Perturbative quantum gauge fields on the noncommutative torus

Details Perturbative quantum gauge fields on the noncommutative torus Perturbative quantum gauge fields on the noncommutative torus

1999-03-22

arxiv.org/abs/hep-th/9903187v2

Int.J.Mod.Phys. A15 (2000) 1011-1030

Physics

High Energy Physics

High Energy Physics - Theory

Latex 2e, 19 pages 5 eps figures, typos corrected and 1 reference added

Scientific paper

10.1142/S0217751X00000495

Using standard field theoretical techniques, we survey pure Yang-Mills theory on the noncommutative torus, including Feynman rules and BRS symmetry. Although in general free of any infrared singularity, the theory is ultraviolet divergent. Because of an invariant regularization scheme, this theory turns out to be renormalizable and the detailed computation of the one loop counterterms is given, leading to an asymptoticaly free theory. Besides, it turns out that non planar diagrams are overall convergent when $\theta$ is irrational.

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