The (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry at non-zero temperature

Details The (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry at non-zero temperature The (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry at non-zero temperature

2001-07-02

arxiv.org/abs/hep-lat/0107004v1

Phys.Lett. B515 (2001) 407-413

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, 6 figures

Scientific paper

10.1016/S0370-2693(01)00885-1

We present results from numerical simulations of the (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry and N_f=4 fermion species at non-zero temperature. We provide evidence that there are two different chirally symmetric phases, one critical and one with finite correlation length, separated by a Berezinskii-Kosterlitz-Thouless transition. We have also identified a regime above the critical temperature in which the fermions acquire a screening mass even in the absence of chiral symmetry breaking, analogous to the pseudogap behaviour observed in cuprate superconductors.

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