三维$O(2)$标量理论中的涡旋质量
Vortex mass in the three-dimensional $O(2)$ scalar theory
摘要：
我们研究了自发破裂相的$XY$模型在三维，边界条件强制涡线的存在。比较Monte Carlo和场论确定的磁化强度和能量密度分布，我们数值确定的基本$O(2)$不变的量子场论的涡旋粒子的质量。结果表明，特别是，德里克定理的障碍所构成的存在稳定的拓扑粒子的标量理论在两个以上的维一般不坚持超过经典水平。
英文摘要：
We study the spontaneously broken phase of the $XY$ model in three dimensions, with boundary conditions enforcing the presence of a vortex line. Comparing Monte Carlo and field theoretic determinations of the magnetization and energy density profiles, we numerically determine the mass of the vortex particle in the underlying $O(2)$-invariant quantum field theory. The result shows, in particular, that the obstruction posed by Derrick's theorem to the existence of stable topological particles in scalar theories in more than two dimensions does not in general persist beyond the classical level.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
