On the renormalization of gauge theories in curved space-time

Details On the renormalization of gauge theories in curved space-time On the renormalization of gauge theories in curved space-time

2009-11-24

arxiv.org/abs/0911.4579v2

Phys.Rev.D81:044026,2010

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, LaTeX, 3 figures. A few misprints and English corrections to fit published version

Scientific paper

10.1103/PhysRevD.81.044026

We consider the renormalization of general gauge theories on curved space-time background, with the main assumption being the existence of a gauge-invariant and diffeomorphism invariant regularization. Using the Batalin-Vilkovisky (BV) formalism one can show that the theory possesses gauge invariant and diffeomorphism invariant renormalizability at quantum level, up to an arbitrary order of the loop expansion. Starting from this point we discuss the locality of the counterterms and the general prescription for constructing the power-counting renormalizable theories on curved background.

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