The one loop UV divergent structure of U(1) Yang-Mills theory on noncommutative R**4

Martin, C.P.; Sanchez-Ruiz, D.

doi:10.1103/PhysRevLett.83.476

The one loop UV divergent structure of U(1) Yang-Mills theory on noncommutative R**4

C.P. Martin
(
- Madrid U.
)
,
D. Sanchez-Ruiz
(
- Madrid U.
)

Mar, 1999

8 pages

Published in:

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

e-Print:

hep-th/9903077 [hep-th]

DOI:

10.1103/PhysRevLett.83.476

Report number:

FT-UCM-15-99

View in:

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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.

gauge field theory: U(1)
space-time: noncommutative
regularization: dimensional
renormalization: beta function
asymptotic freedom
invariance: Becchi-Rouet-Stora

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