On the Large Mass Limit of the Continuum Theories in Kaplan's Formulation

Abstract

Being inspired by Kaplan's proposal for simulating chiral fermions on a lattice, we examine the continuum analog of his domain-wall construction for two-dimensional chiral Schwinger models. Adopting slightly unusual dimensional regularization, we explicitly evaluate the one-loop effective action in the limit that the domain-wall mass goes to infinity. For anomaly-free cases, the effective action turns out to be gauge invariant in two-dimensional sense.

30pages, harvmac, KUNS-1239, HE(TH)94/01. (Several comments in the introduction and the related references are added.)

References in corpus (6)

• Chiral Determinant as an Overlap of Two Vacua
• Chiral Fermions on the Lattice
• Investigation of the Domain Wall Fermion Approach to Chiral Gauge Theories on the Lattice
• Chiral Defect Fermions and the Layered Phase
• Anomaly Cancellation in 2+1 dimensions in the presence of a domainwall mass
• Perturbative analysis for Kaplan's lattice chiral fermions

Cited by in corpus (6)

• Chiral Fermions on the Lattice
• Domain Wall Fermions and Chiral Gauge Theories
• Vacuum Polarization and Chiral Lattice Fermions
• 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
• Lattice perturbation theory in the overlap formulation for the Yukawa and gauge interactions