Quantum statistical mechanics of vortices

Abstract The asymptotic partition function for quantized abelian Higgs vortices at high temperature T is found to leading and subleading order, and from this the equation of state of the vortex gas is derived, including the first quantum correction. It is assumed that the Hamiltonian is proportional...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 55; no. 32; pp. 325001 - 325008
Main Author Manton, N S
Format Journal Article
LanguageEnglish
Published IOP Publishing 12.08.2022
Subjects
abelian Higgs vortices
moduli space
quantum statistical mechanics
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Summary:Abstract The asymptotic partition function for quantized abelian Higgs vortices at high temperature T is found to leading and subleading order, and from this the equation of state of the vortex gas is derived, including the first quantum correction. It is assumed that the Hamiltonian is proportional to the Laplace–Beltrami operator on the moduli space of static N -vortex solutions. The partition function is calculated using the total volume and total scalar curvature of the moduli space.
Bibliography:JPhysA-117468.R1
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ac7c4a