Fermion loop simulation of the lattice Gross-Neveu model
High Energy Physics - Lattice
2008-11-26 v1 Strongly Correlated Electrons
High Energy Physics - Phenomenology
Abstract
We present a numerical simulation of the Gross-Neveu model on the lattice using a new representation in terms of fermion loops. In the loop representation all signs due to Pauli statistics are eliminated completely and the partition function is a sum over closed loops with only positive weights. We demonstrate that the new formulation allows to simulate volumes which are two orders of magnitude larger than those accessible with standard methods.
Keywords
Cite
@article{arxiv.0704.2277,
title = {Fermion loop simulation of the lattice Gross-Neveu model},
author = {Christof Gattringer and Verena Hermann and Markus Limmer},
journal= {arXiv preprint arXiv:0704.2277},
year = {2008}
}