标题： 高温QCD中的局域化和拓扑结构 显示英文标题

标题： Localization and topology in high temperature QCD

摘要： 在高温下，夸克狄拉克算子谱的一部分已知由局域态组成。 这是因为在穿越到夸克-胶子等离子体的温度附近，局域态开始出现在谱的低端，随着系统进一步加热，谱中更高处的态也会被局域化。 由于局域化和手征对称恢复相变发生在相近的温度，自然会提出这两个现象之间如何联系的问题。 在这里，我们推测可能支持局域夸克本征态的规范构型的性质。 特别是，通过分析阶梯式和重叠狄拉克算子的本征态，我们表明高温相中的卡洛尔气体极不可能在局域化中起主要作用。 显示英文摘要

摘要： At high temperature part of the spectrum of the quark Dirac operator is known to consist of localized states. This comes about because around the crossover temperature to the quark-gluon plasma localized states start to appear at the low end of the spectrum and as the system is further heated, states higher up in the spectrum also get localized. Since localization and the crossover to the chirally restored phase happen around the same temperature, the question of how the two phenomena are connected naturally arises. Here we speculate on the nature of possible gauge configurations that could support localized quark eigenmodes. In particular, by analyzing eigenmodes of the staggerd and overlap Dirac operator we show that the dilute gas of calorons in the high temperature phase is very unlikely to play a major role in localization.