Superfluid properties of BPS monopoles

TL;DR

This paper demonstrates superfluid properties and the presence of topological defects in the Minkowskian Higgs model with BPS monopoles, showing compatibility with Faddeev-Popov quantization in a specific gauge.

Contribution

It reveals superfluid behavior and topological defects in the Minkowskian Higgs model with BPS monopoles, linking these phenomena to the Faddeev-Popov quantization approach.

Findings

Superfluid properties are demonstrated in the model.

Point hedgehog topological defects are present.

Compatibility with Faddeev-Popov quantization is shown.

Abstract

This paper is devoted to demonstrating manifest superfluid properties of the Minkowskian Higgs model with vacuum BPS monopole solutions at assuming the "continuous" $\sim S^2$ vacuum geometry in that model. It will be also argued that point hedgehog topological defects are present in the Minkowskian Higgs model with BPS monopoles. It turns out, and we show this, that the enumerated phenomena are compatible with the Faddeev-Popov "heuristic" quantization of the Minkowskian Higgs model with vacuum BPS monopoles, coming to fixing the Weyl (temporal) gauge $A_0=0$ for gauge fields $A$ in the Faddeev-Popov path integral.