1999/09/30 by Pedro J. de A. Bicudo
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #cond-mat.str-el #hep-lat #hep-ph
paper · pdf · doi:10.1016/s0370-2693(00)00255-0
published as Phys.Lett. B478 (2000) 379-386; Erratum-ibid. B521 (2001) 441 · 7 Latex Revtex pages, 4 ps figures. The paper was improoved due to Comments received. It has a new section and several new references
arxiv created 2000/01/08 · openalex publication_date 2000/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We address the problem of the fermion species doubling on the Lattice. Our strategy is to factorize the fermion doubles from the action. The mass term of the Dirac-Wilson action is changed. In this case the extra roots which appear in the action of free fermions in the moment representation are independent of the mass and can be factorized from the fermion propagator. However the gauge couplings suffer from the pathological ghost poles which are common to non-local actions. This action can be used to find a solution of the Ginsparg Wilson relation, which is cured from the non-local pathology. Finally we compare this factorized action with solutions of The Ginsparg Wilson relation. We find that the present is equivalent to the Zenkin action, and that is not quite as local as the Neuberger action.