The Index of a Ginsparg-Wilson Dirac operator
High Energy Physics - Lattice
2011-02-16 v5 Condensed Matter
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
A novel feature of a Ginsparg-Wilson lattice Dirac operator is discussed. Unlike the Dirac operator for massless fermions in the continuum, this lattice Dirac operator does not possess topological zero modes for any topologically-nontrivial background gauge fields, even though it is exponentially-local, doublers-free, and reproduces correct axial anomaly for topologically-trivial gauge configurations.
Cite
@article{arxiv.hep-lat/0106012,
title = {The Index of a Ginsparg-Wilson Dirac operator},
author = {Ting-Wai Chiu},
journal= {arXiv preprint arXiv:hep-lat/0106012},
year = {2011}
}
Comments
8 pages, minor changes, the version to appear in Phys. Lett. B