Regularisation Techniques for the Radiative Corrections of the Kaluza - Klein states

نویسنده

  • D. M. Ghilencea
چکیده

Using an effective field theory framework we reconsider the problem of radiative corrections from compact dimensions to the 4D gauge couplings. We evaluate the general structure of one-loop contribution from Kaluza-Klein states to the 4D gauge couplings, in models with one-and two-dimensional orbifold compactifications. The calculation includes the additional effect of a non-vanishing constant gauge background (Wilson lines) which brings in important corrections. The one-loop corrections are computed in three regularisation schemes: dimensional regularisation (DR), Zeta-function regularisation (ZR) and proper-time cutoff regularisation (PT). The relations among the results obtained in these schemes are carefully addressed and extensive technical details are provided. With minimal re-definitions of the parameters involved, the quantitative results obtained can be applied to most orbifold compactifications with one or two compact dimensions. We mention a possible implication for the gauge couplings unification in such models.

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تاریخ انتشار 2003