Superfluid properties of BPS monopoles

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.

The article is significantly expanded. The mathematical theory of magnetic charge $\mathbf{m}$ is given and the Bpgomolny'i bound is derived

References in corpus (7)

• Monopole Vacuum in Non-Abelian Theories
• Dirac fundamental quantization of gauge theories is natural way of reference frames in modern physics
• Minkowskian Yang-Mills vacuum
• Dirac variables in gauge theories
• The Higgs field as the Cheshire cat and his Yang-Mills "smiles"
• Topological gauge invariant variables in QCD
• Topological invariant variables in QCD

Cited by in corpus (4)

• "Discrete" vacuum geometry as a tool for Dirac fundamental quantization of Minkowskian Higgs model
• Nontrivial topological dynamics in Minkowskian Higgs model quantized by Dirac
• BPS ansatzes as electric form-factors
• Whether the vacuum manifold in the Minkowskian non-Abelian model quantized by Dirac can be described with the aid of the superselection rules?