Monte Carlo Simulation of the Three Dimensional Thirring Model
High Energy Physics - Lattice
2009-10-28 v1 High Energy Physics - Theory
Abstract
We study the Thirring model in three spacetime dimensions, by means of Monte Carlo simulation on lattice sizes 8^3 and 12^3, for numbers of fermion flavors N_f=2,4,6. For sufficiently strong interaction strength, we find that spontaneous chiral symmetry breaking occurs for N_f=2,4, in accordance with the predictions of the Schwinger-Dyson approach. The phase transitions which occur are continuous and with critical scaling behaviour depending on N_f. For N_f=6 our results are preliminary, and no firm conclusions about the existence or otherwise of chiral symmetry breaking are possible
Keywords
Cite
@article{arxiv.hep-lat/9512013,
title = {Monte Carlo Simulation of the Three Dimensional Thirring Model},
author = {Luigi Del Debbio and Simon Hands},
journal= {arXiv preprint arXiv:hep-lat/9512013},
year = {2009}
}
Comments
20 pages plain TeX including 6 figures using psfig.sty