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A Combinatorial Perspective on Quantum Field TheoryChord Diagram Expansions

A Combinatorial Perspective on Quantum Field Theory: Chord Diagram Expansions [The next step on our path following Dyson-Schwinger equationsDyson-Schwinger equation from combinatorics to physics is to allow richer Feynman rulesFeynman rules, rich enough to capture physically relevant situations. We will, however, be sticking to the single scaleKinematical parameter case as one sees in propagator insertionsInsertionFeynman graph. We still want to have combinatorial control over the answer and so the first step is to rewrite the analytic Dyson-Schwinger equation so as to unwind the analytic side from the combinatorial side as much as possible.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Combinatorial Perspective on Quantum Field TheoryChord Diagram Expansions

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Publisher
Springer International Publishing
Copyright
© The Author(s) 2017
ISBN
978-3-319-47550-9
Pages
71 –80
DOI
10.1007/978-3-319-47551-6_9
Publisher site
See Chapter on Publisher Site

Abstract

[The next step on our path following Dyson-Schwinger equationsDyson-Schwinger equation from combinatorics to physics is to allow richer Feynman rulesFeynman rules, rich enough to capture physically relevant situations. We will, however, be sticking to the single scaleKinematical parameter case as one sees in propagator insertionsInsertionFeynman graph. We still want to have combinatorial control over the answer and so the first step is to rewrite the analytic Dyson-Schwinger equation so as to unwind the analytic side from the combinatorial side as much as possible.]

Published: Nov 26, 2016

Keywords: Green Function; Anomalous Dimension; Binary Tree; Intersection Graph; Renormalization Group Equation

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