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Non-commutative SU(N) gauge theories and asymptotic freedom (CROSBI ID 137069)

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Latas, Duško ; Radovanović, Voja ; Trampetić, Josip Non-commutative SU(N) gauge theories and asymptotic freedom // Physical review. D, Particles, fields, gravitation, and cosmology, 76 (2007), 8; 0850061-7-x

Podaci o odgovornosti

Latas, Duško ; Radovanović, Voja ; Trampetić, Josip

engleski

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

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.

noncommutative; renormalization; gauge

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Podaci o izdanju

76 (8)

2007.

0850061-7-x

objavljeno

1550-7998

Povezanost rada

Fizika

Indeksiranost