Microscopic vacuum structure in a pure QCD

TL;DR

This paper introduces stable, stationary color magnetic solutions in pure QCD that describe a non-trivial vacuum structure, highlighting Weyl invariance and Abelian dominance, with applications to effective glueball Lagrangians.

Contribution

It proposes a new class of stable vacuum solutions in pure QCD, addressing the microscopic description of the non-trivial vacuum and demonstrating Weyl invariance and Abelian dominance.

Findings

Stable color magnetic solutions in pure QCD.

Resolution of the microscopic vacuum structure problem.

Application to effective Abelian glueball Lagrangian.

Abstract

We propose a class of stationary color magnetic solutions in a pure quantum chromodynamics (QCD) which are stable under gluon quantum fluctuations. This resolves a long-standing problem of microscopic description of a stable non-trivial vacuum in a pure QCD. The solutions represent fixed points in a full space of gauge fields under Weyl group transformations. An important feature of the solutions is the phenomenon of Weyl invariant Abelian projection and Abelian dominance in the vacuum structure. As an application of our approach we consider an effective Lagrangian of pure Abelian glueballs in the presence of vacuum gluon condensate.