Chiral Anomaly and Index Theorem on a finite lattice
High Energy Physics - Lattice
2015-06-25 v1 Condensed Matter
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
The condition for a lattice Dirac operator D to reproduce correct chiral anomaly at each site of a finite lattice for smooth background gauge fields is that D possesses exact zero modes satisfying the Atiyah-Singer index theorem. This is also the necessary condition for D to have correct fermion determinant (ratio) which plays the important role of incorporating dynamical fermions in the functional integral.
Keywords
Cite
@article{arxiv.hep-lat/9909012,
title = {Chiral Anomaly and Index Theorem on a finite lattice},
author = {Ting-Wai Chiu},
journal= {arXiv preprint arXiv:hep-lat/9909012},
year = {2015}
}
Comments
LATTICE99(chiral fermion), 3 pages, Latex, espcrc2.sty