Preferred foliation effects in quantum general relativity

DOI10.1088/0264-9381/27/13/135014zbMATH Open1195.83042arXiv0910.0623OpenAlexW2087203128MaRDI QIDQ3581342

Alexander Schenkel, Tim A. Koslowski

Publication date: 16 August 2010

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: We investigate the infrared (IR) effects of Lorentz violating terms in the gravitational sector using functional renormalization group methods similar to Reuter and collaborators. The model we consider consists of pure quantum gravity coupled to a preferred foliation, described effectively via a scalar field with non-standard dynamics. We find that vanishing Lorentz violation is a UV attractive fixed-point of this model in the local potential approximation. Since larger truncations may lead to differing results, we study as a first example effects of additional matter fields on the RG running of the Lorentz violating term and provide a general argument why they are small.

Full work available at URL: https://arxiv.org/abs/0910.0623

zbMATH Keywords

Einstein's equations renormalization group methods quantization of the gravitational field

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

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