Gauge-Fixing Approach to Lattice Chiral Gauge Theories

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.