Invariants of magnetic lines for Yang-Mills solutions
Algebraic Topology
2024-01-24 v2
Abstract
We construct a new Yang-Mills 3D-solution on the space of negative scalar curvarure. We discuss a problem of non-abelian gauge symmetry is broken with the assumption that a scalar curvature of the domain is a negative small parameter. In this case we use the following fact: a geometrical scale related with Vassiliev's discriminant of magnetic lines coincids with a physical Kolmogorov scale. This gives an estimation of -effect by the dispersion of the asymptotic ergodic Hopf invariant in the limite with a negative scalar curvature parameter.
Keywords
Cite
@article{arxiv.2312.06301,
title = {Invariants of magnetic lines for Yang-Mills solutions},
author = {Petr Akhmet'ev and Maxim Dvornikov},
journal= {arXiv preprint arXiv:2312.06301},
year = {2024}
}