article published David Hasler author Benjamin Hinrichs author 994270000-0001-9074-1205 Oliver Siebert author 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. Elsevier BV2021 eng 0304-4149 2104.03013 10.1016/j.spa.2021.12.010 14660-79 yes 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>. @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} } 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> 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>. 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> 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>. D. Hasler, B. Hinrichs, O. Siebert, Stochastic Processes and Their Applications 146 (2021) 60–79. 434932023-04-14T04:50:01Z2026-01-16T09:03:28Z