Chiral Gauge Models on a Lattice

Alan Horowitz

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arXiv · hep-lat/9901024

Chiral Gauge Models on a Lattice

Alan Horowitz

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Abstract

Chiral gauge groups acting on a lattice fermion field are constructed such that all fermion modes (doublers) have the same charge. Details are given for an abelian axial gauge group within a perturbative framework. An action based on this group correctly reproduces the continuum gauge-current anomaly, while preserving global chiral symmetry, locality, rotational symmetry and hermiticity. A Wess-Zumino-like scalar field enters naturally to enforce exact chiral gauge invariance. The degeneracy amongst the doublers can be lifted as in a vector model.

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Alan Horowitz. 1999-01-29. Chiral Gauge Models on a Lattice. https://arxiv.org/abs/hep-lat/9901024

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