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arXiv 1502.07706hep-lathep-ph
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库仑规范QCD中的重叠夸克算符及禁闭与手征对称性破缺的关系

Overlap Quark Propagator in Coulomb Gauge QCD and the Interrelation of Confinement and Chiral Symmetry Breaking

M. Pak, M. Schröck

备注：
12 pages, 18 figures. Small changes, added some references, version accepted at PRD
发表信息：
Phys. Rev. D 91 (2015) 074515
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摘要：

首次在库仑规范中研究了手征对称重叠夸克传播子。这种规范特别适合于研究禁闭和手征对称性破缺之间的相互关系，因为禁闭可以归因于逆夸克传播子的矢量敷料函数的红外发散。利用$20^4$格点上的猝灭规范场组态，在手征极限下，计算了夸克传播子的缀饰函数和动力学夸克质量函数。通过去除夸克传播子中的低阶模贡献，人工恢复了手征对称性。在去除足够多的低阶模后，夸克的动力学质量函数在整个动量区接近当前夸克质量，在手征极限下趋于零。然而，矢量修整功能不受低模式去除的影响。由此可见，夸克的能量色散仍然是红外发散的，处于这种手征对称性恢复相的夸克仍然被限制在强子中。

英文摘要：

The chirally symmetric overlap quark propagator is explored in Coulomb gauge for the first time. This gauge is especially well suited for studying the interrelation between confinement and chiral symmetry breaking, since confinement can be attributed to the infrared divergence of the vector dressing function of the inverse quark propagator. Using quenched gauge field configurations on a $20^4$ lattice, the dressing functions of the quark propagator as well as the dynamical quark mass function are evaluated, also in the chiral limit. Chiral symmetry is artificially restored by removing the low mode contribution from the quark propagator. After removing enough low-lying modes, the dynamical quark mass function approaches the current quark mass in the whole momentum region and goes to zero in the chiral limit. However, the vector dressing function is unaffected by the low-mode removal. It follows that the quark energy dispersion is still infrared divergent and quarks in such a chiral symmetry restored phase are still confined within a hadron.

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