Lorentz symmetry violation in the fermion number anomaly with the chiral overlap operator
Lorentz symmetry violation in the fermion number anomaly with the chiral overlap operator
复制标题
手性重叠算子在费米子数异常中洛伦兹对称性破坏
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Okuto Morikawa
中科院分区：
文献类型：
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作者：
Hiroki Makino;Okuto Morikawa
最近，Grabowska和Kaplan在手征重叠算符的基础上提出了手征规范理论的四维格点形式。在此公式中，我们计算了费米子数反常的经典连续极限。出乎意料的是，我们发现，连续极限包含一项，这是不是洛伦兹不变。然而，该项与规范反常系数成正比，因此当且仅当反常抵消条件满足时，该晶格公式中的费米子数反常自动恢复洛伦兹不变形式。
Recently, Grabowska and Kaplan proposed a four-dimensional lattice formulation of chiral gauge theories on the basis of a chiral overlap operator. We compute the classical continuum limit of the fermion number anomaly in this formulation. Unexpectedly, we find that the continuum limit contains a term which is not Lorentz invariant. The term is, however, proportional to the gauge anomaly coefficient, and thus the fermion number anomaly in this lattice formulation automatically restores the Lorentz-invariant form when and only when the anomaly cancellation condition is met.
Ginsparg-Wilson 方程的手性解
影响因子：
5
作者：
Grabowska, Dorota M.;Kaplan, David B.
通讯作者：
Kaplan, David B.