ePrints

Quadratic divergences and quantum gravitational contributions to gauge coupling constants

Lookup NU author(s): Professor David Toms

Downloads

Full text for this publication is not currently held within this repository. Alternative links are provided below where available.

Abstract

The calculation of quadratic divergences in Einstein-Maxwell theory with a possible cosmological constant is considered. We describe a method of calculation, using the background-field method, that is sensitive to quadratic divergences, is respectful of gauge invariance, and is independent of gauge conditions. A standard renormalization group analysis is applied to the result where it is shown that the quadratic divergences do lead to asymptotic freedom as found in the original paper of Robinson and Wilczek. The role and nature of these quadratic divergences is critically evaluated in light of recent criticism. Within the context of the background-field method, it is shown that it is possible to define the charge in a physically motivated way in which the quadratic divergences do not play a role. This latter view is studied in more depth in a toy model described in an appendix.

Publication metadata

Author(s): Toms DJ

Publication type: Article

Publication status: Published

Journal: Physical Review D

Year: 2011

Volume: 84

Issue: 8

Print publication date: 10/10/2011

ISSN (print): 1550-7998

ISSN (electronic): 1089-4918

Publisher: American Physical Society

URL: http://dx.doi.org/10.1103/PhysRevD.84.084016

DOI: 10.1103/PhysRevD.84.084016

Altmetrics

Share