Absence of gravitational contributions to the running Yang-Mills coupling

dc.creatorEbert, Dietmar
dc.creatorPlefka, Jan
dc.creatorRodigast, Andreas
dc.date2007-10-04
dc.date2007-10-16
dc.date.accessioned2026-07-07T11:37:48Z
dc.date.available2026-07-07T11:37:48Z
dc.descriptionThe question of a modification of the running gauge coupling of (non-) abelian gauge theories by an incorporation of the quantum gravity contribution has recently attracted considerable interest. In this letter we perform an involved diagrammatical calculation in the full Einstein-Yang-Mills system both in cut-off and dimensional regularization at one loop order. It is found that all gravitational quadratic divergencies cancel in cut-off regularization and are trivially absent in dimensional regularization so that there is no alteration to asymptotic freedom at high energies. The logarithmic divergencies give rise to an extended effective Einstein-Yang-Mills Lagrangian with a counterterm of dimension six. In the pure Yang-Mills sector this counterterm can be removed by a nonlinear field redefinition of the gauge potential, reproducing a classical result of Deser, Tsao and van Nieuwenhuizen obtained in the background field method with dimensional regularization.
dc.description4 pages, 1 figure, uses revtex and feynmf. v2: references added
dc.identifierhttps://arxiv.org/abs/0710.1002
dc.identifierhttp://arxiv.org/abs/0710.1002
dc.identifierPhys.Lett.B660:579-582,2008
dc.identifierdoi:10.1016/j.physletb.2008.01.037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199334
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleAbsence of gravitational contributions to the running Yang-Mills coupling
dc.typetext

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