Bosonization and Duality Aspects in Superfluids and Superconductors
N.C. Ribeiro, R.F. Sobreiro, S.P. Sorella
TL;DR
This paper explores bosonization and duality in three-dimensional superfluids and superconductors, revealing vortex energy bounds and finite energy vortex solutions through effective gauge theories.
Contribution
It applies bosonization and duality rules to analyze vortex features and energy bounds in superfluids and superconductors, providing new insights into their topological properties.
Findings
Vortex energy in superfluids resembles a Bogomol'nyi bound.
Finite energy vortex solutions exist in superconductors.
Partition function reformulated as an effective gauge theory.
Abstract
The bosonization and duality rules in three-dimensions are applied to analyze some features of superfluids and superconductors. The energy of an ensemble of vortices in a superfluid is recovered by means of a kind of bound which, to some extent, shares similarity with the Bogomol'nyi bound. In the case of superconductors, after recasting the partition function in the form of a pure effective gauge theory, the existence of finite energy vortex solutions is discussed
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