Quantum field theory is frequently approached from the perspective of particle physics. This book adopts a more general point of view and includes applications of condensed matter physics. Written by a highly respected writer and researcher, it first develops traditional concepts, including Feynman
Quantum field theory: from operators to path integrals
โ Scribed by Kerson Huang
- Book ID
- 127431341
- Publisher
- Wiley-VCH
- Year
- 1998
- Tongue
- English
- Weight
- 4 MB
- Category
- Library
- ISBN
- 3527617388
No coin nor oath required. For personal study only.
โฆ Synopsis
A unique approach to quantum field theory, with emphasis on the principles of renormalization Quantum field theory is frequently approached from the perspective of particle physics. This book adopts a more general point of view and includes applications of condensed matter physics. Written by a highly respected writer and researcher, it first develops traditional concepts, including Feynman graphs, before moving on to key topics such as functional integrals, statistical mechanics, and Wilson's renormalization group. The connection between the latter and conventional perturbative renormalization is explained. Quantum Field Theory is an exceptional textbook for graduate students familiar with advanced quantum mechanics as well as physicists with an interest in theoretical physics. It features: * Coverage of quantum electrodynamics with practical calculations and a discussion of perturbative renormalization * A discussion of the Feynman path integrals and a host of current subjects, including the physical approach to renormalization, spontaneous symmetry breaking and superfluidity, and topological excitations * Nineteen self-contained chapters with exercises, supplemented with graphs and charts
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We discuss the path integral formulation of quantum mechanics and use it to derive the S matrix in terms of Feynman diagrams. We generalize to quantum field theory, and derive the generating functional Z[J] and n-point correlation functions for free scalar field theory.
This is a concise graduate level introduction to analytical functional methods in quantum field theory. Functional integral methods provide relatively simple solutions to a wide range of problems in quantum field theory. After introducing the basic mathematical background, this book goes on to study
V. 1. Quantum Field Theory And Particles Yorikiyo Nagashima. Includes Bibliographical References And Index.
It is shown how matrix elements of the form \(\left\langle x\left|e^{-i f t}\right| y\right\rangle\), which arise in closed-form expressions for the generating functional, can be evaluated perturbatively using a path integral encountered in the quantum mechanics of a single particle. This allows one