论文标题

奇数尺寸中域壁费米的异常流入

The Anomaly Inflow of the domain-wall fermion in odd dimension

论文作者

Fukaya, Hidenori, Kawai, Naoki, Matsuki, Yoshiyuki, Mori, Makito, Onogi, Tetsuya, Yamaguchi, Satoshi

论文摘要

1985年,卡兰(Callan)和哈维(Harvey)表现出量规异常的视图,将缺失的电流视为额外的维度,并且包括批量的Chern-Simons电流在内的总贡献得到了保存。但是,在计算中,对边缘和批量贡献进行了分别评估,并且它们应在边界上相关的​​互相关被简单地忽略。在许多方法中都解决了这个问题。在这项工作中,我们用一组自由域壁壁挂式汉密尔顿的本征态重新审视了这个问题,并进行了系统的评估,易于进行更高的质量校正并扩展到更高的维度。

In 1985, Callan and Harvey showed a view of gauge anomaly as a missing current into an extra-dimension, and the total contribution, including the Chern-Simons current in the bulk, is conserved. However in their computation, the edge and bulk contributions are separately evaluated and their cross correlations, which should be relevant at boundary, are simply ignored. This issue has been solved in many approaches. In this work, we revisit this issue with a complete set of eigenstates of free domain-wall Hamiltonian and give the systematic evaluation, easy to take in the higher mass correction and extend to the higher dimension.

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