Non-compact QED(3) coupled to a four-fermi interaction

J. B. Kogut; C. G. Strouthos; I. N. Tziligakis

doi:10.1016/j.nuclphysbps.2004.11.131

paper

Non-compact QED(3) coupled to a four-fermi interaction

arXiv:hep-lat/0409038 · doi:10.1016/j.nuclphysbps.2004.11.131

Abstract

We present preliminary numerical results for the three dimensional non-compact QED with a weak four-fermion term in the lattice action. Approaches based on Schwinger-Dyson studies, arguments based on thermodynamic inequalities and numerical simulations lead to estimates of the critical number of fermion flavors (below which chiral symmetry is broken) ranging from $N_{f c} = 1$ to $N_{f c} = 4$ . The weak four-fermion coupling provides the framework for an improved algorithm, which allows us to simulate the chiral limit of massless fermions and expose delicate effects.

3 pages, Contribution to Lattice2004(chiral), Fermilab, June 21-26, 2004