Examples of the Vilkovisky-Dewitt effective action in one-loop quantum gravity

Bruce Allen, John G. Mc Laughlin, and Adrian C. Ottewill
Phys. Rev. D 45, 4504 – Published 15 June 1992

Abstract

We present two examples where the contribution of one-loop gravitons to the renormalized stress-energy tensor may be calculated explicitly from both the standard and the Vilkovisky-DeWitt effective action. The renormalization is carried out using the Hadamard renormalization procedure outlined by Allen, Folacci, and Ottewill [Phys. Rev. D 38, 1069 (1988)]. The examples show that the standard and Vilkovisky-DeWitt formulations of quantum field theory lead to different physical predictions at one loop.

  • Received 24 February 1992

DOI:https://doi.org/10.1103/PhysRevD.45.4504

©1992 American Physical Society

Authors & Affiliations

Bruce Allen*

  • Department of Physics, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, Wisconsin 53201

John G. Mc Laughlin

  • Department of Physics, Montana State University, Bozeman, Montana 59717

Adrian C. Ottewill

  • Mathematical Institute, University of Oxford, 24-29 St. Giles', Oxford OX1 3LB, United Kingdom

  • *Electronic address: ballen@dirac.phys.uwm.edu.
  • Electronic address: uphjm@terra.oscs.montana.edu.
  • Electronic address: ottewill@vax.oxford.ac.uk.

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Vol. 45, Iss. 12 — 15 June 1992

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