English

Two- and three-point functions at criticality: Monte Carlo simulations of the three-dimensional $(q+1)$-state clock model

Statistical Mechanics 2021-02-03 v2 High Energy Physics - Lattice

Abstract

We simulate the improved (q+1)(q+1)-state clock model on the simple cubic lattice at the critical point on lattices of a linear size up to L=960L=960. We compute operator product expansion (OPE) coefficients for the three-dimensional XY universality class. These are compared with highly accurate estimates obtained by using the conformal bootstrap method. We find that the results are consistent.

Keywords

Cite

@article{arxiv.2010.05699,
  title  = {Two- and three-point functions at criticality: Monte Carlo simulations of the three-dimensional $(q+1)$-state clock model},
  author = {Martin Hasenbusch},
  journal= {arXiv preprint arXiv:2010.05699},
  year   = {2021}
}

Comments

24 pages, 7 figures, text extended, figures improved, figures 6 and 7 previously had, by mistake, data for direction d instead of f