Kaplan-Narayanan-Neuberger lattice fermions pass a perturbative test

Abstract

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 necessary infinite extent of the extra dimension are properly addressed. The indications from this study are that the Kaplan--Narayanan--Neuberger (KNN) scheme has a good chance at being a correct lattice regularization of chiral gauge theories.

LaTeX 18 pages, 3 figures

References in corpus (10)

• A Method for Simulating Chiral Fermions on the Lattice
• Chiral Determinant as an Overlap of Two Vacua
• Infinitely many regulator fields for chiral fermions
• Chiral Fermions on the Lattice
• Domain wall fermions in a waveguide: the phase diagram at large Yukawa coupling
• Anomalies and chiral defect fermions
• Perturbative analysis for Kaplan's lattice chiral fermions
• Generalized Pauli-Villars Regularization and the Covariant Form of Anomalies
• Anomaly through Gauge Invariant Regularization with Infinite Number of Pauli-Villars Fields
• Chiral gauge theories with domain wall fermions

Cited by in corpus (14)

• Chiral Fermions on the Lattice
• On the Overlap Prescription for Lattice Regularization of Chiral Fermions
• Overlap formula for the chiral multiplet
• Vacuum Polarization and Chiral Lattice Fermions
• A Lattice Formulation of Chiral Gauge Theories
• Renormalizability of a lattice chiral fermion in the overlap formulation
• Weak coupling expansion of a chiral gauge theory on a lattice in the overlap formulation
• Perturbative study for domain-wall fermions in 4+1 dimensions
• Domain-wall fermions with $U(1)$ dynamical gauge fields
• Lattice fermions with gauge noninvariant measure
• Simple ansatz for the lattice fermion determinant
• Chiral zero modes on the domain-wall model in 4+1 dimensions
• Manifestly Gauge Covariant Treatment of Lattice Chiral Fermions. II
• The domain-wall model in an asymptotic-free dynamics