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Author : Yoshio Ohnuki
Publisher : Springer
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.:/5 (1 download)
Download or read book Quantum Field Theory and Parastatistics written by Yoshio Ohnuki and published by Springer. This book was released on 1982 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yoshio Ohnuki
Publisher : Springer
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.3/5 (91 download)
Download or read book Quantum Field Theory and Parastatistics written by Yoshio Ohnuki and published by Springer. This book was released on 1982 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James D. Shelley
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (128 download)
Download or read book On the Analysis of Parastatistical Models in Quantum Field Theory written by James D. Shelley and published by . This book was released on 1972 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. A. Abrikosov
Publisher : Courier Corporation
ISBN 13 : 0486140156
Total Pages : 383 pages
Book Rating : 4.4/5 (861 download)
Download or read book Methods of Quantum Field Theory in Statistical Physics written by A. A. Abrikosov and published by Courier Corporation. This book was released on 2012-05-04 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive introduction to the many-body theory was written by three renowned physicists and acclaimed by American Scientist as "a classic text on field theoretic methods in statistical physics."
Author : James Glimm
Publisher : Springer Science & Business Media
ISBN 13 : 1461251583
Total Pages : 406 pages
Book Rating : 4.4/5 (612 download)
Download or read book Quantum Field Theory and Statistical Mechanics written by James Glimm and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe. They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain. Quantum fields were proposed in the late 1920s as the natural framework which combines quantum theory with relativ ity. They have survived ever since. The mathematical description for quantum theory starts with a Hilbert space H of state vectors. Quantum fields are linear operators on this space, which satisfy nonlinear wave equations of fundamental physics, including coupled Dirac, Max well and Yang-Mills equations. The field operators are restricted to satisfy a "locality" requirement that they commute (or anti-commute in the case of fer mions) at space-like separated points. This condition is compatible with finite propagation speed, and hence with special relativity. Asymptotically, these fields converge for large time to linear fields describing free particles. Using these ideas a scattering theory had been developed, based on the existence of local quantum fields.
Author : Albert Schwarz
Publisher : World Scientific
ISBN 13 : 9813278641
Total Pages : 383 pages
Book Rating : 4.8/5 (132 download)
Download or read book Mathematical Foundations of Quantum Field Theory written by Albert Schwarz and published by World Scientific. This book was released on 2020 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book is very different from other books devoted to quantum field theory, both in the style of exposition and in the choice of topics. Written for both mathematicians and physicists, the author explains the theoretical formulation with a mixture of rigorous proofs and heuristic arguments; references are given for those who are looking for more details. The author is also careful to avoid ambiguous definitions and statements that can be found in some physics textbooks. In terms of topics, almost all other books are devoted to relativistic quantum field theory, conversely this book is concentrated on the material that does not depend on the assumptions of Lorentz-invariance and/or locality. It contains also a chapter discussing application of methods of quantum field theory to statistical physics, in particular to the derivation of the diagram techniques that appear in thermo-field dynamics and Keldysh formalism. It is not assumed that the reader is familiar with quantum mechanics; the book contains a short introduction to quantum mechanics for mathematicians and an appendix devoted to some mathematical facts used in the book"--Publisher's description
Author : G. B. Folland
Publisher : American Mathematical Soc.
ISBN 13 : 0821847058
Total Pages : 338 pages
Book Rating : 4.8/5 (218 download)
Download or read book Quantum Field Theory written by G. B. Folland and published by American Mathematical Soc.. This book was released on 2008-08-26 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory has been a great success for physics, but it is difficult for mathematicians to learn because it is mathematically incomplete. Folland, who is a mathematician, has spent considerable time digesting the physical theory and sorting out the mathematical issues in it. Fortunately for mathematicians, Folland is a gifted expositor. The purpose of this book is to present the elements of quantum field theory, with the goal of understanding the behavior of elementary particles rather than building formal mathematical structures, in a form that will be comprehensible to mathematicians. Rigorous definitions and arguments are presented as far as they are available, but the text proceeds on a more informal level when necessary, with due care in identifying the difficulties. The book begins with a review of classical physics and quantum mechanics, then proceeds through the construction of free quantum fields to the perturbation-theoretic development of interacting field theory and renormalization theory, with emphasis on quantum electrodynamics. The final two chapters present the functional integral approach and the elements of gauge field theory, including the Salam-Weinberg model of electromagnetic and weak interactions.
Author : B. Sakita
Publisher : World Scientific Publishing Company
ISBN 13 : 9789971978556
Total Pages : 234 pages
Book Rating : 4.9/5 (785 download)
Download or read book Quantum Theory of Many-variable Systems and Fields written by B. Sakita and published by World Scientific Publishing Company. This book was released on 1985 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes are based on special courses on Field Theory and Statistical Mechanics given for graduate students at the City College of New York. It is an ideal text for a one-semester course on Quantum Field Theory.
Author : Andreas Wipf
Publisher : Springer Nature
ISBN 13 : 3030832635
Total Pages : 568 pages
Book Rating : 4.0/5 (38 download)
Download or read book Statistical Approach to Quantum Field Theory written by Andreas Wipf and published by Springer Nature. This book was released on 2021-10-25 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new expanded second edition has been totally revised and corrected. The reader finds two complete new chapters. One covers the exact solution of the finite temperature Schwinger model with periodic boundary conditions. This simple model supports instanton solutions – similarly as QCD – and allows for a detailed discussion of topological sectors in gauge theories, the anomaly-induced breaking of chiral symmetry and the intriguing role of fermionic zero modes. The other new chapter is devoted to interacting fermions at finite fermion density and finite temperature. Such low-dimensional models are used to describe long-energy properties of Dirac-type materials in condensed matter physics. The large-N solutions of the Gross-Neveu, Nambu-Jona-Lasinio and Thirring models are presented in great detail, where N denotes the number of fermion flavors. Towards the end of the book corrections to the large-N solution and simulation results of a finite number of fermion flavors are presented. Further problems are added at the end of each chapter in order to guide the reader to a deeper understanding of the presented topics. This book is meant for advanced students and young researchers who want to acquire the necessary tools and experience to produce research results in the statistical approach to Quantum Field Theory.
Author : Brian Hatfield
Publisher : CRC Press
ISBN 13 : 0429972865
Total Pages : 474 pages
Book Rating : 4.4/5 (299 download)
Download or read book Quantum Field Theory Of Point Particles And Strings written by Brian Hatfield and published by CRC Press. This book was released on 2018-03-09 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2018. The emphasis of the book is calculational, and most computations are presented in step-by-step detail. The book is unique in that it develops all three representations of quantum field theory (operator, functional Schr dinger, and path integral) for point particles and strings. In many cases, identical results are worked out in each representation to emphasize the representation-independent structures of quantum field theory
Author : K.H. Namsrai
Publisher : Springer Science & Business Media
ISBN 13 : 9400945183
Total Pages : 440 pages
Book Rating : 4.4/5 (9 download)
Download or read book Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics written by K.H. Namsrai and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: over this stochastic space-time leads to the non local fields considered by G. V. Efimov. In other words, stochasticity of space-time (after being averaged on a large scale) as a self-memory makes the theory nonlocal. This allows one to consider in a unified way the effect of stochasticity (or nonlocality) in all physical processes. Moreover, the universal character of this hypothesis of space-time at small distances enables us to re-interpret the dynamics of stochastic particles and to study some important problems of the theory of stochastic processes [such as the relativistic description of diffusion, Feynman type processes, and the problem of the origin of self-turbulence in the motion of free particles within nonlinear (stochastic) mechanics]. In this direction our approach (Part II) may be useful in recent developments of the stochastic interpretation of quantum mechanics and fields due to E. Nelson, D. Kershaw, I. Fenyes, F. Guerra, de la Pena-Auerbach, J. -P. Vigier, M. Davidson, and others. In particular, as shown by N. Cufaro Petroni and J. -P. Vigier, within the discussed approach, a causal action-at-distance interpretation of a series of experiments by A. Aspect and his co-workers indicating a possible non locality property of quantum mechanics, may also be obtained. Aspect's results have recently inspired a great interest in different nonlocal theories and models devoted to an understanding of the implications of this nonlocality. This book consists of two parts.
Author : Edson de Faria
Publisher : Cambridge University Press
ISBN 13 : 1139489801
Total Pages : pages
Book Rating : 4.1/5 (394 download)
Download or read book Mathematical Aspects of Quantum Field Theory written by Edson de Faria and published by Cambridge University Press. This book was released on 2010-08-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations.
Author : Pierre Deligne
Publisher : American Mathematical Society
ISBN 13 : 0821820125
Total Pages : 747 pages
Book Rating : 4.8/5 (218 download)
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 2000-04-27 with total page 747 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.
Author : N.N. Bogolubov
Publisher : Springer Science & Business Media
ISBN 13 : 9400904916
Total Pages : 714 pages
Book Rating : 4.4/5 (9 download)
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.
Author : Mario Rasetti
Publisher : World Scientific
ISBN 13 : 9789810202255
Total Pages : 234 pages
Book Rating : 4.2/5 (22 download)
Download or read book New Problems, Methods and Techniques in Quantum Field Theory and Statistical Mechanics written by Mario Rasetti and published by World Scientific. This book was released on 1990 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: http://www.worldscientific.com/worldscibooks/10.1142/1095
Author : John C. Baez
Publisher : Princeton University Press
ISBN 13 : 1400862507
Total Pages : 310 pages
Book Rating : 4.4/5 (8 download)
Download or read book Introduction to Algebraic and Constructive Quantum Field Theory written by John C. Baez and published by Princeton University Press. This book was released on 2014-07-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particle-wave duality that heuristic quantum field theory provides. Many topics are treated here in book form for the first time, from the origins of complex structures to the quantization of tachyons and domains of dependence for quantized wave equations. This work begins with a comprehensive analysis, in a universal format, of the structure and characterization of free fields, which is illustrated by applications to specific fields. Nonlinear local functions of both free fields (or Wick products) and interacting fields are established mathematically in a way that is consistent with the basic physical constraints and practice. Among other topics discussed are functional integration, Fourier transforms in Hilbert space, and implementability of canonical transformations. The authors address readers interested in fundamental mathematical physics and who have at least the training of an entering graduate student. A series of lexicons connects the mathematical development with the underlying physical motivation or interpretation. The examples and problems illustrate the theory and relate it to the scientific literature. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author : Norman J. M. Horing
Publisher : Oxford University Press
ISBN 13 : 0198791941
Total Pages : 453 pages
Book Rating : 4.1/5 (987 download)
Download or read book Quantum Statistical Field Theory written by Norman J. M. Horing and published by Oxford University Press. This book was released on 2017 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: The methods of coupled quantum field theory, which have played a major role in the extensive development of nonrelativistic quantum many-particle theory and condensed matter physics, are at the core of this book.
