Condensation of Magnetic Fluxes and Landscape of QCD Vacuum

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.

Comments: 10 pages. arXiv admin note: substantial text overlap with arXiv:2407.00318