Remarks on the dynamical mass generation in confining Yang-Mills theories

TL;DR

This paper investigates how gluons acquire mass dynamically in confining Yang-Mills theories with a renormalizable mass term, using a self-consistent gap equation and analyzing implications for unitarity.

Contribution

It introduces a self-consistent approach to gluon mass generation in Yang-Mills theories with a renormalizable mass term, explicitly working out the Landau gauge case at one loop.

Findings

Mass parameter determined by a gap equation obeying the renormalization group

Explicit one-loop analysis in Landau gauge

Remarks on unitarity issues in the theory

Abstract

The dynamical mass generation for gluons is discussed in Euclidean Yang-Mills theories supplemented with a renormalizable mass term. The mass parameter is not free, being determined in a self-consistent way through a gap equation which obeys the renormalization group. The example of the Landau gauge is worked out explicitly at one loop order. A few remarks on the issue of the unitarity are provided.