1999/01/29 by Alan Horowitz, Horowitz, Alan
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat
paper · pdf · doi:10.48550/arxiv.hep-lat/9901024
9 pages, LaTeX
arxiv created 1999/01/29 · arxiv updated 2009/12/01
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.