Elucidating the sign problem through noise distributions
High Energy Physics - Lattice
2015-06-11 v1 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
Due to the presence of light pions in the theory, lattice QCD at finite densities suffers from issues with noise in both grand canonical and canonical formulations. We study two different formulations of the Nambu-Jona-Lasinio model reduced to 2+1 dimensions at large N, where N is the number of flavors. At finite chemical potential one formulation has a severe sign problem and a fermion correlator which displays a broad probability distribution with small mean. In the other we find no sign problem and a distribution amenable to the cumulant expansion techniques developed in earlier work.
Cite
@article{arxiv.1210.7250,
title = {Elucidating the sign problem through noise distributions},
author = {Amy N. Nicholson and Dorota Grabowska and David B. Kaplan},
journal= {arXiv preprint arXiv:1210.7250},
year = {2015}
}
Comments
6 pages, proceedings for the "Extreme QCD" workshop, Washington DC, August 2012