Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-06-26
Phys.Lett. B492 (2000) 219-227
Physics
High Energy Physics
High Energy Physics - Lattice
15 pages, Latex2e, Fig.6b replaced, several comments and two references added, final version for Phys. Lett. B
Scientific paper
10.1016/S0370-2693(00)01079-0
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 M induced by Goldstone modes and determine M in the thermodynamic limit both by extrapolation and by chiral perturbation theory. This enables us to calculate the corresponding critical amplitude. At T_c the critical scaling behaviour of the magnetization as a function of H is used to determine another critical amplitude. In both cases we find negative corrections-to-scaling. Our low-temperature results are well described by the perturbative form of the model's magnetic equation of state, with coefficients determined nonperturbatively from our data. The O(2) scaling function for the magnetization is found to have a smaller slope than the one for the O(4) model.
Engels Juergen
Holtmann Sven
Mendes Tereza
Schulze Thomas
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