The Lattice-Continuum Correspondence in the Ising Model
High Energy Physics - Theory
2020-02-04 v2 Statistical Mechanics
Strongly Correlated Electrons
High Energy Physics - Lattice
Abstract
Starting from the operator algebra of the (1+1)D Ising model on a spatial lattice, this paper explicitly constructs a subalgebra of smooth operators that are natural candidates for continuum fields in the scaling limit. At the critical value of the transverse field, these smooth operators are analytically shown to reproduce the operator product expansions found in the Ising conformal field theory.
Cite
@article{arxiv.1912.13462,
title = {The Lattice-Continuum Correspondence in the Ising Model},
author = {Djordje Radicevic},
journal= {arXiv preprint arXiv:1912.13462},
year = {2020}
}
Comments
8 pages + appendices, v2: added some corrections, clarifications, and references