Condensates, massive gauge fields and confinement in the SU(3) gauge theory

TL;DR

This paper investigates how ghost and gauge field condensations in SU(3) gauge theory lead to massive gauge fields and confinement, producing a linear potential and revealing magnetic currents in the low-energy regime.

Contribution

It demonstrates that gauge field condensation results in massive gauge fields and confinement, with specific implications for the three-quark potential and magnetic current emergence.

Findings

Gauge field condensation induces mass and confinement.

The static potential exhibits a linear behavior for quark systems.

Magnetic currents appear in the low-energy SU(3) gauge theory.

Abstract

SU(3) gauge theory in the nonlinear gauge of the Curci--Ferrari type is studied. In the low-energy region, ghost condensation and subsequent gauge field condensation can happen. The latter condensation makes classical gauge fields massive. If the color electric potential with string is chosen as the classical gauge field, it produces the static potential with the linear potential. We apply this static potential to the three-quark system, and show, different from the $Y$-type potential, infrared divergence remains in the $\Delta$-type potential. The color electric flux is also studied, and show that the current which plays the role of the magnetic current appears.