期刊
PHYSICAL REVIEW D
卷 102, 期 12, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.102.126027
关键词
-
资金
- FONDECYT [11190427, 11171148]
- European Research Council (ERC) under the European Unions Horizon 2020 research and innovation programme [852386]
We study the effect of loop corrections to conformal correlators on the celestial sphere at null infinity. We fast analyze fmite one-loop celestial amplitudes in pure Yang-Mills theory and Einstein gravity. We then turn to our main focus: infrared divergent loop amplitudes in planar N = 4 super-Yang-Mills theory. We compute the celestial one-loop amplitude in dimensional regularization and show that it can be recast as an operator acting on the celestial tree-level amplitude. This extends to any loop order, and the resummation of all planar loops enables us to write down an expression for the all-loop celestial amplitude. Finally, we show that the exponentiated all-loop expression given by the Bern-Dixon-Smirnov (BDS) formula gets promoted on the celestial sphere to an operator acting on the tree-level conformal correlation function, thus yielding, the celestial BDS formula.
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