On Perturbative Gravity and Gauge Theory

Abstract

We review some applications of tree-level (classical) relations between gravity and gauge theory that follow from string theory. Together with $D$-dimensional unitarity, these relations can be used to perturbatively quantize gravity theories, i.e. they contain the necessary information for obtaining loop contributions. We also review recent applications of these ideas showing that N=1 D=11 supergravity diverges, and review arguments that N=8 D=4 supergravity is less divergent than previously thought, though it does appear to diverge at five loops. Finally, we describe field variables for the Einstein-Hilbert Lagrangian that help clarify the perturbative relationship between gravity and gauge theory.

Talk presented at Third Meeting on Constrained Dynamics and Quantum Gravity, Villasimius (Sardinia, Italy) September 13-17, 1999 and at the Workshop on Light-Cone QCD and Nonperturbative Hadron Physics, University of Adelaide (Australia) December 13-22, 1999. Latex, 9 pages

References in corpus (2)

• Multi-Parton Amplitudes in Gauge Theories
• Perturbative Gravity from QCD Amplitudes

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• Gravity and Form Scattering and Renormalisation of Gravity in Six and Eight Dimensions
• Disk relations for tree amplitudes in minimal coupling theory of gauge field and gravity
• TeV-scale gravity in Horava-Witten theory on a compact complex hyperbolic threefold