Conformal symmetry and the Balitsky-Kovchegov equation

TL;DR

This paper explores solutions to the Balitsky-Kovchegov equation that incorporate conformal symmetry, revealing how the saturation scale depends on impact parameter and applying findings to deep inelastic scattering.

Contribution

It introduces conformally symmetric solutions to the Balitsky-Kovchegov equation and analyzes their implications for the impact parameter dependence of the saturation scale.

Findings

Saturation scale exhibits specific impact parameter dependence due to SO(3) symmetry.

Conformal symmetry constrains solutions to the BK equation.

Applications to deep inelastic scattering demonstrate the relevance of these solutions.

Abstract

Solutions to the Balitsky-Kovchegov equation are considered which respect an SO(3) subgroup of the conformal group. The symmetry dictates a specific dependence of the saturation scale on the impact parameter. Applications to deep inelastic scattering are considered.