Phase transition and critical behaviour of the d=3 Gross-Neveu model
F. Hoefling, C. Nowak, C. Wetterich
Abstract
A second order phase transition for the three dimensional Gross-Neveu model is established for one fermion species N=1. This transition breaks a paritylike discrete symmetry. It constitutes its peculiar universality class with critical exponent ν= 0.63 and scalar and fermionic anomalous dimension ησ= 0.31 and ηψ= 0.11, respectively. We also compute critical exponents for other N. Our results are based on exact renormalization group equations.
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