The axial anomaly of Ginsparg-Wilson fermion

The axial anomaly of Ginsparg-Wilson fermion
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Ginsparg-Wilson 费米子的轴向异常

DOI:
10.1016/s0370-2693(98)01511-1
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发表时间:
1998
期刊:
影响因子:
4.4
通讯作者:
T. Chiu
T. Chiu
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
T. Chiu

文献摘要

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本文对Ginsparg-Wilson关系中R进入手征对称破缺部分时,Ginsparg-Wilson费米子算符D的轴反常作了一般性的讨论。D的轴反常和指数以及Atiyah-Singer指数定理在格上的精确实现完全由手征极限R→0的手征对称算子D的拓扑特征决定。
The axial anomaly of Ginsparg-Wilson fermion operator D is discussed in general for the operator R which enters the chiral symmetry breaking part in the Ginsparg-Wilson relation. The axial anomaly and the index of D as well as the exact realization of the Atiyah-Singer index theorem on the lattice are determined solely by the topological characteristics of the chirally symmetric operator Dcin the chiral limit R→0.