Abstract
We study the Thirring model in three spacetime dimensions, by means of Monte Carlo simulation on lattice sizes 8 3 and 12 3, for number of Fermion flavors N F = 2, 4, 6. For sufficiently strong interaction strength, we find that spontaneous chiral symmetry breaking occurs for N F = 2, 4, in accordance with the predictions of the Schwinger-Dyson approach. The phase transitions which occur are continuous and with critical scaling behaviour depending on N F . For N F = 6 our results are preliminary, and no firm conclusions about the existence or otherwise of chiral symmetry breaking are possible.
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