Light transformed gluon correlators in CCFT

TL;DR

This paper investigates celestial correlators of light transformed gluon operators at tree level, demonstrating their conformal covariance, translation invariance, and exploring the OPE structure in the context of celestial conformal field theory.

Contribution

It provides a detailed analysis of light transformed gluon correlators, revealing their conformal properties and establishing a connection between OPEs in Mellin and light transformed bases.

Findings

Correlators satisfy translation invariance constraints.

Three-point functions are conformally covariant after channel summation.

Identifies a new channel-dependent term in the three-point function.

Abstract

In the present work, we study celestial correlators of light transformed gluon operators at tree level. We also discuss the transformation of light transformed operators under the action of 4D translations. The two, three and four-point functions arising from MHV amplitudes in terms of light transformed operators satisfy translation invariance constraints, are non-distributional and contain ordinary CFT power law terms. There is a new channel dependent term in the three point function. We show that the three-point light transformed correlation function is conformally covariant after contributions from all the three channels are added. We also study the OPE limit of the different channels of the three-point function in an attempt to construct a map between the OPE in the Mellin basis and that in the light transformed one.