  We present results from Monte Carlo simulations of the three-dimensional
Gross-Neveu model with a U(1) chiral symmetry at nonzero temperature. We
provide evidence that the model undergoes a Berezinskii-Kosterlitz-Thouless
transition in accordance with the dimensional reduction scenario. We also
identify a regime in the high temperature phase in which the fermions acquire
nonzero dynamical mass, analogous to the pseudogap behaviour observed in
cuprate superconductors.
