A Lattice Fermion Doublet With A Generalization Of The Ginsparg-Wilson Relation
Abstract
Description
We present a new staggered discretization of the Dirac operator. In comparison with standard staggered fermions, real and imaginary parts are located in different nodes. Doubling gives only a doublet of Dirac fermions which we propose to interpret as a physical (lepton or quark) doublet. Contrary to usual staggered fermions, we have no exact chiral symmetry but obtain a generalization of the Ginsparg-Wilson relation.
Corrected important definitions (23), (25). 9 pages Latex, no figures
Corrected important definitions (23), (25). 9 pages Latex, no figures