Canonical Approach to Ginsparg-Wilson Fermion

Details Canonical Approach to Ginsparg-Wilson Fermion Canonical Approach to Ginsparg-Wilson Fermion

2005-01-11

arxiv.org/abs/hep-lat/0501008v3

Phys.Rev. D71 (2005) 114501

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages, 1 figure, final version

Scientific paper

10.1103/PhysRevD.71.114501

Based upon the lattice Dirac operator satisfying the Ginsparg-Wilson relation, we investigate canonical formulation of massless fermion on the spatial lattice. For free fermion system exact chiral symmetry can be implemented without species doubling. In the presence of gauge couplings the chiral symmetry is violated. We show that the divergence of the axial vector current is related to the chiral anomaly in the classical continuum limit.

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