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Minimizing storage in implementations of the overlap lattice-Dirac operator
Herbert Neuberger
The overlap lattice-Dirac operator contains the sign function . Recent practical implementations replace by a ratio of polynomials, , and requir…
Chirality on the Lattice
H. Neuberger
During the last several years a non-perturbative formulation of exact chiral symmetry on the lattice has been developed. I shall outline the main ideas of these developments and di…
Lattice Chirality
Herbert Neuberger
The external fermion propagator and the internal fermion propagator in the overlap are given by different matrices. A generic problem (formulated by Pelissetto) faced by all chiral…
A practical implementation of the Overlap-Dirac operator
Herbert Neuberger
A practical implementation of the Overlap-Dirac operator is presented. The implementation exploits the sparseness of and does not require full storage. A…
Witten's SU(2) anomaly on the lattice
Herbert Neuberger
Witten's anomaly for SU(2) with a single I=1/2 Weyl fermion in four dimension is shown to be reproduced by the lattice overlap. The mechanism is based on Berry's phase, and on the…
Explicitly real form of the Wilson-Dirac matrix for SU(2)
Herbert Neuberger
The Wilson-Dirac matrix for SU(2) with I=1/2 fermions is written in an explicitly real form. The basis change relating it to the conventional form in which the matrix has complex e…