The gravitational cusp anomalous dimension from AdS space

Miller, D.J. and White, C.D. (2012) The gravitational cusp anomalous dimension from AdS space. Physical Review D, 85(10), p. 104034. (doi:10.1103/PhysRevD.85.104034)

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Abstract

Recently a new picture has been developed for examining Wilson lines, and the corresponding anomalous dimensions which govern their renormalization properties. By making a particular coordinate transform, the calculation of the cusp anomalous dimension in QED or QCD can be related to the energy of a pair of static charges in Euclidean Anti-de-Sitter (AdS) space. This paper shows how the same picture can be used to describe Wilson lines in quantum gravity. We show how the relevant cusp anomalous dimension (which has recently been shown to be one loop exact) can be obtained using the Newtonian limit of General Relativity. We also show how both the QED and gravity cases emerge as special cases of a general formulation, and that a continuous parameter exists which interpolates between them. The results may be useful in examining the relations between gauge and gravity theories.

Item Type:Articles (Other)
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:White, Dr Christopher and Miller, Dr David
Authors: Miller, D.J., and White, C.D.
Subjects:Q Science > QC Physics
College/School:College of Science and Engineering > School of Physics and Astronomy
Research Group:Particle Physics Theory
Journal Name:Physical Review D
Publisher:American Physical Society
ISSN:1550-7998
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