Ultraviolet Behavior of N=8 Supergravity at Four Loops

被引：195

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

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 103卷 / 08期

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.

引用

页数：4

共 49 条

[1] On tree amplitudes in gauge theory and gravity
Arkani-Hamed, Nima
Kaplan, Jared
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2008, (04):
[2] ARKANIHAMED N, ARXIV08081446
[3] Simplicity in the structure of QED and gravity amplitudes
Badger, Simon
Bjerrum-Bohr, N. E. J.
Vanhove, Pierre
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2009, (02):
[4] Taming tree amplitudes in general relativity
Benincasa, Paolo
Boucher-Veronneau, Camille
Cachazo, Freddy
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2007, (11):
[5] New higher-derivative R4 theorems for graviton scattering
Berkovits, Nathan
[J]. PHYSICAL REVIEW LETTERS, 2007, 98 (21)
[6] Maximally supersymmetric planar Yang-Mills amplitudes at five loops
Bern, Z.
Carrasco, J. J. M.
Johansson, H.
Kosower, D. A.
[J]. PHYSICAL REVIEW D, 2007, 76 (12):
[7] Cancellations beyond finiteness in N=8 supergravity at three loops
Bern, Z.
Carrasco, J. J.
Dixon, L. J.
Johansson, H.
Kosower, D. A.
Roiban, R.
[J]. PHYSICAL REVIEW LETTERS, 2007, 98 (16)
[8] Is N=8 supergravity ultraviolet finite?
Bern, Z.
Dixon, L. J.
Roiban, R.
[J]. PHYSICS LETTERS B, 2007, 644 (04) : 265 - 271
[9] Bern Z, 2005, J HIGH ENERGY PHYS
[10] Bern Z, 2004, J HIGH ENERGY PHYS, DOI 10.1088/1126-6708/2004/08/012

← 1 2 3 4 5 →