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arXiv · 2212.06016

Quantum Statistical Mechanics of Dissolving Vortices

N. S. Manton·Shiyi Wang
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Abstract

The quantum partition function for dissolving Abelian Higgs vortices is calculated explicitly, using spectral data for the Beltrami Laplacian on the $N$-vortex moduli space $\mathbb{CP}^N$ with a scaled Fubini--Study metric. From the partition function, the pressure of the vortex gas is derived. There are three asymptotic regimes -- High, Intermediate and Low Temperature. The phase crossover from Intermediate to Low Temperature is modelled by a Bessel function. In the Low Temperature regime the free energy is not extensive but is proportional to $N^2$.

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N. S. Manton, Shiyi Wang. 2022-12-12. Quantum Statistical Mechanics of Dissolving Vortices. https://doi.org/10.1088/1751-8121/accc18

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