2D Kac-Moody symmetry of 4D Yang-Mills theory

A bstract Scattering amplitudes of any four-dimensional theory with nonabelian gauge group G may be recast as two-dimensional correlation functions on the asymptotic twosphere at null infinity. The soft gluon theorem is shown, for massless theories at the semiclassical level, to be the Ward identity...

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Bibliographic Details
Published in:The journal of high energy physics 2016-10, Vol.2016 (10), p.1-19, Article 137
Main Authors: He, Temple, Mitra, Prahar, Strominger, Andrew
Format: Article
Language:English
Subjects:
Asymptotic properties
Classical and Quantum Gravitation
Correlation
Elementary Particles
Gages
Gauge Symmetry
Gauges
Helicity
High energy physics
Insertion
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
Spontaneous Symmetry Breaking
String Theory
Symmetry
Transformations
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Summary:A bstract Scattering amplitudes of any four-dimensional theory with nonabelian gauge group G may be recast as two-dimensional correlation functions on the asymptotic twosphere at null infinity. 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 infinity and comprise the four-dimensional asymptotic symmetry group.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2016)137