Noncommutativity, extra dimensions, and power law running in the infrared

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Published 19 January 2006 • Published under licence by IOP Publishing Ltd
, , Citation Steven A. Abel et al JHEP01(2006)105 DOI 10.1088/1126-6708/2006/01/105

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Author affiliations

1 Department of Mathematical Sciences, University of Durham, Durham, DH1 3LE, U.K.

2 Deutsches Elektronen-Synchrotron DESY, Notkestrasse 85, D-22607 Hamburg, Germany

3 Department of Physics, University of Durham, Durham, DH1 3LE, U.K.

Dates

  1. Received 25 November 2005
  2. Accepted 15 January 2006
  3. Published

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1126-6708/2006/01/105

Abstract

We investigate the running gauge couplings of U(N) noncommutative gauge theories with compact extra dimensions. Power law running of the trace-U(1) gauge coupling in the ultraviolet is communicated to the infrared by ultraviolet/infrared mixing, whereas the SU(N) factors run exactly as in the commutative theory. This results in theories where the experimentally excluded trace-U(1) factors decouple with a power law running of the momentum in the extreme infrared, effectively hiding them from detection.

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10.1088/1126-6708/2006/01/105