Dynamics and topology of the gauge-invariant gauge field in two-color QCD

TL;DR

This paper investigates the topological features of two-color QCD using a nonlinear integral equation related to Gauss's law, exploring their connection to QCD dynamics and the issue of Gribov copies.

Contribution

It introduces a nonlinear integral equation framework to analyze gauge-invariant gauge fields and their topological properties in two-color QCD, highlighting parallels with Gribov copies.

Findings

Topological features linked to gauge-invariant fields are characterized.

Non-uniqueness of solutions relates to Gribov copies.

Insights into the dynamics of two-color QCD are provided.

Abstract

A nonlinear integral equation that is responsible for the implementation of the non-Abelian Gauss's law is applied to an investigation of the topological features of two-color QCD and to a discussion of their relation to QCD dynamics. We also draw a parallel between the nonuniqueness of the solutions of the equations that govern the gauge-invariant gauge field and Gribov copies.