Vortex condensate and critical exponents in the $(2+1)$-dimensional $\mathrm{O}(2)$ model
Statistical Mechanics
2023-10-23 v2 High Energy Physics - Lattice
Abstract
The vortex in the -dimensional model is studied via numerical simulations in a fully non-perturbative lattice regularization. We compute the vortex condensate and susceptibility to determine its critical exponents and a renormalized condensate in the continuum limit. Together with recent results on the vortex mass, this gives a complete picture of the scaling behaviour of the vortex operator in this model and sheds light on the statistical mechanics of topological excitations.
Cite
@article{arxiv.2305.13156,
title = {Vortex condensate and critical exponents in the $(2+1)$-dimensional $\mathrm{O}(2)$ model},
author = {A. Mariani},
journal= {arXiv preprint arXiv:2305.13156},
year = {2023}
}
Comments
8 pages, 5 figures