QCD中约束的SU(2NF)对称性及其高温观测。

L. Glozman
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引用次数: 3

摘要

在这次演讲中,我们首先概述了晶格结果,这些结果导致了在零温度和高温下对Dirac算子的近零模进行人工截断后观察到新的SU(2)_{CS}和SU(2N_F)对称性。这些对称性比QCD拉格朗日的手性对称性更大,并且包含手性对称性SU(N_F)_L \乘以SU(N_F)_R和U(1)_A作为子群。除了标准的手性变换之外,SU(2)_{CS}和SU(2N_F)变换混合了夸克场的左、右分量。色电相互作用是一种封闭性对称性,而色磁相互作用则明显破坏了这种对称性。在T=0处狄拉克算子的近零模截断时,这些对称性的出现意味着色磁相互作用的所有效应都只位于近零模中,而限制性色电相互作用分布在所有模中。在高温度下,温度抑制了近零模式,这些对称性的出现具有根本性的意义,因为这些对称性与温度升高时的渐近自由定义夸克不相容。QCD高温相中的基本物体应该是受纯色电场束缚的夸克,而不伴有色磁效应。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
SU(2NF) symmetry of confinement in QCD and its observation at high temperature.
In this talk we first overview lattice results that have led to the observation of new SU(2)_{CS} and SU(2N_F) symmetries upon artificial truncation of the near-zero modes of the Dirac operator at zero temperature and at high temperature without any truncation. These symmetries are larger than the chiral symmetry of the QCD Lagrangian and contain chiral symmetries SU(N_F)_L \times SU(N_F)_R and U(1)_A as subgroups. In addition to the standard chiral transformations the SU(2)_{CS} and SU(2N_F) transformations mix the right- and left-handed components of the quark fields. It is a symmetry of the confining chromo-electric interaction while the chromo-magnetic interaction manifestly breaks it. Emergence of these symmetries upon truncation of the near-zero modes of the Dirac operator at T=0 means that all effects of the chromo-magnetic interaction are located exclusively in the near-zero modes, while confining chromo-electric interaction is distributed among all modes. Appearance of these symmetries at high T, where the temperature suppresses the near-zero modes, has radical implications because these symmetries are incompatible with the asymptotically free deconfined quarks at increasing temperature. The elementary objects in the high-temperature phase of QCD should be quarks bound by the pure chromo-electric field that is not accompanied by the chromo-magnetic effects.
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