English

Finite density 2d O(3) sigma model: dualization and numerical simulations

High Energy Physics - Lattice 2018-12-26 v2 Statistical Mechanics

Abstract

The action of the 2d O(3) non-linear sigma model on the lattice in a bath of particles, when expressed in terms of standard O(3) degrees of freedom, is complex. A reformulation of the model in terms of new variables that makes the action real is presented. This reshaping enables us to utilize Monte Carlo simulations based on usual importance sampling. Several observables, including the correlation function and the mass gap, are measured.

Keywords

Cite

@article{arxiv.1808.07810,
  title  = {Finite density 2d O(3) sigma model: dualization and numerical simulations},
  author = {B. Alles and O. Borisenko and Alessandro Papa},
  journal= {arXiv preprint arXiv:1808.07810},
  year   = {2018}
}

Comments

Revised version (identical to the one to be published in PRD). It contains a few extra figures

R2 v1 2026-06-23T03:42:06.426Z