Combinatorial Dyson-Schwinger equations in noncommutative field theory

Details Combinatorial Dyson-Schwinger equations in noncommutative field theory Combinatorial Dyson-Schwinger equations in noncommutative field theory

2009-07-13

arxiv.org/abs/0907.2182v1

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 15 figures

Scientific paper

We give here the Hopf algebra structure describing the noncommutative
renormalization of a recently introduced translation-invariant model on Moyal
space. We define Hochschild one-cocyles $B_+^\gamma$ which allows us to write
down the combinatorial Dyson-Schwinger equations for noncommutative quantum
field theory. One- and two-loops examples are explicitly worked out.

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