Condensation of Magnetic Fluxes and Landscape of QCD Vacuum

TL;DR

This paper introduces new non-perturbative solutions in Yang-Mills theory depicting a complex landscape of chromomagnetic vortex configurations, which may be analogous to superconducting condensates and shed light on the QCD vacuum structure.

Contribution

It presents novel classical solutions representing a lattice of chromomagnetic vortices, revealing a rich potential landscape of the QCD vacuum.

Findings

Solutions form a degenerate vacuum landscape

Vortices resemble a dual superconductor condensate

Potential barriers separate different vacua

Abstract

I discuss new non-perturbative solutions of the sourceless Yang-Mills equation representing the superposition of oppositely oriented chromomagnetic flux tubes (vortices) similar in their form to a lattice of superposed Abrikosov-Nielsen-Olesen chromomagnetic vortices. These solutions represent highly degenerate classical vacua of the Yang Mills theory that are separated by potential barriers and are forming a complicated potential landscape of the QCD vacuum. It is suggested that the solutions describe a lattice of dense chromomagnetic vortices representing a dual analog of the Cooper pairs condensate in a superconductor.