Staggered fermions for chiral gauge theories: Test on a two-dimensional axial-vector model

Abstract

As a first step towards constructing chiral models on the lattice with staggered fermions, we study a U(1) model with axial-vector coupling to an external gauge field in two dimensions. In our approach gauge invariance is broken, but it is restored in the classical continuum limit. We find that the continuum divergence relations for the vector and axial-vector currents are reproduced, up to contact terms, which we determine analytically. The current divergence relations are also studied numerically for smooth external gauge fields with topological charge zero. We furthermore investigate the effect of fluctuating gauge transformations and of gauge configurations with non-trivial topological charge.

17 pages, 5 postscript figures (appended), ITFA 93-13, UCSD/PTH 93-13

References in corpus (4)

• A Method for Simulating Chiral Fermions on the Lattice
• Chiral Fermions and Anomalies on a Finite Lattice
• Fermion-Higgs model with Reduced Staggered Fermions
• Can the Couplings in the Fermion-Higgs Sector of the Standard Model be Strong?

Cited by in corpus (7)

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• Symmetric Mass Generation in the 1+1 Dimensional Chiral Fermion 3-4-5-0 Model
• Lattice Chiral Fermions
• Chiral Lattice Fermions From Staggered Fields
• Fermion production despite fermion number conservation
• A Lattice Formulation of Chiral Gauge Theories
• On the Phase Diagram of a Lattice U(1) Gauge Theory with Gauge Fixing