Phase transition and critical behavior of the D = 3 Gross-Neveu model

Mar, 2002
4 pages
Published in:
  • Phys.Rev.B 66 (2002) 205111
e-Print:

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Abstract: (arXiv)
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.
  • Gross-Neveu model
  • dimension: 3
  • critical phenomena
  • universality
  • renormalization group
  • numerical calculations