Dimension two gluon condensates in a variety of gauges and a gauge invariant Yang-Mills action with a mass

TL;DR

This paper reviews the study of dimension two gluon condensates across various gauges and introduces a gauge-invariant Yang-Mills action incorporating a mass parameter derived from a specific operator.

Contribution

It extends the understanding of gluon condensates beyond Landau gauge and proposes a renormalizable gauge-invariant action with a mass term based on a novel operator.

Findings

Analysis of the A^2 operator in different gauges

Development of a gauge-invariant Yang-Mills action with mass

Discussion of renormalizability and gauge invariance

Abstract

We give a short overview of our work concerning the dimension two operator A^2 in the Landau gauge and its generalizations to other gauges. We conclude by discussing recent work that leads to a renormalizable gauge invariant action containing a mass parameter, based on the operator F 1/D^2 F.