A Combinatorial Perspective On Quantum Field Theory
Download A Combinatorial Perspective On Quantum Field Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get A Combinatorial Perspective On Quantum Field Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
A Combinatorial Perspective on Quantum Field Theory
This book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour, shaped by the author’s biases, through some of the important ways that a combinatorial perspective can be brought to bear on quantum field theory. Among the outcomes are both physical insights and interesting mathematics. The book begins by thinking of perturbative expansions as kinds of generating functions and then introduces renormalization Hopf algebras. The remainder is broken into two parts. The first part looks at Dyson-Schwinger equations, stepping gradually from the purely combinatorial to the more physical. The second part looks at Feynman graphs and their periods. The flavour of the book will appeal to mathematicians with a combinatorics background as well as mathematical physicists and other mathematicians.
Quantum Field Theory for Mathematicians
Author: Robin Ticciati
language: en
Publisher: Cambridge University Press
Release Date: 1999-06-13
This should be a useful reference for anybody with an interest in quantum theory.
Modern Quantum Field Theory
Author: Tom Banks
language: en
Publisher: Cambridge University Press
Release Date: 2008-09-18
Presenting a variety of topics that are only briefly touched on in other texts, this book provides a thorough introduction to the techniques of field theory. Covering Feynman diagrams and path integrals, the author emphasizes the path integral approach, the Wilsonian approach to renormalization, and the physics of non-abelian gauge theory. It provides a thorough treatment of quark confinement and chiral symmetry breaking, topics not usually covered in other texts at this level. The Standard Model of particle physics is discussed in detail. Connections with condensed matter physics are explored, and there is a brief, but detailed, treatment of non-perturbative semi-classical methods. Ideal for graduate students in high energy physics and condensed matter physics, the book contains many problems,which help students practise the key techniques of quantum field theory.