A practical implementation of the Overlap-Dirac operator

A practical implementation of the overlap Dirac operator [1+{gamma}{sub 5}{epsilon}(H) ]/2 is presented. The implementation exploits the sparseness of H and does not require full storage. A simple application to parity invariant three dimensional SU(2) gauge theory is carried out to establish that zero modes related to topology are exactly reproduced on the lattice. {copyright} {ital 1998} {ital The American Physical Society }