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arxiv: hep-th/0007093 · v2 · submitted 2000-07-12 · ✦ hep-th · hep-ph

Critical exponents of the Gross-Neveu model from the effective average action

classification ✦ hep-th hep-ph
keywords modelgross-neveuactionaveragecriticaleffectiveexponentsamplitudes
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The phase transition of the Gross-Neveu model with N fermions is investigated by means of a non-perturbative 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 explicitely verified that the Neveu-Yukawa model belongs to the same universality class as the Gross-Neveu model.

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