Comments on Perturbative Dynamics of Non-Commutative Yang-Mills Theory
High Energy Physics - Theory
2009-10-31 v2
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0005208,
title = {Comments on Perturbative Dynamics of Non-Commutative Yang-Mills Theory},
author = {Adi Armoni},
journal= {arXiv preprint arXiv:hep-th/0005208},
year = {2009}
}
Comments
19 pages, Latex. 4 figures. v2: minor changes, refs. added. To appear in Nucl.Phys.B