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
Author(s):
 
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J.-M. Caillol
(Univ. Paris-Sud, Laboratoire LPT, UMR 8627, Orsay, F-91405, France; CNRS, Orsay, F-91405, France)
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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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