Title: Localization of Dirac modes in a finite temperature SU(2) Higgs model Show Chinese title

Title: 有限温度 SU(2) 希格斯模型中狄拉克模的局域化

Abstract: Low-lying Dirac modes become localized at the finite-temperature transition in QCD and other gauge theories, indicating a strong connection between localization and deconfinement. This phenomenon can be understood through the "sea/islands" picture: in the deconfined phase, modes become trapped on "islands" of Polyakov loop fluctuations within a "sea" of ordered Polyakov loops. To test the universality of the "sea/islands" mechanism, we investigate whether changes in the localization properties of low modes occur across other thermal transitions where the Polyakov loop becomes ordered, beyond the usual deconfinement transition. The fixed-length SU(2)-Higgs model is appropriate for this study. After mapping out the phase diagram, we find that low Dirac modes become localized in the deconfined and Higgs phases, where the Polyakov loop is ordered. However, localization is absent in the confined phase. These findings confirm the "sea/islands" picture of localization. Show Chinese abstract

Abstract: 低能态的狄拉克模在QCD和其他规范理论的有限温度相变中变得局域化，表明局域化与禁闭解除之间存在强关联。 这一现象可以通过“海洋/岛屿”图景来理解：在禁闭解除相中，模被限制在有序的普莱洛夫环波动“海洋”中的“岛屿”上。 为了检验“海洋/岛屿”机制的普遍性，我们研究了在通常的禁闭解除相变之外，其他使普莱洛夫环有序的热相变中，低能模的局域性质是否发生变化。 固定长度的SU(2)-希格斯模型适合这项研究。 在绘制出相图后，我们发现低能狄拉克模在禁闭解除相和希格斯相中变得局域化，此时普莱洛夫环是有序的。 然而，在禁闭相中没有出现局域化。 这些发现证实了局域化的“海洋/岛屿”图景。