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arXiv 1410.7992hep-lat
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真空对准和晶格伪影

Vacuum alignment and lattice artifacts

Maarten Golterman, Yigal Shamir

摘要:

当一个规范理论的味对称群的一个子群弱耦合到另外的规范场时,真空趋向于排列,使得规范子群是不破缺的。同时,晶格离散化通常明确地破坏味道对称性,并且可以产生具有自发破坏对称性的新的晶格伪影相位。我们讨论了这两种现象的相互作用,使用手征拉格朗日技术。我们的第一个例子是耦合到电磁场的双味Wilson QCD。我们还考虑了交错费米子理论的例子,并证明了最近在文献中使用交错费米子的基础上的索赔是不正确的。

英文摘要:

When a subgroup of the flavor symmetry group of a gauge theory is weakly coupled to additional gauge fields, the vacuum tends to align such that the gauged subgroup is unbroken. At the same time, the lattice discretization typically breaks the flavor symmetry explicitly, and can give rise to new lattice-artifact phases with spontaneously broken symmetries. We discuss the interplay of these two phenomena, using chiral lagrangian techniques. Our first example is two-flavor Wilson QCD coupled to electromagnetism. We also consider examples of theories with staggered fermions, and demonstrate that recent claims in the literature based on the use of staggered fermions are incorrect.

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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