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

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

2002-03-28

arxiv.org/abs/cond-mat/0203588v4

Phys.Rev. B66 (2002) 205111

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure; v4 corresponds to the published article

Scientific paper

10.1103/PhysRevB.66.205111

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 \nu = 0.63 and scalar and fermionic anomalous dimension \eta_\sigma = 0.31 and \eta_\psi = 0.11, respectively. We also compute critical exponents for other N. Our results are based on exact renormalization group equations.

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