Axially-symmetric stationary solutions in a pure SU(3) QCD

TL;DR

This paper introduces a class of regular axially-symmetric solutions in SU(3) QCD, which behave like monopole-antimonopole pairs, are Weyl symmetric, and are quantum stable under gluon fluctuations.

Contribution

It presents a novel ansatz for regular solutions in SU(3) QCD with explicit Weyl symmetry and analyzes their stability and reduced effective model.

Findings

Solutions resemble monopole-antimonopole pairs

QCD Lagrangian reduces to a generalized phi^4 model

Solutions are quantum stable under gluon fluctuations

Abstract

We propose an ansatz for a class of regular axially-symmetric solutions in SU(3) QCD. After averaging over time period the solution can be treated as a non-topological monopole-antimonopole pair. We demonstrate that QCD Lagrangian on the space of such solutions is explicitly Weyl symmetric and reduces to a generalized phi^4 model with four independent fields. All solutions possess quantum stability under vacuum gluon fluctuations.