Confinement from gluodynamics in curved space-time

TL;DR

This paper calculates the static potential between heavy quarks in curved space-time using a gauge-invariant formalism, revealing a combination of Yukawa and linear potentials that imply confinement.

Contribution

It introduces a method to derive the static quark-antiquark potential in curved space-time, combining gauge invariance with path-dependent variables.

Findings

Potential includes Yukawa and linear terms

Confirms confinement in curved space-time

Method applicable to other gauge theories

Abstract

We determine the static potential for a heavy quark-antiquark pair from gluodynamics in curved space-time. Our calculation is done within the framework of the gauge-invariant, path-dependent, variables formalism. The potential energy is the sum of a Yukawa and a linear potential, leading to the confinement of static charges.