---
_id: '43493'
abstract:
- lang: eng
  text: We consider a measure given as the continuum limit of a one-dimensional Ising
    model with long-range translationally invariant interactions. Mathematically,
    the measure can be described by a self-interacting Poisson driven jump process.
    We prove a correlation inequality, estimating the magnetic susceptibility of this
    model, which holds for small norm of the interaction function. The bound on the
    magnetic susceptibility has applications in quantum field theory and can be used
    to prove existence of ground states for the spin boson model.
article_type: original
author:
- first_name: David
  full_name: Hasler, David
  last_name: Hasler
- first_name: Benjamin
  full_name: Hinrichs, Benjamin
  id: '99427'
  last_name: Hinrichs
  orcid: 0000-0001-9074-1205
- first_name: Oliver
  full_name: Siebert, Oliver
  last_name: Siebert
citation:
  ama: Hasler D, Hinrichs B, Siebert O. Correlation bound for a one-dimensional continuous
    long-range Ising model. <i>Stochastic Processes and their Applications</i>. 2021;146:60-79.
    doi:<a href="https://doi.org/10.1016/j.spa.2021.12.010">10.1016/j.spa.2021.12.010</a>
  apa: Hasler, D., Hinrichs, B., &#38; Siebert, O. (2021). Correlation bound for a
    one-dimensional continuous long-range Ising model. <i>Stochastic Processes and
    Their Applications</i>, <i>146</i>, 60–79. <a href="https://doi.org/10.1016/j.spa.2021.12.010">https://doi.org/10.1016/j.spa.2021.12.010</a>
  bibtex: '@article{Hasler_Hinrichs_Siebert_2021, title={Correlation bound for a one-dimensional
    continuous long-range Ising model}, volume={146}, DOI={<a href="https://doi.org/10.1016/j.spa.2021.12.010">10.1016/j.spa.2021.12.010</a>},
    journal={Stochastic Processes and their Applications}, publisher={Elsevier BV},
    author={Hasler, David and Hinrichs, Benjamin and Siebert, Oliver}, year={2021},
    pages={60–79} }'
  chicago: 'Hasler, David, Benjamin Hinrichs, and Oliver Siebert. “Correlation Bound
    for a One-Dimensional Continuous Long-Range Ising Model.” <i>Stochastic Processes
    and Their Applications</i> 146 (2021): 60–79. <a href="https://doi.org/10.1016/j.spa.2021.12.010">https://doi.org/10.1016/j.spa.2021.12.010</a>.'
  ieee: 'D. Hasler, B. Hinrichs, and O. Siebert, “Correlation bound for a one-dimensional
    continuous long-range Ising model,” <i>Stochastic Processes and their Applications</i>,
    vol. 146, pp. 60–79, 2021, doi: <a href="https://doi.org/10.1016/j.spa.2021.12.010">10.1016/j.spa.2021.12.010</a>.'
  mla: Hasler, David, et al. “Correlation Bound for a One-Dimensional Continuous Long-Range
    Ising Model.” <i>Stochastic Processes and Their Applications</i>, vol. 146, Elsevier
    BV, 2021, pp. 60–79, doi:<a href="https://doi.org/10.1016/j.spa.2021.12.010">10.1016/j.spa.2021.12.010</a>.
  short: D. Hasler, B. Hinrichs, O. Siebert, Stochastic Processes and Their Applications
    146 (2021) 60–79.
date_created: 2023-04-14T04:50:01Z
date_updated: 2026-01-16T09:03:28Z
doi: 10.1016/j.spa.2021.12.010
extern: '1'
external_id:
  arxiv:
  - '2104.03013 '
intvolume: '       146'
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
page: 60-79
publication: Stochastic Processes and their Applications
publication_identifier:
  issn:
  - 0304-4149
publication_status: published
publisher: Elsevier BV
status: public
title: Correlation bound for a one-dimensional continuous long-range Ising model
type: journal_article
user_id: '99427'
volume: 146
year: '2021'
...