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arXiv 1012.0987hep-lat
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具有混合action的格点量子色动力学的味对称破缺

Flavor symmetry breaking in lattice QCD with a mixed action

Oliver Bar, Maarten Golterman, Yigal Shamir

摘要:

本文从手征拉格朗日量出发,研究了含有两个Wilson海夸克和任意数目手征价夸克(和鬼)的混合作用QCD的相结构。先验地,有效理论允许一个丰富的相结构,包括一个由海夸克和价夸克组成的凝聚相。在这样一个阶段,质量本征态将成为海场和价场的混合物,纯海关联函数将取决于价扇区的参数,这与混合作用模拟的实际设置相矛盾。利用手征Dirac算符的谱对于非零夸克质量有一个能隙,我们证明了味对称性的自发对称性破缺只能发生在海扇区内.这就排除了混合凝聚的可能性,并意味着对有效理论的低能常数的限制。

英文摘要:

We study the phase structure of mixed-action QCD with two Wilson sea quarks and any number of chiral valence quarks (and ghosts), starting from the chiral lagrangian. A priori, the effective theory allows for a rich phase structure, including a phase with a condensate made of sea and valence quarks. In such a phase, mass eigenstates would become admixtures of sea and valence fields, and pure-sea correlation functions would depend on the parameters of the valence sector, in contradiction with the actual setup of mixed-action simulations. Using that the spectrum of the chiral Dirac operator has a gap for nonzero quark mass we prove that spontaneous symmetry breaking of the flavor symmetries can only occur within the sea sector. This rules out a mixed condensate, and implies restrictions on the low-energy constants of the effective theory.

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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