Quantum Field Theory And Functional Integrals
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Author | : V.N. Popov |
Publisher | : Springer Science & Business Media |
Total Pages | : 316 |
Release | : 2001-11-30 |
Genre | : Science |
ISBN | : 9781402003073 |
Download Functional Integrals in Quantum Field Theory and Statistical Physics Book in PDF, Epub and Kindle
Functional integration is one of the most powerful methods of contempo rary theoretical physics, enabling us to simplify, accelerate, and make clearer the process of the theoretician's analytical work. Interest in this method and the endeavour to master it creatively grows incessantly. This book presents a study of the application of functional integration methods to a wide range of contemporary theoretical physics problems. The concept of a functional integral is introduced as a method of quantizing finite-dimensional mechanical systems, as an alternative to ordinary quantum mechanics. The problems of systems quantization with constraints and the manifolds quantization are presented here for the first time in a monograph. The application of the functional integration methods to systems with an infinite number of degrees of freedom allows one to uniquely introduce and formulate the diagram perturbation theory in quantum field theory and statistical physics. This approach is significantly simpler than the widely accepted method using an operator approach.
Author | : R. J. Rivers |
Publisher | : Cambridge University Press |
Total Pages | : 356 |
Release | : 1988-10-27 |
Genre | : Science |
ISBN | : 9780521368704 |
Download Path Integral Methods in Quantum Field Theory Book in PDF, Epub and Kindle
The applications of functional integral methods introduced in this text for solving a range of problems in quantum field theory will prove useful for students and researchers in theoretical physics and quantum field theory.
Author | : Barry Simon |
Publisher | : American Mathematical Soc. |
Total Pages | : 322 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0821835823 |
Download Functional Integration and Quantum Physics Book in PDF, Epub and Kindle
Focuses on probabilistic foundations of the Feynman-Kac formula. Starting with main examples of Gaussian processes (the Brownian motion, the oscillatory process, and the Brownian bridge), this book presents four different proofs of the Feynman-Kac formula.
Author | : Kerson Huang |
Publisher | : John Wiley & Sons |
Total Pages | : 446 |
Release | : 2008-09-26 |
Genre | : Science |
ISBN | : 3527617388 |
Download Quantum Field Theory Book in PDF, Epub and Kindle
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
Author | : Nima Moshayedi |
Publisher | : Springer Nature |
Total Pages | : 126 |
Release | : 2023-07-17 |
Genre | : Science |
ISBN | : 981993530X |
Download Quantum Field Theory and Functional Integrals Book in PDF, Epub and Kindle
Described here is Feynman's path integral approach to quantum mechanics and quantum field theory from a functional integral point of view. Therein lies the main focus of Euclidean field theory. The notion of Gaussian measure and the construction of the Wiener measure are covered. As well, the notion of classical mechanics and the Schrödinger picture of quantum mechanics are recalled. There, the equivalence to the path integral formalism is shown by deriving the quantum mechanical propagator from it. Additionally, an introduction to elements of constructive quantum field theory is provided for readers.
Author | : Lukong Cornelius Fai |
Publisher | : CRC Press |
Total Pages | : 440 |
Release | : 2019-06-20 |
Genre | : Science |
ISBN | : 0429589417 |
Download Quantum Field Theory Book in PDF, Epub and Kindle
Choice Recommended Title, February 2020 This book explores quantum field theory using the Feynman functional and diagrammatic techniques as foundations to apply Quantum Field Theory to a broad range of topics in physics. This book will be of interest not only to condensed matter physicists but physicists in a range of disciplines as the techniques explored apply to high-energy as well as soft matter physics. Features: Comprehensive and rigorous, yet presents an easy to understand approach Applicable to a wide range of disciplines Accessible to those with little, or basic, mathematical understanding
Author | : James Glimm |
Publisher | : Springer Science & Business Media |
Total Pages | : 551 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461247284 |
Download Quantum Physics Book in PDF, Epub and Kindle
Describes fifteen years' work which has led to the construc- tion of solutions to non-linear relativistic local field e- quations in 2 and 3 space-time dimensions. Gives proof of the existence theorem in 2 dimensions and describes many properties of the solutions.
Author | : Zbigniew Haba |
Publisher | : Springer Nature |
Total Pages | : 240 |
Release | : 2023-05-29 |
Genre | : Science |
ISBN | : 3031307127 |
Download Lectures on Quantum Field Theory and Functional Integration Book in PDF, Epub and Kindle
This book offers a concise introduction to quantum field theory and functional integration for students of physics and mathematics. Its aim is to explain mathematical methods developed in the 1970s and 1980s and apply these methods to standard models of quantum field theory. In contrast to other textbooks on quantum field theory, this book treats functional integration as a rigorous mathematical tool. More emphasis is placed on the mathematical framework as opposed to applications to particle physics. It is stressed that the functional integral approach, unlike the operator framework, is suitable for numerical simulations. The book arose from the author's teaching in Wroclaw and preserves the form of his lectures. So some topics are treated as an introduction to the problem rather than a complete solution with all details. Some of the mathematical methods described in the book resulted from the author's own research.
Author | : M Chaichian |
Publisher | : CRC Press |
Total Pages | : 368 |
Release | : 2001-07-01 |
Genre | : Science |
ISBN | : 9780750308021 |
Download Path Integrals in Physics Book in PDF, Epub and Kindle
The path integral approach has proved extremely useful for the understanding of the most complex problems in quantum field theory, cosmology, and condensed matter physics. Path Integrals in Physics: Volume II, Quantum Field Theory, Statistical Physics and other Modern Applications covers the fundamentals of path integrals, both the Wiener and Feynman types, and their many applications in physics. The book deals with systems that have an infinite number of degrees of freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. Each chapter is self-contained and can be considered as an independent textbook. It provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.
Author | : John R. Klauder |
Publisher | : Springer Science & Business Media |
Total Pages | : 292 |
Release | : 2010-11-08 |
Genre | : Mathematics |
ISBN | : 0817647910 |
Download A Modern Approach to Functional Integration Book in PDF, Epub and Kindle
This text takes advantage of recent developments in the theory of path integration and attempts to make a major paradigm shift in how the art of functional integration is practiced. The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond. A Modern Approach to Functional Integration offers insight into a number of contemporary research topics, which may lead to improved methods and results that cannot be found elsewhere in the textbook literature. Exercises are included in most chapters, making the book suitable for a one-semester graduate course on functional integration.