Manifestly gauge covariant treatment of lattice chiral fermions

Journal Article · Sat Mar 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.2994· OSTI ID:467548

Suzuki, H ^[1]

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1. Department of Physics, Ibaraki University, Mito 310 (Japan)

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. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 467548
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 5 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
FERMIONS
FUNCTIONAL ANALYSIS
FUNCTIONALS
GAUGE INVARIANCE
LATTICE FIELD THEORY
PROPAGATOR