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    Université de Fribourg

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

    Akerlund, Oscar ; Forcrand, Philippe de ; Georges, Antoine ; Werner, Philipp

    In: Physical Review D, 2014, vol. 90, no. 6, p. 065008

    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...

    Université de Fribourg

    Dynamical mean field approximation applied to quantum field theory

    Akerlund, Oscar ; Forcrand, Philippe de ; Georges, Antoine ; Werner, Philipp

    In: Physical Review D, 2013, vol. 88, no. 12, p. 125006

    We apply the dynamical mean field theory (DMFT) approximation to the real, scalar φ4 quantum field theory. By comparing to lattice Monte Carlo calculations, perturbation theory and standard mean field theory, we test the quality of the approximation in two, three, four and five dimensions. The quantities considered in these tests are the critical coupling for the transition to the ordered phase...