Perfect Lattice Actions for the Gross-Neveu Model
High Energy Physics - Lattice
2016-08-31 v1
Abstract
We apply the method of Hasenfratz and Niedermayer to analytically construct perfect lattice actions for the Gross--Neveu model. In the large limit these actions display an exactly perfect scaling, i.e. cut-off artifacts are completely eliminated even at arbitrarily short correlation length. Also the energy spectrum coincides with the spectrum in the continuum and continuous translation and rotation symmetries are restored in physical observables. This is the first (analytic) construction of an exactly perfect lattice action at finite correlation length.
Keywords
Cite
@article{arxiv.hep-lat/9411040,
title = {Perfect Lattice Actions for the Gross-Neveu Model},
author = {W. Bietenholz and E. Focht and U. -J. Wiese},
journal= {arXiv preprint arXiv:hep-lat/9411040},
year = {2016}
}
Comments
6 pages, 2 eps figs, encoded with uufiles (Contribution to Lattice 94)