期刊
PHYSICAL REVIEW D
卷 78, 期 10, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.78.105019
关键词
-
资金
- US Department of Energy [DE-FG03-91ER40662, DE-AC02-76SF00515, DE-FG02-90ER40577]
- US National Science Foundation [PHY-0455649, PHY-0608114]
- A. P. Sloan Foundation
- Guy Weyl Physics
- Astronomy Alumni
Using the method of maximal cuts, we obtain a form of the three-loop four-point scattering amplitude of N=8 supergravity in which all ultraviolet cancellations are made manifest. The Feynman loop integrals that appear have a graphical representation with only cubic vertices, and numerator factors that are quadratic in the loop momenta, rather than quartic as in the previous form. This quadratic behavior reflects cancellations beyond those required for finiteness, and matches the quadratic behavior of the three-loop four-point scattering amplitude in N=4 super-Yang-Mills theory. By direct integration we confirm that no additional cancellations remain in the N=8 supergravity amplitude, thus demonstrating that the critical dimension in which the first ultraviolet divergence occurs at three loops is D-c=6. We also give the values of the three-loop divergences in D=7, 9, 11. In addition, we present the explicitly color-dressed three-loop four-point amplitude of N=4 super-Yang-Mills theory.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据