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We consider the N-component tri-dimensional massive Gross-Neveu model at finite temperature and with compactified spatial coordinates. We study the behavior of the renormalized large-N effective coupling constant, investigating its dependence on the compactification length and the temperature. We show that spatial confinement exists for the model at T = 0, which is destroyed by raising the temperature.doi:10.1590/s0103-97332006000700009 fatcat:e7kwrfdvuvhafmklnbeueq4g54