Critical behaviour of the three-dimensional Gross-Neveu and Higgs-Yukawa models

  title={Critical behaviour of the three-dimensional Gross-Neveu and Higgs-Yukawa models},
  author={Leo Karkkainen and Robert Lacaze and P. Lacock and B.Petersson},
  journal={Nuclear Physics},
We measure the critical exponents of the three-dimensional Gross-Neveu model with two four-component fermions. The exponents are inferred from the scaling behaviour of observables on lattice sizes 8(3), 12(3), 16(3), 24(3), and 32(3). We find that the model has a second-order phase transition with nu = 1.00(4) and 2 - eta = gamma/nu = 1.246(8). We also calculate these exponents, through a second-order epsilon-expansion around four dimensions, for the three-dimensional Higgs-Yukawa model, which… Expand

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