[{"year":"2021","publisher":"Elsevier BV","date_created":"2023-04-14T04:50:01Z","title":"Correlation bound for a one-dimensional continuous long-range Ising model","publication":"Stochastic Processes and their Applications","abstract":[{"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.","lang":"eng"}],"external_id":{"arxiv":["2104.03013 "]},"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0304-4149"]},"publication_status":"published","intvolume":"       146","page":"60-79","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>","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>.","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>.","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>.","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} }","short":"D. Hasler, B. Hinrichs, O. Siebert, Stochastic Processes and Their Applications 146 (2021) 60–79.","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>"},"oa":"1","date_updated":"2026-01-16T09:03:28Z","volume":146,"author":[{"full_name":"Hasler, David","last_name":"Hasler","first_name":"David"},{"orcid":"0000-0001-9074-1205","last_name":"Hinrichs","full_name":"Hinrichs, Benjamin","id":"99427","first_name":"Benjamin"},{"full_name":"Siebert, Oliver","last_name":"Siebert","first_name":"Oliver"}],"doi":"10.1016/j.spa.2021.12.010","main_file_link":[{"open_access":"1"}],"type":"journal_article","status":"public","_id":"43493","user_id":"99427","article_type":"original","extern":"1"},{"publication_identifier":{"issn":["0010-3616","1432-0916"]},"publication_status":"published","page":"419-433","intvolume":"       388","citation":{"apa":"Hasler, D., Hinrichs, B., &#38; Siebert, O. (2021). On Existence of Ground States in the Spin Boson Model. <i>Communications in Mathematical Physics</i>, <i>388</i>(1), 419–433. <a href=\"https://doi.org/10.1007/s00220-021-04185-w\">https://doi.org/10.1007/s00220-021-04185-w</a>","bibtex":"@article{Hasler_Hinrichs_Siebert_2021, title={On Existence of Ground States in the Spin Boson Model}, volume={388}, DOI={<a href=\"https://doi.org/10.1007/s00220-021-04185-w\">10.1007/s00220-021-04185-w</a>}, number={1}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Hasler, David and Hinrichs, Benjamin and Siebert, Oliver}, year={2021}, pages={419–433} }","mla":"Hasler, David, et al. “On Existence of Ground States in the Spin Boson Model.” <i>Communications in Mathematical Physics</i>, vol. 388, no. 1, Springer Science and Business Media LLC, 2021, pp. 419–33, doi:<a href=\"https://doi.org/10.1007/s00220-021-04185-w\">10.1007/s00220-021-04185-w</a>.","short":"D. Hasler, B. Hinrichs, O. Siebert, Communications in Mathematical Physics 388 (2021) 419–433.","ama":"Hasler D, Hinrichs B, Siebert O. On Existence of Ground States in the Spin Boson Model. <i>Communications in Mathematical Physics</i>. 2021;388(1):419-433. doi:<a href=\"https://doi.org/10.1007/s00220-021-04185-w\">10.1007/s00220-021-04185-w</a>","chicago":"Hasler, David, Benjamin Hinrichs, and Oliver Siebert. “On Existence of Ground States in the Spin Boson Model.” <i>Communications in Mathematical Physics</i> 388, no. 1 (2021): 419–33. <a href=\"https://doi.org/10.1007/s00220-021-04185-w\">https://doi.org/10.1007/s00220-021-04185-w</a>.","ieee":"D. Hasler, B. Hinrichs, and O. Siebert, “On Existence of Ground States in the Spin Boson Model,” <i>Communications in Mathematical Physics</i>, vol. 388, no. 1, pp. 419–433, 2021, doi: <a href=\"https://doi.org/10.1007/s00220-021-04185-w\">10.1007/s00220-021-04185-w</a>."},"oa":"1","date_updated":"2026-01-16T09:02:44Z","volume":388,"author":[{"first_name":"David","last_name":"Hasler","full_name":"Hasler, David"},{"first_name":"Benjamin","last_name":"Hinrichs","orcid":"0000-0001-9074-1205","full_name":"Hinrichs, Benjamin","id":"99427"},{"full_name":"Siebert, Oliver","last_name":"Siebert","first_name":"Oliver"}],"doi":"10.1007/s00220-021-04185-w","main_file_link":[{"open_access":"1"}],"type":"journal_article","status":"public","_id":"43465","user_id":"99427","article_type":"original","extern":"1","issue":"1","year":"2021","publisher":"Springer Science and Business Media LLC","date_created":"2023-04-13T18:07:22Z","title":"On Existence of Ground States in the Spin Boson Model","publication":"Communications in Mathematical Physics","abstract":[{"text":"We show the existence of ground states in the massless spin boson model without any infrared regularization. Our proof is non-perturbative and relies on a compactness argument. It works for arbitrary values of the coupling constant under the hypothesis that the second derivative of the ground state energy as a function of a constant external magnetic field is bounded.","lang":"eng"}],"external_id":{"arxiv":["2102.13373"]},"language":[{"iso":"eng"}]}]