Specific heat and energy for the three-dimensional O(2) model

Details Specific heat and energy for the three-dimensional O(2) model Specific heat and energy for the three-dimensional O(2) model

2001-09-19

arxiv.org/abs/hep-lat/0109013v1

Nucl.Phys.Proc.Suppl. 106 (2002) 893-895

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2001(spin), 3 pages, 4 figures

Scientific paper

We investigate the three-dimensional O(2) model on lattices of size 8^3 to 160^3 close to the critical point at zero magnetic field. We confirm explicitly the value of the critical coupling J_c found by Ballesteros et al. and estimate there the universal values of g_r and xi/L. At the critical point we study the finite size dependencies of the energy density epsilon and the specific heat C. We find that the nonsingular part of the specific heat C_{ns} is linearly dependent on 1/alpha. From the critical behaviour of the specific heat for T not T_c on the largest lattices we determine the universal amplitude ratio A+/A-. The alpha- dependence of this ratio is close to the phenomenological relation A+/A- = 1-4alpha.

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