Comments on Perturbative Dynamics of Non-Commutative Yang-Mills Theory

Details Comments on Perturbative Dynamics of Non-Commutative Yang-Mills Theory Comments on Perturbative Dynamics of Non-Commutative Yang-Mills Theory

2000-05-23

arxiv.org/abs/hep-th/0005208v2

Nucl.Phys. B593 (2001) 229-242

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, Latex. 4 figures. v2: minor changes, refs. added. To appear in Nucl.Phys.B

Scientific paper

10.1016/S0550-3213(00)00557-5

We study the U(N) non-commutative Yang-Mills theory at the one-loop approximation. We check renormalizability and gauge invariance of the model and calculate the one-loop beta function. The interaction of the SU(N) gauge bosons with the U(1) gauge boson plays an important role in the consistency check. In particular, the SU(N) theory by itself is not consistent. We also find that the theta --> 0 limit of the U(N) theory does not converge to the ordinary SU(N) x U(1) commutative theory, even at the planar limit. Finally, we comment on the UV/IR mixing.

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