Absence of Three-Loop Four-Point Ultraviolet Divergences in N=4 Supergravity

被引：111

作者：

Bern, Zvi ^{[1
,2
]}

Davies, Scott ^{[1
]}

Dennen, Tristan ^{[1
]}

Huang, Yu-tin ^{[1
,3
]}

机构：

[1] Univ Calif Los Angeles, Dept Phys & Astron, Los Angeles, CA 90095 USA

[2] CERN, Div Theory, Dept Phys, CH-1211 Geneva 23, Switzerland

[3] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA

来源：

PHYSICAL REVIEW LETTERS | 2012年 / 108卷 / 20期

关键词：

YANG-MILLS; EXTENDED SUPERGRAVITY; LOOP AMPLITUDES; RENORMALIZABILITY; COUNTERTERMS; LIMITS;

D O I：

10.1103/PhysRevLett.108.201301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We compute the coefficient of the potential three-loop four-point ultraviolet divergence in pure N = 4 supergravity and show that it vanishes, contrary to expectations from symmetry arguments. The recently uncovered duality between color and kinematics is used to greatly streamline the calculation. We comment on all-loop cancellations hinting at further surprises awaiting discovery at higher loops.

引用

页数：4

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