{"month":"07","citation":{"ieee":"D. Desio and R. Seiringer, “Dyson expansion for form-bounded perturbations and applications to the polaron problem,” <i>Letters in Mathematical Physics</i>, vol. 116, no. 4. Springer Nature, 2026.","mla":"Desio, Davide, and Robert Seiringer. “Dyson Expansion for Form-Bounded Perturbations and Applications to the Polaron Problem.” <i>Letters in Mathematical Physics</i>, vol. 116, no. 4, 87, Springer Nature, 2026, doi:<a href=\"https://doi.org/10.1007/s11005-026-02107-2\">10.1007/s11005-026-02107-2</a>.","ista":"Desio D, Seiringer R. 2026. Dyson expansion for form-bounded perturbations and applications to the polaron problem. Letters in Mathematical Physics. 116(4), 87.","ama":"Desio D, Seiringer R. Dyson expansion for form-bounded perturbations and applications to the polaron problem. <i>Letters in Mathematical Physics</i>. 2026;116(4). doi:<a href=\"https://doi.org/10.1007/s11005-026-02107-2\">10.1007/s11005-026-02107-2</a>","short":"D. Desio, R. Seiringer, Letters in Mathematical Physics 116 (2026).","apa":"Desio, D., &#38; Seiringer, R. (2026). Dyson expansion for form-bounded perturbations and applications to the polaron problem. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-026-02107-2\">https://doi.org/10.1007/s11005-026-02107-2</a>","chicago":"Desio, Davide, and Robert Seiringer. “Dyson Expansion for Form-Bounded Perturbations and Applications to the Polaron Problem.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2026. <a href=\"https://doi.org/10.1007/s11005-026-02107-2\">https://doi.org/10.1007/s11005-026-02107-2</a>."},"publication_identifier":{"issn":["1573-0530"]},"type":"journal_article","doi":"10.1007/s11005-026-02107-2","day":"17","abstract":[{"lang":"eng","text":"We present an abstract Dyson expansion for perturbations that are merely relatively form-bounded, and apply it to the polaron problem. For a large class of polaron-type models, including the Fröhlich and Nelson models, we prove that the vacuum expectation value of the heat semi-group is a completely monotone function of the square of the total momentum. Consequently, the ground-state energy is a concave function of the square of the momentum, a result recently proved for the Fröhlich model in [14] using a probabilistic approach via Wiener integrals."}],"arxiv":1,"oa_version":"Published Version","file":[{"file_size":371840,"date_created":"2026-08-04T05:55:58Z","content_type":"application/pdf","file_id":"22641","relation":"main_file","access_level":"open_access","creator":"dernst","checksum":"1b90ff7da16b9604d6fe2c6281493456","file_name":"2026_LettersMathPhysics_Desio.pdf","success":1,"date_updated":"2026-08-04T05:55:58Z"}],"date_published":"2026-07-17T00:00:00Z","researchdata_availability":"no","date_updated":"2026-08-04T05:57:21Z","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).","article_type":"original","ddc":["510"],"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"title":"Dyson expansion for form-bounded perturbations and applications to the polaron problem","external_id":{"arxiv":["2512.13443"]},"status":"public","OA_place":"publisher","quality_controlled":"1","author":[{"first_name":"Davide","id":"ea10a57b-23f6-11ef-9085-80d8596d52ef","orcid":"0000-0001-9840-3809","full_name":"Desio, Davide","last_name":"Desio"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_number":"87","department":[{"_id":"RoSe"},{"_id":"GradSch"}],"language":[{"iso":"eng"}],"_id":"22639","publisher":"Springer Nature","das_tickbox":"0","date_created":"2026-08-03T13:21:14Z","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","file_date_updated":"2026-08-04T05:55:58Z","year":"2026","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","volume":116,"oa":1,"has_accepted_license":"1","OA_type":"hybrid","publication_status":"published","PlanS_conform":"1","intvolume":"       116","corr_author":"1","publication":"Letters in Mathematical Physics","supplementarymaterial":"no","issue":"4"}