Stable spherically symmetric monopole field background in a pure QCD

TL;DR

This paper demonstrates the existence of a stable, finite-energy monopole-like vacuum field in pure QCD, providing insights into the microscopic structure of the QCD vacuum and resolving a longstanding stability issue.

Contribution

It introduces a stable, spherically symmetric monopole solution in pure QCD that acts as a stable vacuum background against quantum fluctuations.

Findings

The monopole solution has finite energy density.

The solution is stable against quantum gluon fluctuations.

It establishes a stable vacuum background in QCD.

Abstract

We consider a stationary spherically symmetric monopole like solution with a finite energy density in a pure quantum chromodynamics (QCD). The solution can be treated as a static Wu-Yang monopole dressed in time dependent field corresponding to off-diagonal gluons. We have proved that such a stationary monopole field represents a background vacuum field of the QCD effective action which is stable against quantum gluon fluctuations. This resolves a long-standing problem of existence of a stable vacuum field in QCD and opens a new avenue towards microscopic theory of the vacuum.