Preferred foliation effects in Quantum General Relativity

Koslowski, Tim; Schenkel, Alexander

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.

Citation

Koslowski, T., & Schenkel, A. (2010). Preferred foliation effects in Quantum General Relativity. Classical and Quantum Gravity, 27(13), Article 135014. https://doi.org/10.1088/0264-9381/27/13/135014

• Journal Article Type: Article
• Acceptance Date: Mar 1, 2010
• Online Publication Date: May 17, 2010
• Publication Date: Jul 7, 2010
• Deposit Date: Aug 22, 2019
• Journal: Classical and Quantum Gravity
• Print ISSN: 0264-9381
• Electronic ISSN: 1361-6382
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 27
• Issue: 13
• Article Number: 135014
• DOI: https://doi.org/10.1088/0264-9381/27/13/135014
• Keywords: General Relativity and Quantum Cosmology; High Energy Physics - Theory
• Public URL: https://nottingham-repository.worktribe.com/output/2460609
• Publisher URL: https://iopscience.iop.org/article/10.1088/0264-9381/27/13/135014