Generalized parity transformations in lattice Chern-Simons theory
High Energy Physics - Theory
2007-05-23 v1
Abstract
Regularization modifies the (odd) behaviour of the Abelian Chern-Simons action under parity. This effect happens for any sensible regularization; in particular, on the lattice. However, as in the chiral symmetry case, there exist generalized parity transformations such that the regularized theory is odd, and the corresponding operator verifies a Ginsparg-Wilson like relation. We present a derivation of such a relation and of the corresponding symmetry transformations.
Cite
@article{arxiv.hep-th/0110043,
title = {Generalized parity transformations in lattice Chern-Simons theory},
author = {C. D. Fosco and A. Lopez},
journal= {arXiv preprint arXiv:hep-th/0110043},
year = {2007}
}
Comments
3 pages, LaTeX. Talk given at Lattice2001(theorydevelop)