skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A Practical Implementation of the Overlap Dirac Operator

Abstract

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 }

Authors:
 [1]
  1. Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08855-0849 (United States)
Publication Date:
OSTI Identifier:
342675
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 81; Journal Issue: 19; Other Information: PBD: Nov 1998
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; DIRAC OPERATORS; SU-2 GROUPS; NUMERICAL SOLUTION; CHIRAL SYMMETRY; LATTICE FIELD THEORY

Citation Formats

Neuberger, H. A Practical Implementation of the Overlap Dirac Operator. United States: N. p., 1998. Web. doi:10.1103/PhysRevLett.81.4060.
Neuberger, H. A Practical Implementation of the Overlap Dirac Operator. United States. doi:10.1103/PhysRevLett.81.4060.
Neuberger, H. Sun . "A Practical Implementation of the Overlap Dirac Operator". United States. doi:10.1103/PhysRevLett.81.4060.
@article{osti_342675,
title = {A Practical Implementation of the Overlap Dirac Operator},
author = {Neuberger, H.},
abstractNote = {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 }},
doi = {10.1103/PhysRevLett.81.4060},
journal = {Physical Review Letters},
number = 19,
volume = 81,
place = {United States},
year = {1998},
month = {11}
}