Some remarks on Feynman rules for non-commutative gauge theories based on groups $G\neq U(N)$

Details Some remarks on Feynman rules for non-commutative gauge theories based on groups $G\neq U(N)$ Some remarks on Feynman rules for non-commutative gauge theories based on groups $G\neq U(N)$

2002-05-28

arxiv.org/abs/hep-th/0205286v1

JHEP 0207 (2002) 018

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX, 5 figures

Scientific paper

10.1088/1126-6708/2002/07/018

We study for subgroups $G\subseteq U(N)$ partial summations of the $\theta$-expanded perturbation theory. On diagrammatic level a summation procedure is established, which in the U(N) case delivers the full star-product induced rules. Thereby we uncover a cancellation mechanism between certain diagrams, which is crucial in the U(N) case, but set out of work for $G\subset U(N)$. In addition, an explicit proof is given that for $G\subset U(N), G\neq U(M), M

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