Computer Algebra in Quantum Field Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3709116163
Total Pages : 422 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Computer Algebra in Quantum Field Theory by : Carsten Schneider

Download or read book Computer Algebra in Quantum Field Theory written by Carsten Schneider and published by Springer Science & Business Media. This book was released on 2013-10-05 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.

Quantum Field Theory in a Nutshell

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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

Quantum Fields on the Computer

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Publisher : World Scientific
ISBN 13 : 9789810209407
Total Pages : 448 pages
Book Rating : 4.2/5 (94 download)

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Book Synopsis Quantum Fields on the Computer by : Michael Creutz

Download or read book Quantum Fields on the Computer written by Michael Creutz and published by World Scientific. This book was released on 1992 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of recent progress in computer simulations of nonperturbative phenomena in quantum field theory, particularly in the context of the lattice approach. It is a collection of extensive self-contained reviews of various subtopics, including algorithms, spectroscopy, finite temperature physics, Yukawa and chiral theories, bounds on the Higgs meson mass, the renormalization group, and weak decays of hadrons.Physicists with some knowledge of lattice gauge ideas will find this book a useful and interesting source of information on the recent developments in the field.

The Physics of Quantum Fields

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Publisher : Springer Science & Business Media
ISBN 13 : 1461205077
Total Pages : 285 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Physics of Quantum Fields by : Michael Stone

Download or read book The Physics of Quantum Fields written by Michael Stone and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: A gentle introduction to the physics of quantized fields and many-body physics. Based on courses taught at the University of Illinois, it concentrates on the basic conceptual issues that many students find difficult, and emphasizes the physical and visualizable aspects of the subject. While the text is intended for students with a wide range of interests, many of the examples are drawn from condensed matter physics because of the tangible character of such systems. The first part of the book uses the Hamiltonian operator language of traditional quantum mechanics to treat simple field theories and related topics, while the Feynman path integral is introduced in the second half where it is seen as indispensable for understanding the connection between renormalization and critical as well as non-perturbative phenomena.

Quantum Fields on a Lattice

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Publisher : Cambridge University Press
ISBN 13 : 9780521599177
Total Pages : 512 pages
Book Rating : 4.5/5 (991 download)

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Book Synopsis Quantum Fields on a Lattice by : Istvan Montvay

Download or read book Quantum Fields on a Lattice written by Istvan Montvay and published by Cambridge University Press. This book was released on 1994 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.

Relativistic Quantum Fields

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Publisher : Courier Corporation
ISBN 13 : 0486477525
Total Pages : 240 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Relativistic Quantum Fields by : Charles Nash

Download or read book Relativistic Quantum Fields written by Charles Nash and published by Courier Corporation. This book was released on 2010-06-17 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This graduate-level text contains statistical and quantitative techniques for performing calculations in quantum field theory. Topics include renormalization, functional differentiation and integration, and the Schwinger-Dyson equations; dimensional regularization; the gauge and infrared properties of quantum electrodynamics; and asymptotic behavior and renormalization group methods. Reference features include an appendix, bibliography, and index. 1978 edition"--

Quantum Fields

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Publisher : Benjamin-Cummings Publishing Company
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Quantum Fields by : Nikolaĭ Nikolaevich Bogoli︠u︡bov

Download or read book Quantum Fields written by Nikolaĭ Nikolaevich Bogoli︠u︡bov and published by Benjamin-Cummings Publishing Company. This book was released on 1982 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Fields

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Publisher : Oxford University Press
ISBN 13 : 0198802870
Total Pages : 546 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Quantum Fields by : Michael Kachelriess

Download or read book Quantum Fields written by Michael Kachelriess and published by Oxford University Press. This book was released on 2018 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coherent approach leading to a more comprehensive understanding of quantum field theory and cosmology. Includes discussion of a variety of applications, has numerous worked examples and problems, and is self-contained and suitable for self study.--

Quantum Fields in Curved Space

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Publisher : Cambridge University Press
ISBN 13 : 1107392810
Total Pages : 362 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Quantum Fields in Curved Space by : N. D. Birrell

Download or read book Quantum Fields in Curved Space written by N. D. Birrell and published by Cambridge University Press. This book was released on 1984-02-23 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe. The last decade has witnessed a phenomenal growth in this subject. This is the first attempt to collect and unify the vast literature that has contributed to this development. All the major technical results are presented, and the theory is developed carefully from first principles. Here is everything that students or researchers will need to embark upon calculations involving quantum effects of gravity at the so-called one-loop approximation level.

Particles And Quantum Fields

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Publisher : World Scientific
ISBN 13 : 9814740926
Total Pages : 1628 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Particles And Quantum Fields by : Hagen Kleinert

Download or read book Particles And Quantum Fields written by Hagen Kleinert and published by World Scientific. This book was released on 2016-05-30 with total page 1628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory book on elementary particles and their interactions. It starts out with many-body Schrödinger theory and second quantization and leads, via its generalization, to relativistic fields of various spins and to gravity. The text begins with the best known quantum field theory so far, the quantum electrodynamics of photon and electrons (QED). It continues by developing the theory of strong interactions between the elementary constituents of matter (quarks). This is possible due to the property called asymptotic freedom. On the way one has to tackle the problem of removing various infinities by renormalization. The divergent sums of infinitely many diagrams are performed with the renormalization group or by variational perturbation theory (VPT). The latter is an outcome of the Feynman-Kleinert variational approach to path integrals discussed in two earlier books of the author, one representing a comprehensive treatise on path integrals, the other dealing with critial phenomena. Unlike ordinary perturbation theory, VPT produces uniformly convergent series which are valid from weak to strong couplings, where they describe critical phenomena.The present book develops the theory of effective actions which allow to treat quantum phenomena with classical formalism. For example, it derives the observed anomalous power laws of strongly interacting theories from an extremum of the action. Their fluctuations are not based on Gaussian distributions, as in the perturbative treatment of quantum field theories, or in asymptotically-free theories, but on deviations from the average which are much larger and which obey power-like distributions.Exactly solvable models are discussed and their physical properties are compared with those derived from general methods. In the last chapter we discuss the problem of quantizing the classical theory of gravity.

Quantum Fields and Strings: A Course for Mathematicians

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Publisher : American Mathematical Society
ISBN 13 : 0821820133
Total Pages : 801 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Quantum Fields and Strings: A Course for Mathematicians by : Pierre Deligne

Download or read book Quantum Fields and Strings: A Course for Mathematicians written by Pierre Deligne and published by American Mathematical Society. This book was released on 1999-10-25 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opportunity to learn about the beautiful and difficult subjects of quantum field theory and string theory. Cover features an intriguing cartoon that will bring a smile to its intended audience.

Introduction to Quantum Fields on a Lattice

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Publisher : Cambridge University Press
ISBN 13 : 1009402749
Total Pages : 285 pages
Book Rating : 4.0/5 (94 download)

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Book Synopsis Introduction to Quantum Fields on a Lattice by : Jan Smit

Download or read book Introduction to Quantum Fields on a Lattice written by Jan Smit and published by Cambridge University Press. This book was released on 2023-07-31 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytic Aspects of Quantum Fields

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Publisher : World Scientific
ISBN 13 : 9789812775504
Total Pages : 376 pages
Book Rating : 4.7/5 (755 download)

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Book Synopsis Analytic Aspects of Quantum Fields by : Andrei A. Bytsenko

Download or read book Analytic Aspects of Quantum Fields written by Andrei A. Bytsenko and published by World Scientific. This book was released on 2003-01-01 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the aims of this book is to explain in a basic manner the seemingly difficult issues of mathematical structure using some specific examples as a guide. In each of the cases considered, a comprehensible physical problem is approached, to which the corresponding mathematical scheme is applied, its usefulness being duly demonstrated. The authors try to fill the gap that always exists between the physics of quantum field theories and the mathematical methods best suited for its formulation, which are increasingly demanding on the mathematical ability of the physicist. Contents: Survey of Path Integral Quantization and Regularization Techniques; The Zeta-Function Regularization Method; Generalized Spectra and Spectral Functions on Non-Commutative Spaces; Spectral Functions of Laplace Operator on Locally Symmetric Spaces; Spinor Fields; Field Fluctuations and Related Variances; The Multiplicative Anomaly; Applications of the Multiplicative Anomaly; The Casimir Effect. Readership: Mathematical and high energy physicists.

Relativistic Quantum Fields

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Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Relativistic Quantum Fields by : James D. Bjorken

Download or read book Relativistic Quantum Fields written by James D. Bjorken and published by . This book was released on 1965 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Problem Book in Quantum Field Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540770143
Total Pages : 242 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Problem Book in Quantum Field Theory by : Voja Radovanovic

Download or read book Problem Book in Quantum Field Theory written by Voja Radovanovic and published by Springer Science & Business Media. This book was released on 2008-01-24 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Problem Book in Quantum Field Theory contains about 200 problems with solutions or hints that help students to improve their understanding and develop skills necessary for pursuing the subject. It deals with the Klein-Gordon and Dirac equations, classical field theory, canonical quantization of scalar, Dirac and electromagnetic fields, the processes in the lowest order of perturbation theory, renormalization and regularization. The solutions are presented in a systematic and complete manner. The material covered and the level of exposition make the book appropriate for graduate and undergraduate students in physics, as well as for teachers and researchers.

Quantum Field Theory

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Publisher : Cambridge University Press
ISBN 13 : 1108574386
Total Pages : 611 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Quantum Field Theory by : François Gelis

Download or read book Quantum Field Theory written by François Gelis and published by Cambridge University Press. This book was released on 2019-07-11 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern text combines fundamental principles with advanced topics and recent techniques in a rigorous and self-contained treatment of quantum field theory.Beginning with a review of basic principles, starting with quantum mechanics and special relativity, students can refresh their knowledge of elementary aspects of quantum field theory and perturbative calculations in the Standard Model. Results and tools relevant to many applications are covered, including canonical quantization, path integrals, non-Abelian gauge theories, and the renormalization group. Advanced topics are explored, with detail given on effective field theories, quantum anomalies, stable extended field configurations, lattice field theory, and field theory at a finite temperature or in the strong field regime. Two chapters are dedicated to new methods for calculating scattering amplitudes (spinor-helicity, on-shell recursion, and generalized unitarity), equipping students with practical skills for research. Accessibly written, with numerous worked examples and end-of-chapter problems, this is an essential text for graduate students. The breadth of coverage makes it an equally excellent reference for researchers.

Mathematical Theory of Quantum Fields

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Publisher : Oxford University Press
ISBN 13 : 0192539116
Total Pages : 254 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Mathematical Theory of Quantum Fields by : Huzihiro Araki

Download or read book Mathematical Theory of Quantum Fields written by Huzihiro Araki and published by Oxford University Press. This book was released on 1999-10-22 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to the mathematical foundations of quantum field theory, using operator algebraic methods and emphasizing the link between the mathematical formulations and related physical concepts. It starts with a general probabilistic description of physics, which encompasses both classical and quantum physics. The basic key physical notions are clarified at this point. It then introduces operator algebraic methods for quantum theory, and goes on to discuss the theory of special relativity, scattering theory, and sector theory in this context.