The overlap is not a waveguide

Abstract

Golterman and Shamir falsely claim that a waveguide model modified by adding many charged bosonic spinors, in the limit of an infinite number of matter fields, becomes identical to the overlap if in the target theory every fermion appears in four copies. Their modified model would give wrong results even in the vectorial four flavor massless Schwinger model, while a dynamical simulation of this model with the overlap works correctly. In this note we pinpoint the error in the derivation of Golterman and Shamir.

Plain Tex, 3 pages

References in corpus (4)

• A construction of lattice chiral gauge theories
• Chiral Determinant as an Overlap of Two Vacua
• A simulation of the Schwinger model in the overlap formalism
• The relation between the waveguide and overlap implementations of Kaplan's domain wall fermions

Cited by in corpus (10)

• Lattice Formulation of the Standard Model
• The Standard Model from a New Phase Transition on the Lattice
• Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance
• Global obstructions to gauge-invariance in chiral gauge theory on the lattice
• Domain-wall fermions with $U(1)$ dynamical gauge fields
• Chiral zero modes on the domain-wall model in 4+1 dimensions
• Manifestly Gauge Covariant Treatment of Lattice Chiral Fermions. II
• Gauge Freedom in Chiral Gauge Theory with Vacuum Overlap
• Gribov Copy and Complex Phase of Chiral Determinant
• Desperately Seeking Chiral Fermions