Compact Dimensions and their Radiative Mixing

dc.creatorGhilencea, D. M.
dc.date2003-11-20
dc.date2004-06-01
dc.date.accessioned2026-07-07T11:09:28Z
dc.date.available2026-07-07T11:09:28Z
dc.descriptionFor one and two dimensional field theory orbifolds we compute in the DR scheme the full dependence on the momentum scale (q) of the one-loop radiative corrections to the 4D gauge coupling. Imposing a discrete "shift" symmetry of summing the infinite towers of associated Kaluza-Klein (KK) modes, it is shown that higher dimension operators are radiatively generated as one-loop counterterms for the case of two (but not for one) compact dimension(s). They emerge as a ``radiative mixing'' of effects (Kaluza-Klein infinite sums) associated with both compact dimensions. Particular attention is paid to the link of the one-loop corrections with their counterparts computed in infrared regularised 4D N=1 heterotic string orbifolds with N=2 sectors. The correction from these sectors usually ignores higher order terms in the IR string regulator (lambda_s->0) of type lambda_s ln(alpha'), but these become relevant in the field theory limit alpha'->0. Such terms ultimately re-emerge in pure field theory calculations of $Π(q^2)$ as higher dimension one-loop counterterms. We stress the importance of such terms for the unification of gauge couplings and for the predicted value of the string scale.
dc.description14 pages, LaTeX; additional comments
dc.identifierhttps://arxiv.org/abs/hep-ph/0311264
dc.identifierhttp://arxiv.org/abs/hep-ph/0311264
dc.identifierPhys.Rev.D70:045018,2004
dc.identifierdoi:10.1103/PhysRevD.70.045018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190476
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleCompact Dimensions and their Radiative Mixing
dc.typetext

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