{"acknowledgement":"D.M. and K.M. thank Robert Seiringer for helpful discussions. Open access funding provided by Institute of Science and Technology (IST Austria). Financial support from the Agence Nationale de la Recherche (ANR) through the projects ANR-17-CE40-0016, ANR-17-CE40-0007-01, ANR-17-EURE-0002 (J.L.) and from the European Union’s Horizon 2020 research and innovation programme under the Maria Skłodowska-Curie grant agreement No. 665386 (K.M.) is gratefully acknowledged.","file_date_updated":"2023-08-23T10:59:15Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2023-12-13T12:16:19Z","type":"journal_article","oa_version":"Published Version","doi":"10.1007/s11040-023-09460-x","department":[{"_id":"RoSe"}],"article_type":"original","keyword":["Geometry and Topology","Mathematical Physics"],"status":"public","file":[{"date_created":"2023-08-23T10:59:15Z","date_updated":"2023-08-23T10:59:15Z","success":1,"creator":"dernst","access_level":"open_access","file_size":317026,"content_type":"application/pdf","relation":"main_file","file_id":"14225","file_name":"2023_MathPhysics_Lampart.pdf","checksum":"f0941cc66cb3ed06a12ca4b7e356cfd6"}],"_id":"14192","publication_status":"published","month":"07","date_created":"2023-08-22T14:09:47Z","external_id":{"isi":["001032992600001"],"arxiv":["2206.14708"]},"publisher":"Springer Nature","license":"https://creativecommons.org/licenses/by/4.0/","publication":"Mathematical Physics, Analysis and Geometry","issue":"3","ddc":["510"],"publication_identifier":{"issn":["1385-0172"],"eissn":["1572-9656"]},"article_processing_charge":"Yes (via OA deal)","title":"On the global minimum of the energy–momentum relation for the polaron","citation":{"ieee":"J. Lampart, D. J. Mitrouskas, and K. Mysliwy, “On the global minimum of the energy–momentum relation for the polaron,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 26, no. 3. Springer Nature, 2023.","apa":"Lampart, J., Mitrouskas, D. J., &#38; Mysliwy, K. (2023). On the global minimum of the energy–momentum relation for the polaron. <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11040-023-09460-x\">https://doi.org/10.1007/s11040-023-09460-x</a>","ama":"Lampart J, Mitrouskas DJ, Mysliwy K. On the global minimum of the energy–momentum relation for the polaron. <i>Mathematical Physics, Analysis and Geometry</i>. 2023;26(3). doi:<a href=\"https://doi.org/10.1007/s11040-023-09460-x\">10.1007/s11040-023-09460-x</a>","chicago":"Lampart, Jonas, David Johannes Mitrouskas, and Krzysztof Mysliwy. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s11040-023-09460-x\">https://doi.org/10.1007/s11040-023-09460-x</a>.","short":"J. Lampart, D.J. Mitrouskas, K. Mysliwy, Mathematical Physics, Analysis and Geometry 26 (2023).","mla":"Lampart, Jonas, et al. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 26, no. 3, 17, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s11040-023-09460-x\">10.1007/s11040-023-09460-x</a>.","ista":"Lampart J, Mitrouskas DJ, Mysliwy K. 2023. On the global minimum of the energy–momentum relation for the polaron. Mathematical Physics, Analysis and Geometry. 26(3), 17."},"intvolume":"        26","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"article_number":"17","has_accepted_license":"1","quality_controlled":"1","date_published":"2023-07-26T00:00:00Z","volume":26,"scopus_import":"1","isi":1,"year":"2023","oa":1,"abstract":[{"lang":"eng","text":"For the Fröhlich model of the large polaron, we prove that the ground state energy as a function of the total momentum has a unique global minimum at momentum zero. This implies the non-existence of a ground state of the translation invariant Fröhlich Hamiltonian and thus excludes the possibility of a localization transition at finite coupling."}],"language":[{"iso":"eng"}],"day":"26","author":[{"last_name":"Lampart","first_name":"Jonas","full_name":"Lampart, Jonas"},{"first_name":"David Johannes","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof","last_name":"Mysliwy"}]}