[{"OA_type":"hybrid","date_published":"2024-12-01T00:00:00Z","year":"2024","intvolume":"       140","author":[{"last_name":"Brooks","full_name":"Brooks, Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","orcid":"0000-0002-6249-0928","first_name":"Morris"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert"}],"citation":{"ista":"Brooks M, Seiringer R. 2024. The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass. Publications Mathematiques de l’Institut des Hautes Etudes Scientifiques. 140, 271–309.","short":"M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques 140 (2024) 271–309.","chicago":"Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part II — Energy-Momentum Relation and Effective Mass.” <i>Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s10240-024-00150-0\">https://doi.org/10.1007/s10240-024-00150-0</a>.","ama":"Brooks M, Seiringer R. The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass. <i>Publications Mathematiques de l’Institut des Hautes Etudes Scientifiques</i>. 2024;140:271-309. doi:<a href=\"https://doi.org/10.1007/s10240-024-00150-0\">10.1007/s10240-024-00150-0</a>","apa":"Brooks, M., &#38; Seiringer, R. (2024). The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass. <i>Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10240-024-00150-0\">https://doi.org/10.1007/s10240-024-00150-0</a>","ieee":"M. Brooks and R. Seiringer, “The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass,” <i>Publications Mathematiques de l’Institut des Hautes Etudes Scientifiques</i>, vol. 140. Springer Nature, pp. 271–309, 2024.","mla":"Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part II — Energy-Momentum Relation and Effective Mass.” <i>Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques</i>, vol. 140, Springer Nature, 2024, pp. 271–309, doi:<a href=\"https://doi.org/10.1007/s10240-024-00150-0\">10.1007/s10240-024-00150-0</a>."},"language":[{"iso":"eng"}],"status":"public","has_accepted_license":"1","publisher":"Springer Nature","article_processing_charge":"Yes (in subscription journal)","ddc":["510"],"doi":"10.1007/s10240-024-00150-0","corr_author":"1","oa_version":"Published Version","file":[{"access_level":"open_access","relation":"main_file","file_name":"2024_PublicMathIHES_Brooks.pdf","date_created":"2025-01-13T08:13:42Z","content_type":"application/pdf","success":1,"checksum":"af3becc50f7534c9409d3ff8b5c47ed6","file_id":"18824","creator":"dernst","date_updated":"2025-01-13T08:13:42Z","file_size":924342}],"abstract":[{"text":"We study the Fröhlich polaron model in R3, and prove a lower bound on its ground state energy as a function of the total momentum. The bound is asymptotically sharp at large coupling. In combination with a corresponding upper bound proved earlier (Mitrouskas et al. in Forum Math. Sigma 11:1–52, 2023), it shows that the energy is approximately parabolic below the continuum threshold, and that the polaron’s effective mass (defined as the semi-latus rectum of the\r\nparabola) is given by the celebrated Landau–Pekar formula. In particular, it diverges as α4 for large coupling constant α.","lang":"eng"}],"publication_status":"published","department":[{"_id":"RoSe"}],"article_type":"original","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","day":"01","date_created":"2024-09-01T22:01:08Z","date_updated":"2025-09-08T09:08:36Z","arxiv":1,"type":"journal_article","isi":1,"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"file_date_updated":"2025-01-13T08:13:42Z","publication":"Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques","title":"The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass","_id":"17478","month":"12","scopus_import":"1","quality_controlled":"1","external_id":{"arxiv":["2211.03353"],"isi":["001297785000001"]},"publication_identifier":{"issn":["0073-8301"],"eissn":["1618-1913"]},"OA_place":"publisher","page":"271-309","oa":1,"volume":140}]