Singular defects with fractional topological charge\\ in $σ$ models and gauge theories

Details Singular defects with fractional topological charge\\ in $σ$ models and gauge theories Singular defects with fractional topological charge\\ in $σ$ models and gauge theories

1993-11-30

arxiv.org/abs/hep-ph/9311377v1

Nucl.Phys.Proc.Suppl. 34 (1994) 207-209

Physics

High Energy Physics

High Energy Physics - Phenomenology

Contribution to the Proceedings of Lattice-93, Dallas, 12-16 October, 1993

Scientific paper

10.1016/0920-5632(94)90346-8

A novel class of self-dual solutions in $\sigma$ models and gauge theories is considered. The contribution of the corresponding fluctuations to the chiral condensate is calculated. We discuss the few tightly connected problems, such as the $U(1)$ problem, the $\theta$ dependence and the chiral symmetry breaking within a framework of this approach. Arguments in favour of significance of the configurations with fractional topological charge are given.

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