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, M., Penati, S., Romagnoni, A., & Siani, M. (2009). Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability. JOURNAL OF HIGH ENERGY PHYSICS, 2009(7) [10.1088/1126-6708/2009/07/039].
Citazione: | Bianchi, M., Penati, S., Romagnoni, A., & Siani, M. (2009). Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability. JOURNAL OF HIGH ENERGY PHYSICS, 2009(7) [10.1088/1126-6708/2009/07/039]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | No | |
Titolo: | Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability | |
Autori: | Bianchi, M; Penati, S; Romagnoni, A; Siani, M | |
Autori: | ||
Data di pubblicazione: | 2009 | |
Lingua: | English | |
Rivista: | JOURNAL OF HIGH ENERGY PHYSICS | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1088/1126-6708/2009/07/039 | |
Appare nelle tipologie: | 01 - Articolo su rivista |