Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-06-09
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, 4 figures, 1 table. Proceedings for the CORFU 2005 Satellite workshop: ``Noncommutative Geometry in Field and String
Scientific paper
10.1088/1742-6596/53/1/055
Restrictions imposed by gauge invariance in noncommutative spaces together with the effects of ultraviolet/infrared mixing lead to strong constraints on possible candidates for a noncommutative extension of the Standard Model. We study a general class of noncommutative models consistent with these restrictions. Specifically we consider models based upon a gauge theory with the gauge group U(N_1)\times U(N_2)\times ...\times U(N_m) coupled to matter fields transforming in the (anti)-fundamental, bi-fundamental and adjoint representations. We pay particular attention to overall trace-U(1) factors of the gauge group which are affected by the ultraviolet/infrared mixing. Typically, these trace-U(1) gauge fields do not decouple sufficiently fast in the infrared, and lead to sizable Lorentz symmetry violating effects in the low-energy effective theory. In a 4-dimensional theory on a continuous space-time making these effects unobservable would require making the effects of noncommutativity tiny, M_NC>>M_P. This severely limits the phenomenological prospects of such models. However, adding additional universal extra dimensions the trace-U(1) factors decouple with a power law and the constraint on the noncommutativity scale is weakened considerably. Finally, we briefly mention some interesting properties of the photon that could arise if the noncommutative theory is modified at a high energy scale.
Abel Steven A.
Jaeckel Joerg
Khoze Valentin V.
Ringwald Andreas
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