A numerical study of Goldstone-mode effects and scaling functions of the three-dimensional O(2) model

Engels J, Holtmann S, Mendes T, Schulze T. A numerical study of Goldstone-mode effects and scaling functions of the three-dimensional O(2) model. In: Nuclear Physics B - Proceedings Supplements. Nucl. Phys. Proc. Suppl. Vol 94. ELSEVIER SCIENCE BV; 2001: 861-864.We investigate numerically the three-dimensional O(2) model on 8(3) - 160(3) lattices as a function of the magnetic field H. In the low-temperature phase we verify the H-dependence of the magnetization hi induced by the Goldstone modes and determine M in the thermodynamic limit on the coexistence line both by extrapolation and by chiral perturbation theory. We compute two critical amplitudes from the scaling behaviours on the coexistence line and on the critical line. In both cases we find negative corrections to scaling. With additional high temperature data we calculate the scaling function and show that it has a smaller slope than that of the O(4) model. For future tests of QCD lattice data we study as well finite-size-scaling functions