We study the Thining model in three spacetime dimensions, by means of
Monte Carlo simulation on lattice sizes 8(3) and 12(3), for numbers of
Fermion flavors N-f = 2, 4, 6. For sufficiently strong interaction st
rength, we find that spontaneous chiral symmetry breaking occurs for N
-f = 2,4, in accordance with the predictions of the Schwinger-Dyson ap
proach. The phase transitions which occur are continuous and with crit
ical scaling behaviour depending on N-f. For N-f = 6 our results are p
reliminary, and no firm conclusions about the existence or otherwise o
f chiral symmetry breaking are possible.