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.
Physical Review Letters
- Pub Date:
- July 1999
- High Energy Physics - Theory
- 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