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High Energy Physics - Theory

arXiv:2204.01389 (hep-th)
[Submitted on 4 Apr 2022 (v1), last revised 29 Jun 2022 (this version, v2)]

Title:Quantum Statistical Mechanics of Vortices

Authors:N.S. Manton
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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.
Comments: 10 pages, this revised version accepted for publication in J. Phys. A
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)
Cite as: arXiv:2204.01389 [hep-th]
  (or arXiv:2204.01389v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2204.01389
Related DOI: https://doi.org/10.1088/1751-8121/ac7c4a

Submission history

From: Nicholas Stephen Manton [view email]
[v1] Mon, 4 Apr 2022 11:15:06 UTC (9 KB)
[v2] Wed, 29 Jun 2022 12:24:48 UTC (9 KB)
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