Manifestly Gauge Covariant Treatment of Lattice Chiral Fermion

Details Manifestly Gauge Covariant Treatment of Lattice Chiral Fermion Manifestly Gauge Covariant Treatment of Lattice Chiral Fermion

1996-09-06

arxiv.org/abs/hep-th/9609054v4

Phys.Rev. D55 (1997) 2994-2997

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, phyzzx, The final version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.55.2994

We propose a lattice formulation of the chiral fermion which maximally respects the gauge symmetry and simultaneously is free of the unwanted species doublers. The formulation is based on the lattice fermion propagator and composite operators, rather than on the lattice fermion action. The fermionic determinant is defined as a functional integral of an expectation value of the gauge current operator with respect to the background gauge field: The gauge anomaly is characterized as the non-integrability. We perform some perturbative test to confirm the gauge covariance and an absence of the doublers. The formulation can be applied rather straightforwardly to numerical simulations in the quenched approximation.

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