A Combinatorial Perspective on Quantum Field Theory

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Release : 2016-11-23
Genre : Science
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Book Rating : 517/5 ( reviews)

A Combinatorial Perspective on Quantum Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Combinatorial Perspective on Quantum Field Theory write by Karen Yeats. This book was released on 2016-11-23. A Combinatorial Perspective on Quantum Field Theory available in PDF, EPUB and Kindle. 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.

Combinatorial Physics

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Release : 2021
Genre : Computers
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Book Rating : 494/5 ( reviews)

Combinatorial Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combinatorial Physics write by Adrian Tanasa. This book was released on 2021. Combinatorial Physics available in PDF, EPUB and Kindle. The goal of the book is to use combinatorial techniques to solve fundamental physics problems, and vice-versa, to use theoretical physics techniques to solve combinatorial problems.

Quantum Field Theory for Mathematicians

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Release : 1999-06-13
Genre : Mathematics
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Book Rating : 65X/5 ( reviews)

Quantum Field Theory for Mathematicians - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Field Theory for Mathematicians write by Robin Ticciati. This book was released on 1999-06-13. Quantum Field Theory for Mathematicians available in PDF, EPUB and Kindle. This should be a useful reference for anybody with an interest in quantum theory.

Graphs in Perturbation Theory

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Release : 2018-11-04
Genre : Science
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Book Rating : 417/5 ( reviews)

Graphs in Perturbation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Graphs in Perturbation Theory write by Michael Borinsky. This book was released on 2018-11-04. Graphs in Perturbation Theory available in PDF, EPUB and Kindle. This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory. Starting with an exposition of the Hopf algebra structure of generic graphs, it reviews and summarizes the existing literature. It then applies this Hopf algebraic structure to the combinatorics of graphical enumeration for the first time, and introduces a novel method of asymptotic analysis to answer asymptotic questions. This major breakthrough has combinatorial applications far beyond the analysis of graphical enumeration. The book also provides detailed examples for the asymptotics of renormalizable quantum field theories, which underlie the Standard Model of particle physics. A deeper analysis of such renormalizable field theories reveals their algebraic lattice structure. The pedagogical presentation allows readers to apply these new methods to other problems, making this thesis a future classic for the study of asymptotic problems in quantum fields, network theory and far beyond.

Condensed Matter Field Theory

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Release : 2010-03-11
Genre : Science
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Book Rating : 752/5 ( reviews)

Condensed Matter Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Condensed Matter Field Theory write by Alexander Altland. This book was released on 2010-03-11. Condensed Matter Field Theory available in PDF, EPUB and Kindle. This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.