Gauge-Fixing Approach to Lattice Chiral Gauge Theories

Abstract

We report on recent progress with the definition of lattice chiral gauge theories, using a lattice action that includes a discretized Lorentz gauge-fixing term. This gauge-fixing term has a unique global minimum, and allows us to use perturbation theory in order to study the influence of the gauge degrees of freedom on the fermions. For the abelian case, we find, both in perturbation theory and numerically, that the fermions remain chiral, and that there are no doublers. More details on our approach, including a discussion of how we evade the Nielsen-Ninomiya theorem, can be found in hep-lat/9709115.

6 pages, 2 figures, LaTeX, plenary talk at LATTICE'97, Edinburgh

Cited by in corpus (9)

• Exact chiral symmetry, topological charge and related topics
• Lattice Chiral Gauge Theories
• SU(N) chiral gauge theories on the lattice
• Relation $Tr{\gamma }_5=0$ and the index theorem in lattice gauge theory
• On the Definition of Gauge Field Operators in Lattice Gauge-Fixed Theories
• The Phase Diagram and Spectrum of Gauge-Fixed Abelian Lattice Gauge Theory
• Fermion-number violation in regularizations that preserve fermion-number symmetry
• More on Lattice BRST Invariance
• Remark on lattice BRST invariance