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      Monte Carlo simulation of O(2) phi^4 field theory in three dimensions

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          Abstract

          Using standard numerical Monte Carlo lattice methods, we study non-universal properties of the phase transition of three-dimensional phi^4 theory of a 2-component real field phi = (phi_1,phi_2) with O(2) symmetry. Specifically, we extract the renormalized values of <phi^2>/u and r/u^2 at the phase transition, where the continuum action of the theory is \int d^3x [ (1/2) |\grad\phi|^2 + \half r \phi^2 + {u\over4!} \phi^4 ]. These values have applications to calculating the phase transition temperature of dilute or weakly-interacting Bose gases (both relativistic and non-relativistic). In passing, we also provide perturbative calculations of various O(a) lattice-spacing errors in three-dimensional O(N) scalar field theory, where (a) is the lattice spacing.

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          Author and article information

          Journal
          09 March 2001
          2003-07-24
          Article
          10.1103/PhysRevE.64.066113 10.1103/PhysRevE68.049902
          cond-mat/0103227
          2d370ca3-3c87-46f9-b320-47ac3892a25f
          History
          Custom metadata
          UW/PT 01-07
          Phys.Rev.E64:066113,2001; Erratum-ibid.E68:049902,2003
          44 pages. Modifications: some typos in equations fixed since original journal version but results are unchanged
          cond-mat hep-lat

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