Noncommutativity, Extra Dimensions, and Power Law Running in the Infrared

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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22 pages, 2 figures and 1 table

Scientific paper

10.1088/1126-6708/2006/01/105

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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