Quantum stability of non-linear wave type solutions with intrinsic mass parameter in QCD

TL;DR

This paper investigates the stability of non-linear wave solutions with intrinsic mass in QCD, demonstrating that certain monopole solutions can form a stable vacuum background against quantum fluctuations.

Contribution

It introduces a class of stable non-linear wave solutions in QCD with intrinsic mass, providing a new perspective on vacuum stability.

Findings

Stable monopole solutions exist in QCD.

These solutions are resistant to quantum gluon fluctuations.

They can serve as a stable vacuum background.

Abstract

The problem of existence of a stable vacuum field in a pure quantum chromodynamics (QCD) is revised. Our approach is based on using classical stationary non-linear wave type solutions with intrinsic mass scale parameter. Such solutions can be treated as quantum mechanical wave functions describing massive spinless states in quantum theory. We verify whether non-linear wave type solutions can form a stable vacuum field background within the framework of effective action formalism. We demonstrate that there is a special class of stationary generalized Wu-Yang monopole solutions which are stable against quantum gluon fluctuations.