Functional Methods and Models in Quantum Field Theory

Functional Methods and Models in Quantum Field Theory
Author: H.M. Fried
Publsiher: Courier Dover Publications
Total Pages: 227
Release: 2020-03-18
Genre: Science
ISBN: 9780486828596

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A unified description of the major soluble and approximate models of relativistic quantum field theory, this compact treatment explores functional methods applicable to relativistic quantum theory and the models themselves. 1972 edition.

Functional Methods in Quantum Field Theory and Statistical Physics

Functional Methods in Quantum Field Theory and Statistical Physics
Author: A.N. Vasiliev
Publsiher: Routledge
Total Pages: 320
Release: 2019-01-22
Genre: Science
ISBN: 9781351446815

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Providing a systematic introduction to the techniques which are fundamental to quantum field theory, this book pays special attention to the use of these techniques in a wide variety of areas, including ordinary quantum mechanics, quantum mechanics in the second-quantized formulation, relativistic quantum field theory, Euclidean field theory, quant

Functional Methods and Models in Quantum Field Theory

Functional Methods and Models in Quantum Field Theory
Author: Herbert Martin Fried
Publsiher: Unknown
Total Pages: 214
Release: 1982
Genre: Quantum field theory
ISBN: OCLC:8634738

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Statistical Approach to Quantum Field Theory

Statistical Approach to Quantum Field Theory
Author: Andreas Wipf
Publsiher: Springer Nature
Total Pages: 568
Release: 2021-10-25
Genre: Science
ISBN: 9783030832636

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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.

An Introduction To Quantum Field Theory

An Introduction To Quantum Field Theory
Author: Michael E. Peskin
Publsiher: CRC Press
Total Pages: 866
Release: 2018-05-04
Genre: Science
ISBN: 9780429983184

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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.

General Principles of Quantum Field Theory

General Principles of Quantum Field Theory
Author: N.N. Bogolubov,Anatoly A. Logunov,A.I. Oksak,I. Todorov
Publsiher: Springer Science & Business Media
Total Pages: 714
Release: 2012-12-06
Genre: Science
ISBN: 9789400904910

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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.

Mathematical Methods of Many Body Quantum Field Theory

Mathematical Methods of Many Body Quantum Field Theory
Author: Detlef Lehmann
Publsiher: CRC Press
Total Pages: 265
Release: 2004-08-30
Genre: Science
ISBN: 9781420035018

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Mathematical Methods of Many-Body Quantum Field Theory offers a comprehensive, mathematically rigorous treatment of many-body physics. It develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system. These tools include the formalism of second quantization, field theoretical perturbation theory, functional integral methods, bosonic and fermionic, and estimation and summation techniques for Feynman diagrams. Among the physical effects discussed in this context are BCS superconductivity, s-wave and higher l-wave, and the fractional quantum Hall effect. While the presentation is mathematically rigorous, the author does not focus solely on precise definitions and proofs, but also shows how to actually perform the computations. Presenting many recent advances and clarifying difficult concepts, this book provides the background, results, and detail needed to further explore the issue of when the standard approximation schemes in this field actually work and when they break down. At the same time, its clear explanations and methodical, step-by-step calculations shed welcome light on the established physics literature.

Introduction Quantum Field Theory Comp

Introduction Quantum Field Theory Comp
Author: MEURICE
Publsiher: Myprint
Total Pages: 300
Release: 2021-02-23
Genre: Electronic Book
ISBN: 0750321881

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