Wilson lines corrections to gauge couplings from a field theory approach

Details Wilson lines corrections to gauge couplings from a field theory approach Wilson lines corrections to gauge couplings from a field theory approach

2003-05-10

arxiv.org/abs/hep-th/0305085v4

Nucl.Phys. B670 (2003) 183-220

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, Latex, reference added

Scientific paper

Using an effective field theory approach, we address the effects on the gauge couplings of one and two additional compact dimensions in the presence of a constant background (gauge) field. Such background fields are a generic presence in models with extra dimensions and can be employed for gauge symmetry breaking mechanisms in the context of 4D N=1 supersymmetric models. The structure of the ultraviolet (UV) and infrared (IR) divergences that the gauge couplings develop in the presence of Wilson line vev's is investigated. One-loop radiative corrections to the gauge couplings due to overlapping effects of the compact dimensions and Wilson line vev's are computed for generic 4D N=1 models. Values of Wilson lines vev's corresponding to points (in the ``moduli'' space) of enhanced gauge symmetry cannot be smoothly reached {\it perturbatively} from those corresponding to the broken phase. The one-loop corrections are compared to their (heterotic) string counterpart in the ``field theory'' limit alpha'->0 to show remarkably similar results when no massless states are present in a Kaluza-Klein tower. An additional correction to the gauge coupling exists in the effective field theory approach when for specific Wilson lines vev's massless Kaluza-Klein states are present. This correction is not recoverable by the limit alpha'->0 of the (infrared regularised) string because the infrared regularisation limit and the limit alpha'->0 of the string result do not commute.

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