Journal article

Extended mean field study of complex φ4-theory at finite density and temperature

  • Akerlund, Oscar Institut für Theoretische Physik, ETH Zürich, Switzerland
  • Forcrand, Philippe de Institut für Theoretische Physik, ETH Zürich, Switzerland - Physics Department, CERN, TH Unit, Geneva, Switzerland
  • Georges, Antoine Centre de Physique Théorique, CNRS, École Polytechnique, Palaiseau, France - Collège de France, Paris, France - DPMC, Université de Genève, Switzerland
  • Werner, Philipp Department of Physics, University of Fribourg, Switzerland
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  • Physical Review D. - 2014, vol. 90, no. 6, p. 065008
English We review the extended mean field theory (EMFT) approximation and apply it to complex, scalar φ4 theory on the lattice. We study the critical properties of the Bose condensation driven by a nonzero chemical potential μ at both zero and nonzero temperature and determine the (T,μ) phase diagram. The results are in very good agreement with recent Monte Carlo data for all parameter values considered. EMFT can be formulated directly in the thermodynamic limit which allows us to study lattice spacings for which Monte Carlo studies are not feasible with present techniques. We find that the EMFT approximation accurately reproduces many known phenomena of the exact solution, like the “Silver Blaze” behavior at zero temperature and dimensional reduction at finite temperature.
Faculté des sciences et de médecine
Département de Physique
  • English
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