English

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

High Energy Physics - Lattice 2015-06-25 v1 Statistical Mechanics

Abstract

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.

Keywords

Cite

@article{arxiv.hep-lat/0109013,
  title  = {Specific heat and energy for the three-dimensional O(2) model},
  author = {S. Holtmann and J. Engels and T. Schulze},
  journal= {arXiv preprint arXiv:hep-lat/0109013},
  year   = {2015}
}

Comments

Lattice2001(spin), 3 pages, 4 figures