{"title":"The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass","doi":"10.1007/s10240-024-00150-0","quality_controlled":"1","ddc":["530"],"date_updated":"2024-09-06T11:57:38Z","publication":"Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques","day":"26","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"main_file_link":[{"url":"https://doi.org/10.1007/s10240-024-00150-0","open_access":"1"}],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","_id":"17478","article_type":"original","scopus_import":"1","author":[{"first_name":"Morris","orcid":"0000-0002-6249-0928","full_name":"Brooks, Morris","last_name":"Brooks","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert"}],"publication_identifier":{"eissn":["1618-1913"],"issn":["0073-8301"]},"publication_status":"epub_ahead","date_created":"2024-09-01T22:01:08Z","status":"public","oa":1,"type":"journal_article","oa_version":"Published Version","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\r\nthe total momentum. The bound is asymptotically sharp at large coupling. In combination with a corresponding upper\r\nbound proved earlier (Mitrouskas et al. in Forum Math. Sigma 11:1–52, 2023), it shows that the energy is approximately\r\nparabolic 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.\r\n"}],"external_id":{"arxiv":["2211.03353"]},"language":[{"iso":"eng"}],"year":"2024","publisher":"Springer Nature","corr_author":"1","department":[{"_id":"RoSe"}],"article_processing_charge":"Yes (in subscription journal)","citation":{"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. doi:<a href=\"https://doi.org/10.1007/s10240-024-00150-0\">10.1007/s10240-024-00150-0</a>","short":"M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques (2024).","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.","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>, Springer Nature, 2024, 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>. Springer Nature, 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>"},"month":"08","date_published":"2024-08-26T00:00:00Z"}