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Landscape of QCD Vacuum

High Energy Physics - Theory 2025-04-14 v6 High Energy Physics - Lattice High Energy Physics - Phenomenology

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 θ\theta angle to zero, dynamically restoring CP symmetry.

Keywords

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)

R2 v1 2026-06-28T17:23:26.941Z