Manifestly gauge covariant treatment of lattice chiral fermions. II

Journal Article · Mon Dec 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.56.6829· OSTI ID:564945

Okuyama, K; Suzuki, H ^[1]

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

We propose a formulation of chiral fermions on a lattice, on the basis of a lattice extension of the covariant regularization scheme in continuum field theory. The species doublers do not emerge. The real part of the effective action is just one-half of that of Dirac-Wilson fermion and is always gauge invariant even with a finite lattice spacing. The gauge invariance of the imaginary part, on the other hand, sets a severe constraint that is a lattice analog of the gauge anomaly-free condition. For real gauge representations, the imaginary part identically vanishes and the gauge invariance becomes exact. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 564945
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 11 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ACTION INTEGRAL
CHIRAL SYMMETRY
FERMIONS
GAUGE INVARIANCE
LATTICE FIELD THEORY