The Index and Axial Anomaly of a lattice Dirac operator
High Energy Physics - Lattice
2011-02-16 v1
Abstract
A remarkable feature of a lattice Dirac operator is discussed. Unlike the Dirac operator for massless fermions in the continuum, this Ginsparg-Wilson 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/0110083,
title = {The Index and Axial Anomaly of a lattice Dirac operator},
author = {Ting-Wai Chiu},
journal= {arXiv preprint arXiv:hep-lat/0110083},
year = {2011}
}
Comments
3 pages, LaTex, Lattice2001(chiral)