Ultraviolet Behavior of N=8 Supergravity at Four Loops

被引:196
作者
Bern, Z. [1 ]
Carrasco, J. J. M. [1 ]
Dixon, L. J. [2 ]
Johansson, H. [1 ]
Roiban, R. [3 ]
机构
[1] Univ Calif Los Angeles, Dept Phys & Astron, Los Angeles, CA 90095 USA
[2] Stanford Univ, SLAC Natl Accelerator Lab, Stanford, CA 94309 USA
[3] Penn State Univ, Dept Phys, University Pk, PA 16802 USA
关键词
TREE AMPLITUDES; YANG-MILLS; RENORMALIZABILITY; DIVERGENCES; UNITARITY; GRAVITY;
D O I
10.1103/PhysRevLett.103.081301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We describe the construction of the complete four-loop four-particle amplitude of N=8 supergravity. The amplitude is ultraviolet finite, not only in four dimensions, but in five dimensions as well. The observed extra cancellations provide additional nontrivial evidence that N=8 supergravity in four dimensions may be ultraviolet finite to all orders of perturbation theory.
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页数:4
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