Covariant quantization of N=1/2 SYM theories and supergauge invariance

Details Covariant quantization of N=1/2 SYM theories and supergauge invariance Covariant quantization of N=1/2 SYM theories and supergauge invariance

2004-12-03

arxiv.org/abs/hep-th/0412041v2

JHEP 0502 (2005) 064

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 3 figures, some references added

Scientific paper

10.1088/1126-6708/2005/02/064

So far, quantum properties of N=1/2 nonanticommutative (NAC) super Yang--Mills theories have been investigated in the WZ gauge. The gauge independence of the results requires assuming that at the quantum level supergauge invariance is not broken by nonanticommutative geometry. In this paper we use an alternative approach which allows studying these theories in a manifestly gauge independent superspace setup. This is accomplished by generalizing the background field method to the NAC case, by moving to a momentum superspace where star products are treated as exponential factors and by developing momentum supergraph techniques. We compute the one--loop gauge effective action for NAC U(N) gauge theories with matter in the adjoint representation. Despite the appearance of divergent contributions which break (super)gauge invariance, we prove that the effective action at this order is indeed invariant.

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