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arXiv 2106.16191cond-mat.stat-mechhep-lat
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$(2+1)$ -d $O(2)$标量场理论中量子涡旋的质量和电荷

Mass and Charge of the Quantum Vortex in the $(2+1)$-d $O(2)$ Scalar Field Theory

M. Hornung, Joao C. Pinto Barros, U. -J. Wiese

摘要:

利用数值模拟方法,研究了$(2+1)$ -d $O(2)$ -对称标量场理论在Wilson-Fisher不动点附近的破裂相中的涡旋.涡旋是一种被戈德斯通玻色子云包围的亚粒子。有限$C$周期体积$L^2$中涡旋质量的$L$依赖性导致了重整化涡旋电荷的确定。

英文摘要:

Using numerical simulations, a vortex is studied in the broken phase of the $(2+1)$-d $O(2)$-symmetric scalar field theory in the vicinity of the Wilson-Fisher fixed point. The vortex is an infraparticle that is surrounded by a cloud of Goldstone bosons. The $L$-dependence of the vortex mass in a finite $C$-periodic volume $L^2$ leads to the determination of the renormalized vortex charge.

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