Axial anomaly and topological charge in lattice gauge theory with Overlap Dirac operator
Axial anomaly and topological charge in lattice gauge theory with Overlap Dirac operator
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DOI：
10.1006/aphy.2001.6209
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发表时间：
1998-12
影响因子：
3
通讯作者：
D. Adams
中科院分区：
文献类型：
--
作者：
D. Adams
摘要在无限体积和有限体积条件下，对重叠Dirac算子的轴向反常和指数密度的经典连续极限进行了详细的计算.我们的方法是基于一个新的幂级数展开的重叠狄拉克算子。当参数m0在物理区域0m0时，再现了正确的连续统表达式
Abstract An explicit, detailed evaluation of the classical continuum limit of the axial anomaly and index density of the overlap Dirac operator is carried out in the infinite volume setting and in a certain finite volume setting where the continuum limit involves an infinite volume limit. Our approach is based on a novel power series expansion of the overlap Dirac operator. The correct continuum expression is reproduced when the parameter m 0 is in the physical region 0 m 0