Some remarks on Feynman rules for non-commutative gauge theories based on groupsG$\not=$U(N) | Zendy

Harald Dorn | Zendy; Christoph Sieg | Zendy

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Some remarks on Feynman rules for non-commutative gauge theories based on groupsG$\not=$U(N)

Author(s) -

Harald Dorn,

Christoph Sieg

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/07/018

Subject(s) - feynman diagram , propagator , star product , mathematics , feynman integral , diagrammatic reasoning , feynman graph , product (mathematics) , gauge (firearms) , combinatorics , pure mathematics , physics , algebra over a field , discrete mathematics , mathematical physics , computer science , particle physics , geometry , programming language , archaeology , history

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

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