New approximate solutions of the Ginsparg-Wilson equation - tests in 2-d
High Energy Physics - Lattice
2009-10-31 v2 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
A new method for finding approximate solutions of the Ginsparg-Wilson equation is tested in 2-d. The Dirac operator is first constructed and then used in a dynamical simulation of the 2-flavor Schwinger model. We find a very small mass of the pi-particle implying almost chirally symmetric fermions. The generalization of our method to 4-d is straightforward.
Keywords
Cite
@article{arxiv.hep-lat/0002002,
title = {New approximate solutions of the Ginsparg-Wilson equation - tests in 2-d},
author = {Christof Gattringer and Ivan Hip},
journal= {arXiv preprint arXiv:hep-lat/0002002},
year = {2009}
}
Comments
Revised version (to appear in Physics Letters B); references added and regrouped; new comment on finite size effects