Landau confining replica model from an explicitly breaking of a SU(3) group without auxiliary fields

TL;DR

This paper introduces a gluon confinement mechanism in an SU(2) gauge model derived from an explicitly broken SU(3) theory, linking soft breaking terms to the Gribov problem and propagator behavior.

Contribution

It presents a novel replica model based on explicit SU(3) breaking that demonstrates confinement through modified propagators without auxiliary fields.

Findings

Gluon propagators exhibit confinement-like behavior.

The model connects soft breaking terms with the Gribov problem.

Discussion of scaling and decoupling solutions in the context of soft terms.

Abstract

We propose a mechanism displaying gluon confinement, as defined by the behavior of the propagators, in a model of SU(2) gauge fields. The model originates from an explicitly broken SU(3) gauge theory giving rise to a replica model composed of three mixed SU(2) groups. The mechanism consists in the usual SU(3) Yang-Mills theory in the Landau gauge, with a soft breaking term in such a way as to change the field propagation and group content at low energies. The relation of this soft mass term with the Gribov problem is presented and the link between soft terms and the scaling and decoupling solutions is discussed.