Topologically invariant transformation for lattice fermions

A transformation is devised to convert any lattice Dirac fermion operator i nto a Ginsparg-Wilson Dirac fermion operator. For the standard Wilson-Dirac lattice fermion operator, the transformed new operator is local, free of O (a) lattice artifacts, has correct axial anomaly in the trivial sector, and is not plagued by the notorious problems (e.g., additive mass renormalizat ion) which occur to the standard Wilson-Dirac lattice fermion operator. (C) 2000 Elsevier Science B.V. All rights reserved.