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

Autori
Latas, Duško ; Radovanović, Voja ; Trampetić, Josip

Izvornik
Physical Review D (1550-7998) 76 (2007), 8; 0850061-7

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
noncommutative; renormalization; gauge

Sažetak
In this paper we analyze the one-loop renormalization of the $\theta$-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 \theta^{; ; \mu\nu}; ; \hat F_{; ; \mu\nu}; ; \star\hat F_{; ; \rho\sigma}; ; \star\hat F^{; ; \rho\sigma}; ; $. 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 $\theta$-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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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