Manifestly gauge covariant treatment of lattice chiral fermions

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2 Citations (Scopus)

Abstract

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 nonintegrability. We perform some perturbative tests 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.

Original languageEnglish
Pages (from-to)2994-2997
Number of pages4
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume55
Issue number5
DOIs
Publication statusPublished - 1997
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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