Correlation bound for a one-dimensional continuous long-range Ising model
D. Hasler, B. Hinrichs, O. Siebert, Stochastic Processes and Their Applications 146 (2021) 60–79.
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Hasler, David;
Hinrichs, BenjaminLibreCat 
;
Siebert, Oliver
;
Siebert, OliverAbstract
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.
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Journal Title
Stochastic Processes and their Applications
Volume
146
Page
60-79
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Hasler D, Hinrichs B, Siebert O. Correlation bound for a one-dimensional continuous long-range Ising model. Stochastic Processes and their Applications. 2021;146:60-79. doi:10.1016/j.spa.2021.12.010
Hasler, D., Hinrichs, B., & Siebert, O. (2021). Correlation bound for a one-dimensional continuous long-range Ising model. Stochastic Processes and Their Applications, 146, 60–79. https://doi.org/10.1016/j.spa.2021.12.010
@article{Hasler_Hinrichs_Siebert_2021, title={Correlation bound for a one-dimensional continuous long-range Ising model}, volume={146}, DOI={10.1016/j.spa.2021.12.010}, journal={Stochastic Processes and their Applications}, publisher={Elsevier BV}, author={Hasler, David and Hinrichs, Benjamin and Siebert, Oliver}, year={2021}, pages={60–79} }
Hasler, David, Benjamin Hinrichs, and Oliver Siebert. “Correlation Bound for a One-Dimensional Continuous Long-Range Ising Model.” Stochastic Processes and Their Applications 146 (2021): 60–79. https://doi.org/10.1016/j.spa.2021.12.010.
D. Hasler, B. Hinrichs, and O. Siebert, “Correlation bound for a one-dimensional continuous long-range Ising model,” Stochastic Processes and their Applications, vol. 146, pp. 60–79, 2021, doi: 10.1016/j.spa.2021.12.010.
Hasler, David, et al. “Correlation Bound for a One-Dimensional Continuous Long-Range Ising Model.” Stochastic Processes and Their Applications, vol. 146, Elsevier BV, 2021, pp. 60–79, doi:10.1016/j.spa.2021.12.010.
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