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Phase transition and critical behaviour of the d=3 Gross-Neveu model

F. Hoefling·C. Nowak·C. Wetterich
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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 η_σ= 0.31 and η_ψ= 0.11, respectively. We also compute critical exponents for other N. Our results are based on exact renormalization group equations.

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F. Hoefling, C. Nowak, C. Wetterich. 2002-11-28. Phase transition and critical behaviour of the d=3 Gross-Neveu model. https://doi.org/10.1103/physrevb.66.205111

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