Phase diagram of the three dimensional Thirring model - A Monte Carlo study
High Energy Physics - Lattice
2008-11-26 v1 Strongly Correlated Electrons
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
Certain approximate solutions of the continuum Schwinger-Dyson Equations (SDEs) predict chiral symmetry breaking in the 3d Thirring model when the number of fermion flavors N_f<4.32 whereas others predict symmetry breaking for all N_f. Our results from Monte Carlo simulations with N_f=6, predict a second order chiral phase transition. The critical coupling in this case corresponds to an ultra-violet fixed point of the renormalization group defining a non-trivial continuum limit. Further, our numerical simulations provide an estimate for the critical number of fermion flavors, N_fc \approx 6.5.
Keywords
Cite
@article{arxiv.hep-lat/0703016,
title = {Phase diagram of the three dimensional Thirring model - A Monte Carlo study},
author = {Stavros Christofi and Simon Hands and Costas Strouthos},
journal= {arXiv preprint arXiv:hep-lat/0703016},
year = {2008}
}
Comments
7 pages, 7 figs, Presented at XXIV International Symposium on Lattice Field Theory (Lattice 2006, Tucson, Arizona)