Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2016)137
Keywords
Gauge Symmetry; Scattering Amplitudes; Spontaneous Symmetry Breaking
Categories
Funding
- DOE grant [DE-FG02-91ER40654]
- Fundamental Laws Initiative at Harvard
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Scattering amplitudes of any four-dimensional theory with nonabelian gauge group G may be recast as two-dimensional correlation functions on the asymptotic two-sphere at null in finity. The soft gluon theorem is shown, for massless theories at the semiclassical level, to be the Ward identity of a holomorphic two-dimensional G-Kac-Moody symmetry acting on these correlation functions. Holomorphic Kac-Moody current insertions are positive helicity soft gluon insertions. The Kac-Moody transformations are a CPT invariant subgroup of gauge transformations which act nontrivially at null in finity and comprise the four-dimensional asymptotic symmetry group.
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