Non trivial critical exponents for finite temperature chiral transitions at fixed total fermion number

We analyse the finite temperature chiral restoration transition of the (D=d+1) dimensional Gross-Neveu model for the case of a large number of flavors and fixed total fermion number. In this formulation of the theory, we have obtained that, in the transition region, the model is described by a chiral conformal field theory where the concepts of dimensional reduction and universality do apply due to a transmutation of statistics which makes fermions act as if they were bosons, having zero energy. (author)