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Landscape of QCD Vacuum

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

fields

hep-th 1

years

2024 1

verdicts

REJECT 1

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  • Condensation of Magnetic Fluxes and Landscape of QCD Vacuum hep-th · 2024-11-23 · reject · none · ref 15 · internal anchor

    The author exhibits sourceless Yang-Mills configurations with constant energy density and singular gauge potentials, and claims they are degenerate vacua separated by potential barriers.