{"publication_status":"published","external_id":{"arxiv":["2106.08659 "]},"volume":23,"article_type":"original","publisher":"Springer Science and Business Media LLC","page":"2819-2853","author":[{"full_name":"Hasler, David","first_name":"David","last_name":"Hasler"},{"last_name":"Hinrichs","first_name":"Benjamin","id":"99427","full_name":"Hinrichs, Benjamin","orcid":"0000-0001-9074-1205"},{"full_name":"Siebert, Oliver","last_name":"Siebert","first_name":"Oliver"}],"status":"public","title":"FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field","user_id":"99427","issue":"8","extern":"1","doi":"10.1007/s00023-022-01160-6","_id":"43492","year":"2022","citation":{"short":"D. Hasler, B. Hinrichs, O. Siebert, Annales Henri Poincaré 23 (2022) 2819–2853.","ieee":"D. Hasler, B. Hinrichs, and O. Siebert, “FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field,” <i>Annales Henri Poincaré</i>, vol. 23, no. 8, pp. 2819–2853, 2022, doi: <a href=\"https://doi.org/10.1007/s00023-022-01160-6\">10.1007/s00023-022-01160-6</a>.","chicago":"Hasler, David, Benjamin Hinrichs, and Oliver Siebert. “FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field.” <i>Annales Henri Poincaré</i> 23, no. 8 (2022): 2819–53. <a href=\"https://doi.org/10.1007/s00023-022-01160-6\">https://doi.org/10.1007/s00023-022-01160-6</a>.","mla":"Hasler, David, et al. “FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field.” <i>Annales Henri Poincaré</i>, vol. 23, no. 8, Springer Science and Business Media LLC, 2022, pp. 2819–53, doi:<a href=\"https://doi.org/10.1007/s00023-022-01160-6\">10.1007/s00023-022-01160-6</a>.","apa":"Hasler, D., Hinrichs, B., &#38; Siebert, O. (2022). FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field. <i>Annales Henri Poincaré</i>, <i>23</i>(8), 2819–2853. <a href=\"https://doi.org/10.1007/s00023-022-01160-6\">https://doi.org/10.1007/s00023-022-01160-6</a>","ama":"Hasler D, Hinrichs B, Siebert O. FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field. <i>Annales Henri Poincaré</i>. 2022;23(8):2819-2853. doi:<a href=\"https://doi.org/10.1007/s00023-022-01160-6\">10.1007/s00023-022-01160-6</a>","bibtex":"@article{Hasler_Hinrichs_Siebert_2022, title={FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field}, volume={23}, DOI={<a href=\"https://doi.org/10.1007/s00023-022-01160-6\">10.1007/s00023-022-01160-6</a>}, number={8}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Hasler, David and Hinrichs, Benjamin and Siebert, Oliver}, year={2022}, pages={2819–2853} }"},"publication_identifier":{"issn":["1424-0637","1424-0661"]},"language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"We consider the spin boson model with external magnetic field. We prove a path integral formula for the heat kernel, known as Feynman–Kac–Nelson (FKN) formula. We use this path integral representation to express the ground state energy as a stochastic integral. Based on this connection, we determine the expansion coefficients of the ground state energy with respect to the magnetic field strength and express them in terms of correlation functions of a continuous Ising model. From a recently proven correlation inequality, we can then deduce that the second order derivative is finite. As an application, we show existence of ground states in infrared-singular situations."}],"date_created":"2023-04-14T04:49:36Z","publication":"Annales Henri Poincaré","intvolume":"        23","date_updated":"2023-04-14T05:02:53Z","type":"journal_article"}