2001•Physical Review LettersOpen access

Critical Exponents of the Gross-Neveu Model from the Effective Average Action

Luigi Rosa, Patrizia Vitale, C. Wetterich

Abstract

The phase transition of the Gross-Neveu model with N fermions is investigated by means of a nonperturbative evolution equation for the scale dependence of the effective average action. The critical exponents and scaling amplitudes are calculated for various values of N in d = 3. It is also explicitly verified that the Neveu-Yukawa model belongs to the same universality class as the Gross-Neveu model.

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Key concepts: Gross–Neveu model, Critical exponent, Physics, Renormalization group, Yukawa potential, Fermion, Critical phenomena, Universality (dynamical systems)