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Title: Cancellations Beyond Finiteness in N=8 Supergravity at Three Loops

Abstract

We construct the three-loop four-point amplitude of N=8 supergravity using the unitarity method. The amplitude is ultraviolet finite in four dimensions. Novel cancellations, not predicted by traditional superspace power-counting arguments, render its degree of divergence in D dimensions no worse than that of N=4 super-Yang-Mills theory--a finite theory in four dimensions. Similar cancellations can be identified at all loop orders in certain unitarity cuts, suggesting that N=8 supergravity may be a perturbatively finite theory of quantum gravity.

Authors:
; ;  [1];  [2];  [3];  [4];  [5]
  1. Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547 (United States)
  2. Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)
  3. Service de Physique Theorique, CEA-Saclay, F-91191 Gif-sur-Yvette cedex (France)
  4. (Switzerland)
  5. Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802 (United States)
Publication Date:
OSTI Identifier:
20951248
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 16; Other Information: DOI: 10.1103/PhysRevLett.98.161303; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; QUANTUM GRAVITY; SUPERGRAVITY; ULTRAVIOLET RADIATION; UNITARITY; YANG-MILLS THEORY

Citation Formats

Bern, Z., Carrasco, J. J., Johansson, H., Dixon, L. J., Kosower, D. A., Institut fuer Theoretische Physik, Universitaet Zuerich, CH-8057 Zurich, and Roiban, R. Cancellations Beyond Finiteness in N=8 Supergravity at Three Loops. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.98.161303.
Bern, Z., Carrasco, J. J., Johansson, H., Dixon, L. J., Kosower, D. A., Institut fuer Theoretische Physik, Universitaet Zuerich, CH-8057 Zurich, & Roiban, R. Cancellations Beyond Finiteness in N=8 Supergravity at Three Loops. United States. doi:10.1103/PHYSREVLETT.98.161303.
Bern, Z., Carrasco, J. J., Johansson, H., Dixon, L. J., Kosower, D. A., Institut fuer Theoretische Physik, Universitaet Zuerich, CH-8057 Zurich, and Roiban, R. Fri . "Cancellations Beyond Finiteness in N=8 Supergravity at Three Loops". United States. doi:10.1103/PHYSREVLETT.98.161303.
@article{osti_20951248,
title = {Cancellations Beyond Finiteness in N=8 Supergravity at Three Loops},
author = {Bern, Z. and Carrasco, J. J. and Johansson, H. and Dixon, L. J. and Kosower, D. A. and Institut fuer Theoretische Physik, Universitaet Zuerich, CH-8057 Zurich and Roiban, R.},
abstractNote = {We construct the three-loop four-point amplitude of N=8 supergravity using the unitarity method. The amplitude is ultraviolet finite in four dimensions. Novel cancellations, not predicted by traditional superspace power-counting arguments, render its degree of divergence in D dimensions no worse than that of N=4 super-Yang-Mills theory--a finite theory in four dimensions. Similar cancellations can be identified at all loop orders in certain unitarity cuts, suggesting that N=8 supergravity may be a perturbatively finite theory of quantum gravity.},
doi = {10.1103/PHYSREVLETT.98.161303},
journal = {Physical Review Letters},
number = 16,
volume = 98,
place = {United States},
year = {Fri Apr 20 00:00:00 EDT 2007},
month = {Fri Apr 20 00:00:00 EDT 2007}
}