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arXiv 2102.11091hep-lathep-phnucl-th
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$Z_2+$Higgs理论中的禁闭-退禁闭相变与$Z_2$对称性

Confinement-Deconfinement transition and $Z_2$ symmetry in $Z_2+$Higgs theory

Minati Biswal, Sanatan Digal, Vinod Mamale, Sabiar Shaikh

AI总结:

本研究通过蒙特卡洛模拟探究4维格点$Z_2+$Higgs理论的Polyakov loop与$Z_2$对称性,构建一维近似模型精确计算配分函数,揭示了大时间格点极限下自由能$Z_2$对称性的成因。

摘要:

我们采用蒙特卡洛模拟,研究了4维欧几里得空间中格点$Z_2+$Higgs理论里的Polyakov loop(波利雅科夫圈)与$Z_2$对称性。结果表明,当时间格点数目较大时,该对称性在Higgs对称相中得以实现。为理解其对时间格点数量的依赖关系,我们保留原作用量中对应单个空间格点的项,构建了一个一维模型。在该近似下,配分函数可作为Polyakov loop的函数被精确计算。我们发现,在时间格点数目趋于无穷大的极限下,所得自由能具有$Z_2$对称性。我们认为这一现象源于$Z_2$不变性,以及与该作用量对应的态分布(即态密度)的主导作用。

英文摘要:

We study the Polyakov loop and the $Z_2$ symmetry in the lattice $Z_2+$Higgs theory in 4D Euclidean space using Monte Carlo simulations. The results show that this symmetry is realised in the Higgs symmetric phase for large number of temporal lattice sites. To understand the dependence on the number of temporal sites, we consider a one dimensional model by keeping terms of the original action corresponding to a single spatial site. In this approximation the partition function can be calculated exactly as a function of the Polyakov loop. The resulting free energy is found to have the $Z_2$ symmetry in the limit of large temporal sites. We argue that this is due to $Z_2$ invariance as well as dominance of the distribution or density of states corresponding to the action.

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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