论文标题
涡流的量子统计力学
Quantum Statistical Mechanics of Vortices
论文作者
论文摘要
在高温$ t $下量化的Abelian Higgs涡流的渐近分区函数被发现导致和转向级别的顺序，并且从该方程式得出了涡流气体的等式，包括第一个量子校正。假定哈密顿量与静态$ n $涡流解决方案的Moduli空间上的Laplace-Beltrami操作员成正比。使用模量空间的总体积和总标态曲率计算分区函数。
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.
