The Three Dimensional Thirring Model for N_f=4 and N_f=6

Details The Three Dimensional Thirring Model for N_f=4 and N_f=6 The Three Dimensional Thirring Model for N_f=4 and N_f=6

1999-02-10

arxiv.org/abs/hep-lat/9902014v1

Nucl.Phys. B552 (1999) 339-362

Physics

High Energy Physics

High Energy Physics - Lattice

29 pages, 13 figures

Scientific paper

We present Monte Carlo simulation results for the three dimensional Thirring model for numbers of fermion flavors N_f=4 and 6. For N_f=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 N_f=2. For N_f=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 N_f are briefly discussed.

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