An Abelian Ward identity and the vertex corrections to the color superconducting gap

TL;DR

This paper derives an Abelian-like Ward identity in color superconducting phases and demonstrates that vertex corrections do not affect the gap at subleading order for gapped excitations.

Contribution

It introduces a Ward identity specific to color superconductivity and shows the absence of certain vertex correction contributions to the gap.

Findings

Ward identity constrains vertex corrections

Vertex corrections do not contribute at subleading order

Simplifies understanding of gap calculations in color superconductivity

Abstract

We derive an Abelian-like Ward identity in color superconducting phase and calculate vertex corrections to the color superconducting gap. Making use of the Ward identity, we show that subleading order contributions to the gap from vertices are absent for gapped excitations.