Fixed point structure of the conformal factor field in quantum gravity

Juergen A. Dietz, Tim R. Morris, and Zoë H. Slade
Phys. Rev. D 94, 124014 – Published 9 December 2016

Abstract

The O(2) background-independent flow equations for conformally reduced gravity are shown to be equivalent to flow equations naturally adapted to scalar field theory with a wrong-sign kinetic term. This sign change is shown to have a profound effect on the renormalization group properties, broadly resulting in a continuum of fixed points supporting both a discrete and a continuous eigenoperator spectrum, the latter always including relevant directions. The properties at the Gaussian fixed point are understood in particular depth, but also detailed studies of the local potential approximation, and the full O(2) approximation are given. These results are related to evidence for asymptotic safety found by other authors.

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  • Received 12 July 2016

DOI:https://doi.org/10.1103/PhysRevD.94.124014

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Juergen A. Dietz*, Tim R. Morris, and Zoë H. Slade

  • STAG Research Centre and Department of Physics and Astronomy, University of Southampton, Highfield, Southampton SO17 1BJ, United Kingdom

  • *J.A.Dietz@soton.ac.uk
  • T.R.Morris@soton.ac.uk
  • Z.Slade@soton.ac.uk

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Issue

Vol. 94, Iss. 12 — 15 December 2016

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