Functional approaches to infrared Yang-Mills theory in the Coulomb gauge

TL;DR

This paper reviews the use of functional methods like Dyson-Schwinger and renormalization group equations to study the infrared behavior of nonabelian gauge theories in Coulomb gauge, highlighting a new calculation of the color-Coulomb potential.

Contribution

It introduces a new determination of the color-Coulomb potential using functional renormalization group methods, showing a linearly rising potential at large distances.

Findings

Color-Coulomb potential exhibits almost linear rise at large distances.

Functional methods effectively describe infrared properties of nonabelian gauge theories.

New RG-based calculation aligns with expected confinement behavior.

Abstract

We present the current status of ongoing efforts to use functional methods, Dyson-Schwinger equations and functional renormalization group equations, for the description of the infrared regime of nonabelian (pure) gauge theories in the Coulomb gauge. In particular, we present a new determination of the color-Coulomb potential with the help of the functional renormalization group that results in an almost linearly rising potential between static color charges at large spatial distances.