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

Using standard numerical Monte Carlo lattice methods, we study non-universal properties of the phase transition of three-dimensional straight phi(4) theory of a two-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 integral d(3)x[1/2/inverted Delta phi/(2) + 1 2r phi(2)+(u/4!)phi(4)]. These values have applications to calculating the phase-transition temperature of dilute or weakly interacting Bose gases (both relativistic and nonrelativistic). 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.