Ground State in Gluodynamics and Quark Confinement

TL;DR

This paper explores how the ground state wavefunctional in gluodynamics leads to quark confinement, emphasizing the role of a mass gap and calculating the string tension based on vacuum properties.

Contribution

It demonstrates that confinement results from a mass gap in the gauge group averaging and provides a calculation of the string tension under specific infrared assumptions.

Findings

Confinement is linked to a mass gap in the ground state.

The string tension can be computed from the vacuum wavefunctional.

Infrared behavior assumptions influence the string tension calculation.

Abstract

The properties of the ground state wavefunctional in gluodynamics responsible for confinement are considered. It is shown that confinement arises due to the generation of a mass gap in the averaging over the gauge group which is necessary to ensure the gauge invariance of the ground state. The string tension is calculated in assumption of a particular infrared behavior of the vacuum wavefunctional.