The Phase Diagram of the Three Dimensional Thirring Model

Details The Phase Diagram of the Three Dimensional Thirring Model The Phase Diagram of the Three Dimensional Thirring Model

1999-06-11

arxiv.org/abs/hep-lat/9906008v1

Phys.Lett. B461 (1999) 263-269

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, 7 figures

Scientific paper

10.1016/S0370-2693(99)00843-6

We present Monte Carlo simulation results for the three dimensional Thirring model on moderate sized lattices using a hybrid molecular dynamics algorithm which permits an odd or non-integer number Nf of fermion flavors. We find a continuous chiral symmetry breaking transition for Nf approximately equal to 3 with critical exponents consistent with expectations from previous studies. For Nf=5 the order of the transition is difficult to determine on the lattice sizes explored. We present a phase diagram for the model in the (1/g^2,Nf) plane and contrast our findings with expectations based on approximate solutions of the continuum Schwinger-Dyson equations.

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