pith. sign in

arxiv: hep-lat/0701016 · v1 · pith:IPL36WQGnew · submitted 2007-01-22 · ✦ hep-lat · cond-mat.str-el· hep-th

Critical Flavor Number in the Three Dimensional Thirring Model

classification ✦ hep-lat cond-mat.str-elhep-th
keywords criticalnumbertransitionchiralcouplingdimensionalflavorflavors
0
0 comments X
read the original abstract

We present results of a Monte Carlo simulation of the three dimensional Thirring model with the number of fermion flavors N_f varied between 2 and 18. By identifying the lattice coupling at which the chiral condensate peaks, simulations are be performed at couplings g^2(N_f) corresponding to the strong coupling limit of the continuum theory. The chiral symmetry restoring phase transition is studied as N_f is increased, and the critical number of flavors estimated as N_{fc}=6.6(1). The critical exponents measured at the transition do not agree with self-consistent solutions of the Schwinger-Dyson equations; in particular there is no evidence for the transition being of infinite order. Implications for the critical flavor number in QED_3 are briefly discussed.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.