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arXiv 1701.03368hep-lat
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晶格正则化中的手征分离效应

Chiral Separation Effect in lattice regularization

Z. V. Khaidukov, M. A. Zubkov

备注：
Latex, 13 pages, misprints corrected
发表信息：
Phys. Rev. D 95, 074502 (2017)
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摘要：

在格点正则化量子场论中考虑手征分离效应。我们讨论两种类型的正则化-有和没有确切的手征对称性。在后一种情况下，这种效应可以用无质量费米子的常规表达式来描述。威尔逊费米子和传统重叠费米子这两个特例说明了这一点。同时，在存在精确的手征对称性的情况下，CSE消失。当费米子倍增器的贡献相互抵消时，朴素晶格费米子就说明了这一点。另一个例子是最近提出的重叠正则化的修改版本，其中存在精确的手征对称性，但作为代价，费米子倍增器成为格林函数的零。在这种情况下，格林函数的零点和极点对CSE的贡献相互抵消。

英文摘要：

We consider Chiral Separation Effect (CSE) in the lattice regularized quantum field theory. We discuss two types of regularization - with and without exact chiral symmetry. In the latter case this effect is described by its conventional expression for the massless fermions. This is illustrated by the two particular cases - of Wilson fermions and of the conventional overlap fermions. At the same time in the presence of the exact chiral symmetry the CSE disappears. This is illustrated by the naive lattice fermions, when the contributions of the fermion doublers cancel each other. Another example is the modified version of the overlap regularization proposed recently, where there is the exact chiral symmetry, but as a price for this the fermion doublers become zeros of the Green function. In this case the contribution to the CSE of zeros and poles of the Green function cancel each other.

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