Quantum statistical mechanics of vortices

Author:

Manton N SORCID

Abstract

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.

Publisher

IOP Publishing

Subject

General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics

Reference15 articles.

1. Statistical mechanics of vortices;Manton;Nucl. Phys. B,1993

2. Vortices in holomorphic line bundles over closed Kähler manifolds;Bradlow;Commun. Math. Phys.,1990

3. A remark on the scattering of BPS monopoles;Manton;Phys. Lett. B,1982

4. Vortex scattering;Samols;Commun. Math. Phys.,1992

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Geometry of the Space of Vortices on a Two-Sphere in the Bradlow Limit;Communications in Mathematical Physics;2023-09-16

2. Quantum statistical mechanics of dissolving Abelian Higgs vortices;Journal of Physics A: Mathematical and Theoretical;2023-04-27

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