Tuesday, February 5, 2013

1302.0080 (Karen Yeats)

Some combinatorial interpretations in perturbative quantum field theory    [PDF]

Karen Yeats
This paper will describe how combinatorial interpretations can help us understand the algebraic structure of two aspects of perturbative quantum field theory, namely analytic Dyson-Schwinger equations and periods of scalar Feynman graphs. The particular examples which will be looked at are, a better reduction to geometric series for Dyson-Schwinger equations, a subgraph which yields extra denominator reductions in scalar Feynman integrals, and an explanation of a trick of Brown and Schnetz to get one extra step in the denominator reduction of an important particular graph.
View original: http://arxiv.org/abs/1302.0080

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