Wilson lines corrections to gauge couplings from a field theory approach

Abstract

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 are present. This correction is not recoverable by the limit α ′ → 0 of the (infrared regularised) string because the infrared regularisation limit and the limit α ′ → 0 of the string result do not commute.1

Regularization techniques for the radiative corrections of Wilson lines and Kaluza-Klein states

“…Supersymmetry is not a necessary ingredient in formula (16). Supersymmetry is however present in many models with compact dimensions which consider MSSM-like models as the viable "low-energy" limit.…”

“…(16). However, it is useful (particularly for orbifolds case) to analyse the effect of summing separately the contributions of the positive (negative) levels.…”

“…Here we refer to the 4D N=1 heterotic string orbifolds with N=2 sectors (of unrotated T 2 ) and Wilson lines [12] when this string result is considered in the limit of large compactification radii/area (in string units) [16], as required by eq. (30).…”

“…After setting ǫ = 0 the integral equals that evaluated in eqs. (A-28) to (A-31) in Appendix (A-3) of ref [16].…”

Non-perturbative vacuum destabilization and D-brane dynamics

“…The integral can be evaluated by introducing an ultraviolet cut-off, Λ, and an infrared regulator, µ, using the formulas in [75][76][77] …”