Phys. Rev. B 66, 205111 (2002) [5 pages]Phase transition and critical behavior of the d=3 Gross-Neveu modelReceived 28 March 2002; revised 4 September 2002; published 27 November 2002 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 dimensions 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.66.205111
DOI:
10.1103/PhysRevB.66.205111
PACS:
71.30.+h, 64.60.Cn, 05.70.Fh, 64.60.Ak
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