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Quantization Of Fields
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Book Synopsis Quantization of Fields with Constraints by : Dmitri Gitman
Download or read book Quantization of Fields with Constraints written by Dmitri Gitman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gauge field theories underlie all models now used in elementary particle physics. These theories refer to the class of singular theories which are also theories with constraints. The quantization of singular theories remains one of the key problems of quantum field theory and is being intensively discussed in the literature. This book is an attempt to fill the need for a comprehensive analysis of this problem, which has not heretofore been met by the available monographs and reviews. The main topics are canonical quantization and the path integral method. In addition, the Lagrangian BRST quantization is completely described, for the first time in a monograph. The book also presents a number of original results obtained by the authors, in particular, a complete description of the physical sector of an arbitrary gauge theory, quantization of singular theories with higher theories with time-dependent constraints, and correct derivatives, quantization of canonical quantization of theories of a relativistic point-like particle. As a general illustration we present quantization of field theories such as electrodynamics, Yang-Mills theory, and gravity. It should be noted that this monograph is aimed not only at giving the reader the rules of quantization according to the principle "if you do it this way, it will be good", but also at presenting strong arguments based on the modem interpretation of the classical and quantum theories which show that these methods· are the natural, if not the only possible ones.
Book Synopsis An Introduction to Field Quantization by : Y. Takahashi
Download or read book An Introduction to Field Quantization written by Y. Takahashi and published by Elsevier. This book was released on 2016-09-20 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Field Quantization is an introductory discussion of field quantization and problems closely related to it. Field quantization establishes a commutation relation of the field and finds an operator in such a manner that the Heisenberg equation of motion is satisfied. This book contains eight chapters and begins with a review of the quantization of the Schroedinger field and the close relation between quantized field theory and the many-body theory in quantum mechanics. These topics are followed by discussions of the quantization of the radiation field and the field of lattice vibrations in a solid. The succeeding chapter deals with the familiar linear equations in relativistic field theory and the deduction of certain spin independent theories, which these fields have in common. Other chapter explores the derivation technique of the conservation laws for fields with arbitrary spin directly from the field equations without explicit recourse to Noether's theorem using a configuration space version of the generalized Ward identity. The discussion then shifts to the relativistic quantization method applicable to any field with arbitrary spin; the transformation of various fields under the Lorentz transformation; and a general method for constructing wave functions explicitly, as well as the application of this method to several examples. The concluding chapter focuses on the quantization of interacting fields. This book will prove useful to physicists and researchers.
Book Synopsis Field Quantization by : Walter Greiner
Download or read book Field Quantization written by Walter Greiner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical physics has become a many-faceted science. For the young stu dent 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. All this can be achieved only if the university teachers help to introduce the student to the new disciplines as early on as possible, in order to create interest and excitement that in turn set free essential new energy. At the Johann Wolfgang Goethe University in Frankfurt we therefore con front the student with theoretical physics immediately, in the first semester. Theoretical Mechanics I and II, Electrodynamics, and Quantum Mechanics I - An Introduction are the basic courses during the first two years. These lectures are supplemented with many mathematical explanations and much support material. After the fourth semester of studies, graduate work begins, and Quantum Mechanics II - Symmetries, Statistical Mechanics and Ther modynamics, Relativistic Quantum Mechanics, Quantum Electrodynamics, the Gauge Theory of Weak Interactions, and Quantum Chromo dynamics are obligatory.
Book Synopsis Quantization of Fields by : Andrey Nikolaevich Volobuev
Download or read book Quantization of Fields written by Andrey Nikolaevich Volobuev and published by . This book was released on 2018-09-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the book Quantization of Fields, the problems of electromagnetic and gravitational fields quantization are examined. Quantization of an electromagnetic field is carried out in photon space, i.e., in the reference system moving with a light velocity. This reference system accompanies a photon, therefore, it is possible to carry out the display of a photon to receive representation about its form and to investigate its parameters and properties. In photon space, the Schrodinger's nonlinear equation with logarithmic nonlinearity (which the wave function of a photon obeys) is found. On the basis of this equation, the problem of a material particle and photon interaction in photon space is investigated. It is shown that the interaction of a photon and material particle can be calculated in the closed form in photon space. Such calculations can be carried out only approximately by a method of the perturbations theory in Euclidian spaces. It is shown that during interaction of a photon and electron on the electron surface, there are waves propagating with a light velocity. The problem of a vacuum in the photon space and also multiphoton system in this space is investigated.During the quantization of a gravitational field, Einstein's equation for a field of gravitation as a basis is used. It is assumed that curved space-time (Riemann's space) is not quantized. Quantization is subjected to an energy-impulse tensor. It is supposed that the curvature of space-time due to the presence of the massive bodies does not create a strength condition in space. The part of corresponding components of an energy-impulse tensor is replaced with quantum sizes by a principle of formation for the quantum mechanics matrix form. On the basis of the quantum form of the gravitational field equation, the solution as a graviton-quantum of a gravitational field is received. It is shown that during the propagation of a graviton near a massive body, there is a pumping of the gravitation field energy in the graviton. Therefore, in the field of a massive body, the graviton is possible to register. When there is distance between the graviton and a massive body, its energy is pumped over back in a gravitation field of a massive body. Therefore, to registering the graviton far from a massive body is problematic. In the book, some standard questions of general relativity - the classical theory of gravitational radiation, the theory of gravitational waves, the Schwarzschild's theory of the solitary mass field, etc. - are submitted also.
Book Synopsis Mathematics of Quantization and Quantum Fields by : Jan Dereziński
Download or read book Mathematics of Quantization and Quantum Fields written by Jan Dereziński and published by Cambridge University Press. This book was released on 2013-03-07 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique and definitive review of mathematical aspects of quantization and quantum field theory for graduate students and researchers.
Book Synopsis Quantum Theory of Fields by : Gregor Wentzel
Download or read book Quantum Theory of Fields written by Gregor Wentzel and published by Courier Corporation. This book was released on 2014-03-05 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a pioneer of quantum field theory, this introductory volume explores scalar fields, vector meson fields, quantum electrodynamics, quantization of electron wave field according to exclusion principle. 1949 edition.
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.
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.
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.
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.
Book Synopsis Ultracold Quantum Fields by : Henk T. C. Stoof
Download or read book Ultracold Quantum Fields written by Henk T. C. Stoof and published by Springer Science & Business Media. This book was released on 2008-11-30 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: On June 19th 1999, the European Ministers of Education signed the Bologna Dec laration, with which they agreed that the European university education should be uniformized throughout Europe and based on the two cycle bachelor master’s sys tem. The Institute for Theoretical Physics at Utrecht University quickly responded to this new challenge and created an international master’s programme in Theoret ical Physics which started running in the summer of 2000. At present, the master’s programme is a so called prestige master at Utrecht University, and it aims at train ing motivated students to become sophisticated researchers in theoretical physics. The programme is built on the philosophy that modern theoretical physics is guided by universal principles that can be applied to any sub?eld of physics. As a result, the basis of the master’s programme consists of the obligatory courses Statistical Field Theory and Quantum Field Theory. These focus in particular on the general concepts of quantum ?eld theory, rather than on the wide variety of possible applica tions. These applications are left to optional courses that build upon the ?rm concep tual basis given in the obligatory courses. The subjects of these optional courses in clude, for instance, Strongly Correlated Electrons, Spintronics, Bose Einstein Con densation, The Standard Model, Cosmology, and String Theory.
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.
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.
Book Synopsis What Is a Quantum Field Theory? by : Michel Talagrand
Download or read book What Is a Quantum Field Theory? written by Michel Talagrand and published by Cambridge University Press. This book was released on 2022-03-17 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lively and erudite introduction for readers with a background in undergraduate mathematics but no previous knowledge of physics.
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.
Book Synopsis Stochastic Quantization by : Mikio Namiki
Download or read book Stochastic Quantization written by Mikio Namiki and published by Springer Science & Business Media. This book was released on 2008-10-04 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on stochastic quantization which was originally proposed by G. Parisi and Y. S. Wu in 1981 and then developed by many workers. I assume that the reader has finished a standard course in quantum field theory. The Parisi-Wu stochastic quantization method gives quantum mechanics as the thermal-equilibrium limit of a hypothetical stochastic process with respect to some fictitious time other than ordinary time. We can consider this to be a third method of quantization; remarkably different from the conventional theories, i. e, the canonical and path-integral ones. Over the past ten years, we have seen the technical merits of this method in quantizing gauge fields and in performing large numerical simulations, which have never been obtained by the other methods. I believe that the stochastic quantization method has the potential to extend the territory of quantum mechanics and of quantum field theory. However, I should remark that stochastic quantization is still under development through many mathematical improvements and physical applications, and also that the fictitious time of the theory is only a mathematical tool, for which we do not yet know its origin in the physical background. For these reasons, in this book, I attempt to describe its theoretical formulation in detail as well as practical achievements.
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.
