The One-loop UV Divergent Structure of U(1) Yang-Mills Theory on Noncommutative R^4
High Energy Physics - Theory
2009-10-31 v2
Abstract
We show that U(1) Yang-Mills theory on noncommutative R^4 can be renormalized at the one-loop level by multiplicative dimensional renormalization of the coupling constant and fields of the theory. We compute the beta function of the theory and conclude that the theory is asymptotically free. We also show that the Weyl-Moyal matrix defining the deformed product over the space of functions on R^4 is not renormalized at the one-loop level.
Keywords
Cite
@article{arxiv.hep-th/9903077,
title = {The One-loop UV Divergent Structure of U(1) Yang-Mills Theory on Noncommutative R^4},
author = {C. P. Martin and D. Sanchez-Ruiz},
journal= {arXiv preprint arXiv:hep-th/9903077},
year = {2009}
}
Comments
8 pages. A missing complex "i" is included in the field strength and the divergent contributions corrected accordingly. As a result the model turns out to be asymptotically free