Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-04-21
JHEP 0907:039,2009
Physics
High Energy Physics
High Energy Physics - Theory
1+30 pages, 5 figures
Scientific paper
10.1088/1126-6708/2009/07/039
Renormalizable nonanticommutative SYM theories with chiral matter in the adjoint representation of the gauge group have been recently constructed in [arXiv:0901.3094]. In the present paper we focus on the U*(1) case with matter interacting through a cubic superpotential. For a single flavor, in a superspace setup and manifest background covariant approach we perform the complete one-loop renormalization and compute the beta-functions for all couplings appearing in the action. We then generalize the calculation to the case of SU(3) flavor matter with a cubic superpotential viewed as a nontrivial NAC generalization of the ordinary abelian N=4 SYM and its marginal deformations. We find that, as in the ordinary commutative case, the NAC N=4 theory is one-loop finite. We provide general arguments in support of all-loop finiteness. Instead, deforming the superpotential by marginal operators gives rise to beta-functions which are in general non-vanishing. We study the spectrum of fixed points and the RG flows. We find that nonanticommutativity always makes the fixed points unstable.
Bianchi Marco S.
Penati Silvia
Romagnoni Alberto
Siani Massimo
No associations
LandOfFree
Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-371681