Infra-red Abelian dominance without Abelian-projection

TL;DR

This paper introduces a new gauge condition in QCD that dynamically generates off-diagonal gluon masses without relying on Abelian projection, supporting the concept of Abelian dominance.

Contribution

A novel quadratic gauge condition is proposed that induces off-diagonal gluon masses dynamically, extending the understanding of Abelian dominance beyond traditional Abelian projection.

Findings

Off-diagonal gluons acquire mass dynamically in the new gauge.

The gauge condition is quadratic in fields and not an Abelian projection.

Supports the idea of Abelian dominance in a broader gauge context.

Abstract

Maximal Abelian gauge has been a particular choice to study dynamical generation of off-diagonal gluon masses in QCD. This gauge is a special case of Abelian projection. Massive off-diagonal gluons are considered a clue to Abelian dominance. Here we propose a gauge condition which is quadratic in fields and which does not fall in the class of Abelian projection. However it does generate off-diagonal gluon masses dynamically thus hinting at Abelian dominance in this gauge too.