[{"oa":1,"page":"271-309","OA_place":"publisher","volume":140,"quality_controlled":"1","publication_identifier":{"issn":["0073-8301"],"eissn":["1618-1913"]},"external_id":{"isi":["001297785000001"],"arxiv":["2211.03353"]},"month":"12","scopus_import":"1","_id":"17478","title":"The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass","file_date_updated":"2025-01-13T08:13:42Z","publication":"Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques","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"},"isi":1,"arxiv":1,"type":"journal_article","date_updated":"2025-09-08T09:08:36Z","date_created":"2024-09-01T22:01:08Z","day":"01","publication_status":"published","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","article_type":"original","department":[{"_id":"RoSe"}],"file":[{"file_id":"18824","creator":"dernst","date_updated":"2025-01-13T08:13:42Z","file_size":924342,"date_created":"2025-01-13T08:13:42Z","file_name":"2024_PublicMathIHES_Brooks.pdf","access_level":"open_access","relation":"main_file","success":1,"content_type":"application/pdf","checksum":"af3becc50f7534c9409d3ff8b5c47ed6"}],"abstract":[{"lang":"eng","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."}],"doi":"10.1007/s10240-024-00150-0","corr_author":"1","ddc":["510"],"oa_version":"Published Version","article_processing_charge":"Yes (in subscription journal)","publisher":"Springer Nature","status":"public","has_accepted_license":"1","language":[{"iso":"eng"}],"intvolume":"       140","citation":{"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>.","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.","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>","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>","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>.","short":"M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques 140 (2024) 271–309.","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."},"author":[{"orcid":"0000-0002-6249-0928","first_name":"Morris","full_name":"Brooks, Morris","last_name":"Brooks","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert"}],"year":"2024","date_published":"2024-12-01T00:00:00Z","OA_type":"hybrid"}]