Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-10-04
Phys.Lett.B660:579-582,2008
Physics
High Energy Physics
High Energy Physics - Theory
4 pages, 1 figure, uses revtex and feynmf. v2: references added
Scientific paper
10.1016/j.physletb.2008.01.037
The 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.
Ebert Dietmar
Plefka Jan
Rodigast Andreas
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