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A Combinatorial Perspective on Quantum Field Theory

SPRINGER
12 / 2016
9783319475509
Inglés
SpringerBriefs in Mathematical Physics
Ingles

Sinopse

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. nbsp;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. nbsp;The remainder is broken into two parts. nbsp;The first part looks at Dyson-Schwinger equations, stepping gradually from the purely combinatorial to the more physical. nbsp;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.

PVP
62,39