Topologically invariant transformation for lattice fermions

A transformation is devised to convert any lattice Dirac fermion operator into 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 renormalization) which occur to the standard Wilson-Dirac lattice fermion operator.