Kaplan-Narayanan-Neuberger lattice fermions pass a perturbative test

Journal Article · Sat Apr 01 00:00:00 EST 1995 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.51.3790· OSTI ID:6475838

Aoki, S ^[1]; Levien, R B ^[2]

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1. Institute of Physics, University of Tsukuba, Tsukuba Ibaraki-305 (Japan)
2. Department of Physics, Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544 (United States)

We test perturbatively a recent scheme for implementing chiral fermions on the lattice, proposed by Kaplan and modified by Narayanan and Neuberger, using as our testing ground the chiral Schwinger model. The scheme is found to reproduce the desired form of the effective action, whose real part is gauge invariant and whose imaginary part gives the correct anomaly in the continuum limit, once technical problems relating to the necesary infinite extent of the extra dimension are properly addressed. The indications from this study are that the Kaplan-Narayanan-Neuberger scheme has a good chance at being a correct lattice regularization of chiral gauge theories.

• OSTI ID: 6475838
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 51:7; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMIONS
CHIRAL SYMMETRY
LATTICE FIELD THEORY
UNIFIED GAUGE MODELS
GAUGE INVARIANCE
PERTURBATION THEORY
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
SYMMETRY
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662120 - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)