The Three Dimensional Thirring Model for Nf=4 and Nf=6
L. Del Debbio, S. J. Hands
Abstract
We present Monte Carlo simulation results for the three dimensional Thirring model for numbers of fermion flavors Nf=4 and 6. For Nf=4 we find a second order chiral symmetry breaking transition at strong coupling, corresponding to an ultra-violet fixed point of the renormalisation group defining a non-trivial continuum limit. The critical exponents extracted from a fit to a model equation of state are distinct from those found for Nf=2. For Nf=6, in contrast, we present evidence for tunnelling between chirally symmetric and broken vacua at strong coupling, implying that the phase transition is first order and no continuum limit exists. The implications for the phase diagram of the model in the plane of coupling strength and Nf are briefly discussed.
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