Condensed Matter Physics, 2013, vol. 16, No. 4, 43005:1-14
DOI:10.5488/CMP.16.43005           arXiv:1308.2251

Title: Critical line of the Φ4 scalar field theory on a 4D cubic lattice in the local potential approximation
  J.-M. Caillol (Univ. Paris-Sud, Laboratoire LPT, UMR 8627, Orsay, F-91405, France; CNRS, Orsay, F-91405, France)

We establish the critical line of the one-component Φ4 (or Landau-Ginzburg) model on a simple four dimensional cubic lattice. Our study is performed in the framework of the non-perturbative renormalization group in the local potential approximation with a soft infra-red regulator. The transition is found to be of second order even in the Gaussian limit where first order would be expected according to some recent theoretical predictions.

Key words: non-perturbative renormalization group, local potential approximation, lattice Φ4 theory, numerical experiments
PACS: 02.30.Jr, 02.60.Lj, 05.10.Cc, 05.50.+q, 64.60.De

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