Faddeev-Popov ghosts in quantum gravity beyond perturbation theory

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Abstract

We study the Faddeev-Popov ghost sector of asymptotically safe quantum gravity, which becomes nonperturbative in the ultraviolet. We point out that nonzero matter-ghost couplings and higher-order ghost self-interactions exist at a non-Gaussian fixed point for the gravitational couplings, i.e., in the ultraviolet. Thus the ghost sector in this nonperturbative ultraviolet completion does not keep the structure of a simple Faddeev-Popov determinant. We discuss implications of the new ghost couplings for the renormalization group flow in gravity, the form of the ultraviolet completion, and the relevant couplings, i.e., free parameters, of the theory.

Original languageEnglish
Article number124016
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume87
Issue number12
DOIs
Publication statusPublished - 17. Jun 2013

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