Vacuum condensates, effective gluon mass and color confinement

TL;DR

This paper introduces a reformulation of Yang-Mills theory that simplifies gluon interactions by auxiliary fields, providing insights into gluon mass generation and confinement mechanisms.

Contribution

It presents a novel reformulation of Yang-Mills theory eliminating certain gluon self-interactions through auxiliary fields, facilitating analysis of confinement and mass generation.

Findings

Auxiliary fields become dynamical via quantum corrections.

Transverse-gluon pair condensation is key to mass generation.

Confinement arises from dynamical auxiliary fields.

Abstract

We propose a new reformulation of Yang-Mills theory in which three- and four-gluon self-interactions are eliminated at the price of introducing a sufficient number of auxiliary fields. We discuss the validity of this reformulation in the possible applications such as dynamical gluon mass generation, color confinement and glueball mass calculation. We emphasize the transverse-gluon pair condensation as the basic mechanism for dynamical mass generation. The confinement is realized as a consequence of a fact that the auxiliary fields become dynamical in the sense that they acquire the kinetic term due to quantum corrections.