OneLoop UV Divergent Structure of U(1) YangMills Theory on Noncommutative ℝ ^{4}
Abstract
We show that U(1) YangMills theory on noncommutative R ^{4} can be renormalized at the oneloop 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 WeylMoyal matrix defining the deformed product over the space of functions on R ^{4} is not renormalized at the oneloop level.
 Publication:

Physical Review Letters
 Pub Date:
 July 1999
 DOI:
 10.1103/PhysRevLett.83.476
 arXiv:
 arXiv:hepth/9903077
 Bibcode:
 1999PhRvL..83..476M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 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