arXiv 0711.06962007-11hep-lathep-ph

t Hooft顶点、部分淬火和有根交错QCD

't Hooft vertices, partial quenching, and rooted staggered QCD

Claude Bernard, Maarten Golterman, Yigal Shamir, Stephen Sharpe

备注：: 19 pages, revtex, shortened version to appear in Phys. Rev. D
发表信息：: Phys.Rev.D77:114504,2008
DOI：: 10.1103/PhysRevD.77.114504

摘要：

我们讨论了连续统中部分猝灭和有根QCD中的“t Hooft”顶点的性质。这些理论有一个物理子空间，相当于普通的QCD，包含在一个更大的空间，包括许多非物理的关联函数。我们发现，在物理子空间中的“t Hooft顶点具有预期的形式，尽管存在非物理的”t Hooft顶点出现在关联函数中，具有过量的价夸克（或鬼夸克）。我们解决了一个明显的悖论，出现时，使用根交错费米子研究单味QCD，通过显示，在部分淬火理论，它是如何可能有自发对称性破缺的非异常对称在有限体积。利用这些结果，我们证明了Creutz最近提出的反驳有根交错QCD有效性的论点是不正确的。特别是，非物理的“特胡夫特”顶点并不妨碍在连续极限中恢复味觉对称性。

英文摘要：

We discuss the properties of 't Hooft vertices in partially quenched and rooted versions of QCD in the continuum. These theories have a physical subspace, equivalent to ordinary QCD, that is contained within a larger space that includes many unphysical correlation functions. We find that the 't Hooft vertices in the physical subspace have the expected form, despite the presence of unphysical 't Hooft vertices appearing in correlation functions that have an excess of valence quarks (or ghost quarks). We resolve an apparent paradox that arises when one uses rooted staggered fermions to study one-flavor QCD, by showing how, in partially quenched theories, it is possible to have spontaneous symmetry breaking of a non-anomalous symmetry in finite volume. Using these results, we demonstrate that arguments recently given by Creutz--claiming to disprove the validity of rooted staggered QCD--are incorrect. In particular, the unphysical 't Hooft vertices do not present an obstacle to the recovery of taste symmetry in the continuum limit.

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