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Chiral Gauge Models on a Lattice

High Energy Physics - Lattice 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.hep-lat/9901024,
  title  = {Chiral Gauge Models on a Lattice},
  author = {Alan Horowitz},
  journal= {arXiv preprint arXiv:hep-lat/9901024},
  year   = {2007}
}

Comments

9 pages, LaTeX