arXiv:hep-lat/0012015·v1·High Energy Physics — Lattice
A nonlocal discretization of fields
Rafael G. Campos (1)🇲🇽 · Eduardo S. Tututi (1)🇲🇽 · L.O. Pimentel (2) ((1) Escuela de Ciencias Fisico-Matematicas, Universidad Michoacana, Morelia, Mexico, (2) Departamento de Fisica, Universidad Autonoma Metropolitana, Mexico, DF)🇲🇽
Abstract
A nonlocal method to obtain discrete classical fields is presented. This technique relies on well-behaved matrix representations of the derivatives constructed on a non--equispaced lattice. The drawbacks of lattice theory like the fermion doubling or the breaking of chiral symmetry for the massless case, are absent in this method.
Comments: 11 pages, no figures, latex file