The U(1)A anomaly in noncommutative SU(N) theories

Details The U(1)A anomaly in noncommutative SU(N) theories The U(1)A anomaly in noncommutative SU(N) theories

2005-03-17

arxiv.org/abs/hep-th/0503139v2

Phys.Rev. D72 (2005) 085008

Physics

High Energy Physics

High Energy Physics - Theory

50 pages, 5 figures in eps files. Some comments and references added

Scientific paper

10.1103/PhysRevD.72.085008

We work out the one-loop $U(1)_A$ anomaly for noncommutative SU(N) gauge theories up to second order in the noncommutative parameter $\theta^{\mu\nu}$. We set $\theta^{0i}=0$ and conclude that there is no breaking of the classical $U(1)_A$ symmetry of the theory coming from the contributions that are either linear or quadratic in $\theta^{\mu\nu}$. Of course, the ordinary anomalous contributions will be still with us. We also show that the one-loop conservation of the nonsinglet currents holds at least up to second order in $\theta^{\mu\nu}$. We adapt our results to noncommutative gauge theories with SO(N) and U(1) gauge groups.

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