Excitations of Ising Strings on a Lattice
High Energy Physics - Lattice
2023-05-31 v2 Statistical Mechanics
High Energy Physics - Theory
Abstract
The 3d Ising model in the low temperature (ferromagnetic) phase describes dynamics of two-dimensional surfaces -- domain walls between clusters of parallel spins. The Kramers--Wannier duality maps these surfaces into worldsheets of confining strings in the Wegner's gauge theory. We study the excitation spectrum of long Ising strings by simulating the gauge theory on a lattice. We observe a strong mixing between string excitations and the lightest glueball state and do not find indications for light massive resonances on the string worldsheet.
Keywords
Cite
@article{arxiv.2301.00034,
title = {Excitations of Ising Strings on a Lattice},
author = {Andreas Athenodorou and Sergei Dubovsky and Conghuan Luo and Michael Teper},
journal= {arXiv preprint arXiv:2301.00034},
year = {2023}
}
Comments
47 pages, 16 figures