The thermodynamics of the (2+1)-dimensional Gross-Neveu model is analyzed. The model is not renormalizable in the weak-coupling expansion but becomes renormalizable in the 1/$N_f$ expansion. We calculate the critical temperature and find the phase structure. The critical exponents α, α’, β, γ, γ’, δ, η, ν, and ν’ are calculated to leading order in 1/$N_f$, and do not satisfy the ‘‘scaling relations.’’

• Received 29 November 1988

DOI:https://doi.org/10.1103/PhysRevD.39.3088