Vol. 5 (2002) > lrr-2002-5

doi: 10.12942/lrr-2002-5
Living Rev. Relativity 5 (2002), 5

Perturbative Quantum Gravity and its Relation to Gauge Theory

1 Department of Physics and Astronomy, University of California at Los Angeles, Los Angeles, CA 90095, U.S.A.

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Article Abstract

In this review we describe a non-trivial relationship between perturbative gauge theory and gravity scattering amplitudes. At the semi-classical or tree-level, the scattering amplitudes of gravity theories in flat space can be expressed as a sum of products of well defined pieces of gauge theory amplitudes. These relationships were first discovered by Kawai, Lewellen, and Tye in the context of string theory, but hold more generally. In particular, they hold for standard Einstein gravity. A method based on $D$-dimensional unitarity can then be used to systematically construct all quantum loop corrections order-by-order in perturbation theory using as input thegravity tree amplitudes expressed in terms of gauge theory ones. More generally, the unitarity method provides a means for perturbatively quantizing massless gravity theories without the usual formal apparatus associated with the quantization of constrained systems. As one application, this method was used to demonstrate that maximally supersymmetric gravity is less divergent in the ultraviolet than previously thought.

Keywords: quantum gravity, gauge theory, supergravity

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Since a Living Reviews in Relativity article may evolve over time, please cite the access <date>, which uniquely identifies the version of the article you are referring to:

Zvi Bern,
"Perturbative Quantum Gravity and its Relation to Gauge Theory",
Living Rev. Relativity 5,  (2002),  5. URL (cited on <date>):
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Article History

ORIGINAL http://www.livingreviews.org/lrr-2002-5
Title Perturbative Quantum Gravity and its Relation to Gauge Theory
Author Zvi Bern
Date accepted 12 July 2002, published 31 July 2002
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