Lattice Chiral Fermions Through Gauge Fixing

Abstract

We study a concrete lattice regularization of a U(1) chiral gauge theory. We use Wilson fermions, and include a Lorentz gauge-fixing term and a gauge-boson mass counterterm. For a reduced version of the model, in which the gauge fields are constrained to the trivial orbit, we show that there are no species doublers, and that the fermion spectrum contains only the desired states in the continuum limit, namely charged left-handed (LH) fermions and neutral right-handed (RH) fermions.

4 pages, 3 figures (postscript), version to appear in Phys. Rev. Lett

Cited by in corpus (21)

• Aspects of Chiral Symmetry and the Lattice
• Lattice Chiral Gauge Theories
• SU(N) chiral gauge theories on the lattice
• A further study of the possible scaling region of lattice chiral fermions
• On the Phase Diagram of a Lattice U(1) Gauge Theory with Gauge Fixing
• Chiral Gauge Theory on Lattice with Domain Wall Fermions
• Chiral Fermions on the Lattice through Gauge Fixing -- Perturbation Theory
• Running couplings in equivariantly gauge-fixed SU(N) Yang--Mills theories
• The Phase Diagram and Spectrum of Gauge-Fixed Abelian Lattice Gauge Theory
• Fermion-number violation in regularizations that preserve fermion-number symmetry
• Six-dimensional regularization of chiral gauge theories
• More on Lattice BRST Invariance
• Gauge fixed domain wall fermions on lattice at small Yukawa coupling
• Remark on lattice BRST invariance
• Non-perturbatively gauge-fixed compact $U(1)$ lattice gauge theory
• On the continuum limit of gauge-fixed compact U(1) lattice gauge theory
• Tricritical points in a compact $U(1)$ lattice gauge theory at strong coupling
• U(1) Chiral Gauge Theory with Domain Wall Fermions and Gauge Fixing
• SU(N) chiral gauge theories on the lattice: a quick overview
• New tests of the gauge-fixing approach to lattice chiral gauge theories
• U(1) Chiral gauge theory on lattice with gauge-fixed domain wall fermions