Work

Perturbative gauge theory at null infinity

Year: 2015
Type: article
Abstract: We describe a theory living on the null conformal boundary $\mathcal{I}$ of four-dimensional Minkowski space, the states of which include the radiative modes of Yang--Mills theory. The action of a Kac--Moody symmetry algebra on the correlators of these states leads to a Ward identity for asymptotic ``large'' gauge transformations which is equivalent to the soft gluon theorem. The subleading soft gluon behavior is also obtained from a Ward identity for charges acting as vector fields on the sphere of null generators of $\mathcal{I}$. Correlation functions of the Yang--Mills states are shown to produce the full classical S-matrix of Yang--Mills theory. The model contains additional states arising from nonunitary gravitational degrees of freedom, indicating a relationship with the twistor string of Berkovits and Witten.
Language: English
Open Access status: bronze
OpenAlex ID: W2229329391
FWCI: 4.011
Cites: 77
Cited by: 55
Related to: 10