Massless Composite Fermions in Two Dimensions and the Overlap

Abstract

There exist chiral gauge models in two dimensions that have massless composite fermions. Two examples are presented and it is suggested that they be accepted as benchmark test-cases for generic proposals of non-perturbatively regulating chiral gauge theories in any dimension. We apply the overlap to the simpler of the two benchmarks and present the results of a numerical simulation of modest size.

12 pages, Plain TeX with epsf, 2 PS figures

References in corpus (4)

• Chiral Fermions from Lattice Boundaries
• A construction of lattice chiral gauge theories
• Universality in Two Dimensional Gauge Theory.
• A simulation of the Schwinger model in the overlap formalism

Cited by in corpus (5)

• Monte Carlo evaluation of a fermion number violating observable in 2D
• Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance
• Global obstructions to gauge-invariance in chiral gauge theory on the lattice
• The (11112) model on a 1+1 dimensional lattice
• Comments on ``Lattice Formulation of the Standard Model'' by Creutz. et. al