 and sections 6 and 7 in Chapter 10. The remaining chapters cover some of the more modern developments over the last three decades, involving topological and geometrical features. The introduction given to the mathematical basis of this part of the discussion is necessarily brief and should be accompanied by books on the relevant mathematical topics as indicated in the bibliography. Professor Nair also concentrates on developments pertinent to a better understanding of the standard model. There is no discussion of supersymmetry, supergravity, developments in field theory inspired by string theory, etc. There is also no detailed discussion of the renormalization group. Each of these topics would require a book in its own right to do justice to the topic. Quantum Field Theory: A Modern Perspective serves as a portal to so many more topics of detailed and ongoing research, referring readers to more detailed treatments for many specific topics. The book also contains extensive references, providing readers a more comprehensive perspective on the literature and the historical development of the subject. V. Parameswaran Nair is Professor of Physics at City College of The City University of New York (CUNY). Professor Nair has held Visiting Professorships at The Abdus Salam International Center for Theoretical Physics, Rockefeller University, Institute for Advanced Study at Princeton, and Massachusetts Institute of Technology.

An Introduction To Quantum Field Theory

Author : Michael E. Peskin
Publisher : CRC Press
ISBN 13 : 0429983182
Total Pages : 866 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis An Introduction To Quantum Field Theory by : Michael E. Peskin

Download or read book An Introduction To Quantum Field Theory written by Michael E. Peskin and published by CRC Press. This book was released on 2018-05-04 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.

Advanced Particle Physics

Author : Oleg Boyarkin
Publisher : CRC Press
ISBN 13 : 1439804141
Total Pages : 658 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Advanced Particle Physics by : Oleg Boyarkin

Download or read book Advanced Particle Physics written by Oleg Boyarkin and published by CRC Press. This book was released on 2011-02-16 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helping readers understand the complicated laws of nature, Advanced Particle Physics Volume I: Particles, Fields, and Quantum Electrodynamics explains the calculations, experimental procedures, and measuring methods of particle physics. It also describes modern physics devices, including accelerators, elementary particle detectors, and neutrino telescopes. The book first introduces the mathematical basis of modern quantum field theory. It presents the most pertinent information on group theory, proves Noether’s theorem, and determines the major motion integrals connected with both space and internal symmetry. The second part on fundamental interactions and their unifications discusses the main theoretical preconditions and experiments that allow for matter structure to be established at the quark-lepton level. In the third part, the author investigates the secondary quantized theories of free fields with spin 0, 1/2, and 1, with particular emphasis on the neutrino field. The final part focuses on quantum electrodynamics, the first successfully operating quantum field theory. Along with different renormalization schemes of quantum field theory, the author covers the calculation methods for polarized and unpolarized particles, with and without inclusion of radiative corrections. Each part in this volume contains problems to help readers master the calculation techniques and generalize the results obtained. To improve understanding of the computation procedures in quantum field theory, the majority of the calculations have been performed without dropping complex intermediate steps.

Relativistic Quantum Physics

Author : Tommy Ohlsson
Publisher : Cambridge University Press
ISBN 13 : 1139504320
Total Pages : 311 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Relativistic Quantum Physics by : Tommy Ohlsson

Download or read book Relativistic Quantum Physics written by Tommy Ohlsson and published by Cambridge University Press. This book was released on 2011-09-22 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum physics and special relativity theory were two of the greatest breakthroughs in physics during the twentieth century and contributed to paradigm shifts in physics. This book combines these two discoveries to provide a complete description of the fundamentals of relativistic quantum physics, guiding the reader effortlessly from relativistic quantum mechanics to basic quantum field theory. The book gives a thorough and detailed treatment of the subject, beginning with the classification of particles, the Klein–Gordon equation and the Dirac equation. It then moves on to the canonical quantization procedure of the Klein–Gordon, Dirac and electromagnetic fields. Classical Yang–Mills theory, the LSZ formalism, perturbation theory, elementary processes in QED are introduced, and regularization, renormalization and radiative corrections are explored. With exercises scattered through the text and problems at the end of most chapters, the book is ideal for advanced undergraduate and graduate students in theoretical physics.

Quantum Field Theory and the Standard Model

Author : Matthew D. Schwartz
Publisher : Cambridge University Press
ISBN 13 : 1107034736
Total Pages : 869 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Quantum Field Theory and the Standard Model by : Matthew D. Schwartz

Download or read book Quantum Field Theory and the Standard Model written by Matthew D. Schwartz and published by Cambridge University Press. This book was released on 2014 with total page 869 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.

Quantum Electrodynamics and Quantum Optics

Author : A. O. Barut
Publisher : Springer Science & Business Media
ISBN 13 : 1461327830
Total Pages : 466 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Quantum Electrodynamics and Quantum Optics by : A. O. Barut

Download or read book Quantum Electrodynamics and Quantum Optics written by A. O. Barut and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The borderline of quantum electrodynamics and quantum optics offer spectacular results and problems concerning the foundations of radiation theory. Perhaps the major new viewpoint that has emerged from recent investigations is that one can now work inside a time-dependent quantum process, whereas up to now all elementary quantum processes were either stationary, or one worked with asymptotic in-and out-states, i.e. an S-matrix approach. In the-rirst part of this volume, the Quantum Electrodynamics, the present status of the main approaches to this most accurate of all physical theories are discussed: the Hamiltonian approach, the Green's function approach with particular emphasis to bound state problems, and the newer, nonperturbative approach. The latest numerical results on radiative corrections, Lamb shifts and anomalous magnetic moments are reviewed with new results for high Z atoms. Also discussed are different theoretical interpretations of the radiative phenomena as due to quantized field vacuum fluctuations or due to self energy. A small group of contributions are devoted to the physics and mathematical description of decaying or unstable states in quantum theory. This remarkable phenomenon of quantum theory still needs complete clarification, it is a time-dependent phenomenon, which can be described also by asymptotic S-matrix methods, but with complex energies.

Quantum Electrodynamics

Author : Gunnar Källen
Publisher : Springer Science & Business Media
ISBN 13 : 3642880193
Total Pages : 249 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Quantum Electrodynamics by : Gunnar Källen

Download or read book Quantum Electrodynamics written by Gunnar Källen and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kallen's Quantenelektrodynamik provides a concise treatment of the subject. Its strong points are the careful attention to ex planatory detail, the methodical coverage of all the maj or results and the straightforward, lucid style. Certainly it will be a val uable reference for one learning the subject or for one who re quires the details of the practical results. Of course modern quantum field theory has now grown far beyond its dramatic be ginnings in electrodynamics and we have therefore included some references to introduce the reader to the more recent and more specialized literature. We have corrected some minor errors: we would appreciate it if readers would inform us of any others which they find. We thank Professors Paul Urban and C. MtSller for permission to use the biographical material on Kallen. We also wish to thank Springer-Verlag for undertaking publication of this edition by an unorthodox method, but one which will reduce the cost to the reader. In particular, we are grateful to Dr. H. Mayer-Kaupp and Mr. Herb Stillman for their kind cooperation. Finally, we thank Mr. Michael Teague for reading and commenting on the first dozen sections and we thank Mrs. Joanne Downs for ed iting and typing the final manuscript. May 1972 C. K. Iddings M. Mizushima Department of PhysiCS and Astrophysics University of Colorado Boulder, Colorado 80302 .. ., IN MEMORIAM PROFESSOR GUNNAR KALLEN On October 13, 1968, Professor Gunnar Kallen of the University of Lund, Sweden, died in an airplane accident near Hanover.

Quantum Field Theory in a Nutshell

Author : Anthony Zee
Publisher : Princeton University Press
ISBN 13 : 1400835321
Total Pages : 605 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Quantum Field Theory in a Nutshell by : Anthony Zee

Download or read book Quantum Field Theory in a Nutshell written by Anthony Zee and published by Princeton University Press. This book was released on 2010-02-01 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fully updated edition of the classic text by acclaimed physicist A. Zee Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. This expanded edition features several additional chapters, as well as an entirely new section describing recent developments in quantum field theory such as gravitational waves, the helicity spinor formalism, on-shell gluon scattering, recursion relations for amplitudes with complex momenta, and the hidden connection between Yang-Mills theory and Einstein gravity. Zee also provides added exercises, explanations, and examples, as well as detailed appendices, solutions to selected exercises, and suggestions for further reading. The most accessible and comprehensive introductory textbook available Features a fully revised, updated, and expanded text Covers the latest exciting advances in the field Includes new exercises Offers a one-of-a-kind resource for students and researchers Leading universities that have adopted this book include: Arizona State University Boston University Brandeis University Brown University California Institute of Technology Carnegie Mellon College of William & Mary Cornell Harvard University Massachusetts Institute of Technology Northwestern University Ohio State University Princeton University Purdue University - Main Campus Rensselaer Polytechnic Institute Rutgers University - New Brunswick Stanford University University of California - Berkeley University of Central Florida University of Chicago University of Michigan University of Montreal University of Notre Dame Vanderbilt University Virginia Tech University

General Principles of Quantum Field Theory

Author : N.N. Bogolubov
Publisher : Springer Science & Business Media
ISBN 13 : 9400904916
Total Pages : 714 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis General Principles of Quantum Field Theory by : N.N. Bogolubov

Download or read book General Principles of Quantum Field Theory written by N.N. Bogolubov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe nomenological" Lagrangians.