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arXiv 2402.06374hep-latcond-mat.stat-mech
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带多电荷标量场的三维紧致格点阿贝尔希格斯模型中的退禁闭相变

Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields

Claudio Bonati, Andrea Pelissetto, Ettore Vicari

AI总结:

本研究探讨带多电荷标量场的三维紧致格点阿贝尔希格斯模型的退禁闭相变,论证其与三维$\mathbb{Z}_Q$规范模型相变属同一普适类,并通过能量累积量的有限尺寸标度分析验证结论。

摘要:

我们研究了三维格点Abelian Higgs模型中退禁闭相变的性质,该模型中电荷为整数$Q\boldsymbol{\rm{\backslash ge}}2$的复标量场与紧致$U(1)$规范场最小耦合。其相图呈现两个相,由一条相变线分隔,满足$q<Q$的静电荷$q$会发生退禁闭。我们认为这些退禁闭相变与通用三维${\rm{\backslash mathbb Z}}_Q$规范模型中的相变属于同一普适类。具体而言,$Q=2$时为类伊辛(Ising)相变,$Q=3$时为一级相变,$Q\boldsymbol{\rm{\backslash ge}}4$时属于三维规范$XY$普适类。针对$Q=2$、$Q=4$和$Q=6$的能量累积量进行的数值有限尺寸标度分析支持了这一整体结论。

英文摘要:

We investigate the nature of the deconfinement transitions in three-dimensional lattice Abelian Higgs models, in which a complex scalar field of integer charge $Q\ge 2$ is minimally coupled with a compact $U(1)$ gauge field. Their phase diagram presents two phases separated by a transition line where static charges $q$, with $q<Q$, deconfine. We argue that these deconfinement transitions belong to the same universality class as transitions in generic three-dimensional ${\mathbb Z}_Q$ gauge models. In particular, they are Ising-like for $Q=2$, of first order for $Q=3$, and belong to the three-dimensional gauge $XY$ universality class for $Q\ge 4$. This general scenario is supported by numerical finite-size scaling analyses of the energy cumulants for $Q=2$, $Q=4$, and $Q=6$.

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。

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