Non-Compact QED3 with Nf=1 and Nf=4
Abstract
We present numerical results for non-compact three-dimensional QED for numbers of flavors Nf=1 and Nf=4.In particular, we address the issue of whether chiral symmetry is spontaneously broken in the continuum limit, and obtain a positive answer for Nf=1, with a dimensionless condensate estimated to be beta2<psibarpsi> ~= O(10-3), implying that the critical number of flavors Nfc>1. We also compare the Nf=1 and Nf=4 models by analysing the transition from strong to weak coupling behaviour using an equation of state based on a continuous phase transition. While some qualitative differences emerge, it appears difficult to determine whether Nf=4 lies above or below Nfc.
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