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A Combinatorial Perspective on Quantum Field TheoryIntroduction to Dyson-Schwinger Equations

A Combinatorial Perspective on Quantum Field Theory: Introduction to Dyson-Schwinger Equations [From our graphs-first approach, Dyson-Schwinger equationsDyson-Schwinger equation begin as functional equations for the augmented generating functionsGenerating functionaugmented of Feynman graphs. At this level these equations are purely combinatorial objects, the combinatorial Dyson-Schwinger equations of the previous sections. More strictly, and to match a more standard physics treatment, combinatorial Dyson-Schwinger equations should be functional equations for the augmented generating functions of families of 1PIOne particle irreducibleFeynman graphsFeynman graph with a fixed external leg structureExternal leg structure, or their equivalents at the level of insertion treesInsertion tree.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Combinatorial Perspective on Quantum Field TheoryIntroduction to Dyson-Schwinger Equations

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Publisher
Springer International Publishing
Copyright
© The Author(s) 2017
ISBN
978-3-319-47550-9
Pages
57 –59
DOI
10.1007/978-3-319-47551-6_6
Publisher site
See Chapter on Publisher Site

Abstract

[From our graphs-first approach, Dyson-Schwinger equationsDyson-Schwinger equation begin as functional equations for the augmented generating functionsGenerating functionaugmented of Feynman graphs. At this level these equations are purely combinatorial objects, the combinatorial Dyson-Schwinger equations of the previous sections. More strictly, and to match a more standard physics treatment, combinatorial Dyson-Schwinger equations should be functional equations for the augmented generating functions of families of 1PIOne particle irreducibleFeynman graphsFeynman graph with a fixed external leg structureExternal leg structure, or their equivalents at the level of insertion treesInsertion tree.]

Published: Nov 26, 2016

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