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arXiv hep-lat/9809123hep-lat
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重叠形式下晶格手征费米子的对称性与对称性恢复

Symmetry and Symmetry Restoration of Lattice Chiral Fermion in the Overlap Formalism

Y. Kikukawa

摘要:

本文讨论了格手征费米子在重叠形式下对称结构的三个方面。利用重叠Dirac算子的弱耦合展开,对Luescher提出的手征变换的轴反常进行了估计,并证明了在微扰背景下,轴反常具有正确的拓扑荷密度形式.接下来,我们讨论的指数抑制的自能修正的最轻模式的畴壁费米子/截断重叠。最后,我们考虑了手征多重态重叠公式的超对称扩展,并研究了作用的对称结构。

英文摘要:

Three aspects of symmetry structure of lattice chiral fermion in the overlap formalism are discussed. By the weak coupling expansion of the overlap Dirac operator, the axial anomaly associated to the chiral transformation proposed by Luescher is evaluated and is shown to have the correct form of the topological charge density for perturbative backgrounds. Next we discuss the exponential suppression of the self-energy correction of the lightest mode in the domain-wall fermion/truncated overlap. Finally, we consider a supersymmetric extension of the overlap formula in the case of the chiral multiplet and examine the symmetry structure of the action.

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