Non-commutative SU(N) gauge theories and asymptotic freedom

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dc.creatorLatas, Dusko
dc.creatorRadovanovic, Voja
dc.creatorTrampetic, Josip
dc.date2007-03-02
dc.date2007-04-21
dc.date.accessioned2026-07-07T11:59:41Z
dc.date.available2026-07-07T11:59:41Z
dc.descriptionIn this paper we analyze the one-loop renormalization of the $θ$-expanded $\rm SU(N)$ Yang-Mills theory. We show that the {\it freedom parameter} $a$, key to renormalization, originates from higher order non-commutative gauge interaction, represented by a higher derivative term $ b h θ^{μν}\hat F_{μν}\star\hat F_{ρσ}\star\hat F^{ρσ}$. The renormalization condition fixes the allowed values of the parameter $a$ to one of the two solutions: $a=1$ or $a=3$, i.e. to $b=0$ or to $b=1/2$, respectively. When the higher order interaction is switched on, ($a=3$), pure non-commutative SU(N) gauge theory at first order in $θ$-expansion becomes one-loop renormalizable for various representations of the gauge group. We also show that, in the case $a=3$ and the adjoint representation of the gauge fields, the non-commutative deformation parameter $h$ has to be renormalized and it is asymptotically free.
dc.description16 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0703018
dc.identifierhttp://arxiv.org/abs/hep-th/0703018
dc.identifierPhys.Rev.D76:085006,2007
dc.identifierdoi:10.1103/PhysRevD.76.085006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206652
dc.subjectHigh Energy Physics - Theory
dc.titleNon-commutative SU(N) gauge theories and asymptotic freedom
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