The One-loop UV Divergent Structure of U(1) Yang-Mills Theory on Noncommutative R^4

Preprint

9 March 1999

preprint
Published by arXiv in arXiv

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 not 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

DIVERGENT STRUCTURE
NONCOMMUTATIVE
UV DIVERGENT
RENORMALIZED
MILLS THEORY
YANG MILLS
LOOP LEVEL
LOOP UV

All Related Versions

Version 1, 1999-03-09, ArXiv
Version 2, 1999-03-10, ArXiv
Published version: Physical Review Letters, 83 (3), 476.

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