The Three Dimensional Thirring Model for Small N_f
Abstract
We formulate the three dimensional Thirring model on a spacetime lattice and study it for various even numbers of fermion flavors N_f by Monte Carlo simulation. We find clear evidence for spontaneous chiral symmetry breaking at strong coupling, contradicting the predictions of the 1/N_f expansion. The critical point appears to correspond to an ultra-violet fixed point of the renormalisation group; a fit to a RG-inspired equation of state in the vicinity of the fixed point yields distinct critical exponents for N_f=2 and N_f=4, while no fit is found for N_f=6, suggesting there is a critical number N_fc<6 beyond which no chiral symmetry breaking occurs. The spectrum of the N_f=2 theory is studied; the states examined vary sharply but continuously across the transition.
Keywords
Cite
@article{arxiv.hep-lat/9701016,
title = {The Three Dimensional Thirring Model for Small N_f},
author = {L. Del Debbio and S. J. Hands and J. C. Mehegan},
journal= {arXiv preprint arXiv:hep-lat/9701016},
year = {2009}
}
Comments
50 pages LaTeX, including 16 tables and 20 figures - uses style file ldd_art.sty (included)