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

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

1999-03-09

arxiv.org/abs/hep-th/9903077v2

Phys.Rev.Lett. 83 (1999) 476-479

Physics

High Energy Physics

High Energy Physics - Theory

8 pages. A missing complex "i" is included in the field strength and the divergent contributions corrected accordingly. As a r

Scientific paper

10.1103/PhysRevLett.83.476

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.

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