Landscape of QCD Vacuum
Abstract
We found new solutions of the sourceless Yang-Mills equation describing the superposition of chromomagnetic vortices of oppositely oriented magnetic fluxes. These gauge field configurations have constant energy densities and are separated by potential barriers forming a complicated landscape. It is suggested that the solutions describe the condensate of chromomagnetic vortices and represent a dual analog of the Cooper pairs condensate in a superconductor. In the presence of an Abelian field and in a particular limit the solutions reduce to the flat connections of zero energy density and are forming a complicated potential landscape of the QCD vacuum. A possible tunnelling transition between these superfluxon flat configurations and the flat configurations with non-vanishing Chern-Pontryagin index will wash out the CP violating angle to zero, dynamically restoring CP symmetry.
Cite
@article{arxiv.2407.00318,
title = {Landscape of QCD Vacuum},
author = {George Savvidy},
journal= {arXiv preprint arXiv:2407.00318},
year = {2025}
}
Comments
21 pages, 4 figures, published in Phys.Lett.B, typos are corrected in the formulas (4.41) and (4.42)