[{"date_published":"2025-04-28T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"citation":{"mla":"Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson Model in the Weak Coupling Limit.” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 58, no. 17, 175201, IOP Publishing, 2025, doi:<a href=\"https://doi.org/10.1088/1751-8121/adcdd9\">10.1088/1751-8121/adcdd9</a>.","apa":"Cárdenas, E., &#38; Mitrouskas, D. J. (2025). The renormalized Nelson model in the weak coupling limit. <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1751-8121/adcdd9\">https://doi.org/10.1088/1751-8121/adcdd9</a>","short":"E. Cárdenas, D.J. Mitrouskas, Journal of Physics A: Mathematical and Theoretical 58 (2025).","ieee":"E. Cárdenas and D. J. Mitrouskas, “The renormalized Nelson model in the weak coupling limit,” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 58, no. 17. IOP Publishing, 2025.","ama":"Cárdenas E, Mitrouskas DJ. The renormalized Nelson model in the weak coupling limit. <i>Journal of Physics A: Mathematical and Theoretical</i>. 2025;58(17). doi:<a href=\"https://doi.org/10.1088/1751-8121/adcdd9\">10.1088/1751-8121/adcdd9</a>","chicago":"Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson Model in the Weak Coupling Limit.” <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing, 2025. <a href=\"https://doi.org/10.1088/1751-8121/adcdd9\">https://doi.org/10.1088/1751-8121/adcdd9</a>.","ista":"Cárdenas E, Mitrouskas DJ. 2025. The renormalized Nelson model in the weak coupling limit. Journal of Physics A: Mathematical and Theoretical. 58(17), 175201."},"ddc":["530"],"status":"public","OA_type":"hybrid","isi":1,"doi":"10.1088/1751-8121/adcdd9","month":"04","abstract":[{"text":"The Nelson model describes non-relativistic particles coupled to a relativistic Bose scalar field. In this article, we study the renormalized version of the Nelson model with massless bosons in Davies' weak coupling limit. Our main result states that the two-body Coulomb potential emerges as an effective pair interaction between the particles, which arises from the exchange of virtual excitations of the quantum field.","lang":"eng"}],"oa_version":"Published Version","external_id":{"arxiv":["2412.01670"],"isi":["001474094200001"]},"type":"journal_article","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2025-09-30T12:24:45Z","fulldoi":"https://doi.org/10.1088/1751-8121/adcdd9","issue":"17","publication_status":"published","article_number":"175201","has_accepted_license":"1","article_processing_charge":"Yes (in subscription journal)","department":[{"_id":"RoSe"}],"date_created":"2025-05-11T22:02:37Z","_id":"19661","file_date_updated":"2025-05-12T07:13:07Z","publisher":"IOP Publishing","publication_identifier":{"issn":["1751-8113"],"eissn":["1751-8121"]},"scopus_import":"1","file":[{"relation":"main_file","creator":"dernst","file_id":"19675","access_level":"open_access","success":1,"checksum":"a181e1c2d8df08eb683a355e81c5e85a","file_size":551190,"content_type":"application/pdf","date_created":"2025-05-12T07:13:07Z","file_name":"2025_JourPhysicsA_Cardenas.pdf","date_updated":"2025-05-12T07:13:07Z"}],"quality_controlled":"1","title":"The renormalized Nelson model in the weak coupling limit","author":[{"first_name":"Esteban","full_name":"Cárdenas, Esteban","last_name":"Cárdenas"},{"first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas"}],"article_type":"original","publication":"Journal of Physics A: Mathematical and Theoretical","volume":58,"day":"28","arxiv":1,"acknowledgement":"D M thanks Nataˇsa Pavlovi´c for the invitation to the University of Texas at Austin and for the\r\nhospitality offered by the department, where part of this work was performed. E C gratefully\r\nacknowledges support from NSF under Grant Nos DMS-2009549 and DMS-2052789 through\r\nNataˇsa Pavlovi´","year":"2025","language":[{"iso":"eng"}],"corr_author":"1","OA_place":"publisher","oa":1,"intvolume":"        58"},{"author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","last_name":"Henheik","orcid":"0000-0003-1106-327X","first_name":"Sven Joscha"},{"last_name":"Tumulka","full_name":"Tumulka, Roderich","first_name":"Roderich"}],"article_type":"original","quality_controlled":"1","title":"Creation rate of Dirac particles at a point source","scopus_import":"1","file":[{"success":1,"checksum":"5b68de147dd4c608b71a6e0e844d2ce9","relation":"main_file","creator":"dernst","file_id":"14429","access_level":"open_access","file_size":721399,"content_type":"application/pdf","date_created":"2023-10-16T07:07:24Z","date_updated":"2023-10-16T07:07:24Z","file_name":"2023_JourPhysics_Henheik.pdf"}],"publisher":"IOP Publishing","publication_identifier":{"issn":["1751-8113"],"eissn":["1751-8121"]},"date_created":"2023-10-12T12:42:53Z","_id":"14421","file_date_updated":"2023-10-16T07:07:24Z","intvolume":"        56","oa":1,"language":[{"iso":"eng"}],"corr_author":"1","year":"2023","arxiv":1,"day":"11","acknowledgement":"J H gratefully acknowledges partial financial support by the ERC Advanced Grant 'RMTBeyond' No. 101020331.","volume":56,"publication":"Journal of Physics A: Mathematical and Theoretical","external_id":{"isi":["001080908000001"],"arxiv":["2211.16606"]},"type":"journal_article","oa_version":"Published Version","abstract":[{"lang":"eng","text":"Only recently has it been possible to construct a self-adjoint Hamiltonian that involves the creation of Dirac particles at a point source in 3d space. Its definition makes use of an interior-boundary condition. Here, we develop for this Hamiltonian a corresponding theory of the Bohmian configuration. That is, we (non-rigorously) construct a Markov jump process $(Q_t)_{t\\in\\mathbb{R}}$ in the configuration space of a variable number of particles that is $|\\psi_t|^2$-distributed at every time t and follows Bohmian trajectories between the jumps. The jumps correspond to particle creation or annihilation events and occur either to or from a configuration with a particle located at the source. The process is the natural analog of Bell's jump process, and a central piece in its construction is the determination of the rate of particle creation. The construction requires an analysis of the asymptotic behavior of the Bohmian trajectories near the source. We find that the particle reaches the source with radial speed 0, but orbits around the source infinitely many times in finite time before absorption (or after emission)."}],"related_material":{"record":[{"status":"public","id":"19540","relation":"dissertation_contains"}]},"month":"10","doi":"10.1088/1751-8121/acfe62","isi":1,"status":"public","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"ddc":["510"],"citation":{"ieee":"S. J. Henheik and R. Tumulka, “Creation rate of Dirac particles at a point source,” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 56, no. 44. IOP Publishing, 2023.","short":"S.J. Henheik, R. Tumulka, Journal of Physics A: Mathematical and Theoretical 56 (2023).","chicago":"Henheik, Sven Joscha, and Roderich Tumulka. “Creation Rate of Dirac Particles at a Point Source.” <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing, 2023. <a href=\"https://doi.org/10.1088/1751-8121/acfe62\">https://doi.org/10.1088/1751-8121/acfe62</a>.","ama":"Henheik SJ, Tumulka R. Creation rate of Dirac particles at a point source. <i>Journal of Physics A: Mathematical and Theoretical</i>. 2023;56(44). doi:<a href=\"https://doi.org/10.1088/1751-8121/acfe62\">10.1088/1751-8121/acfe62</a>","ista":"Henheik SJ, Tumulka R. 2023. Creation rate of Dirac particles at a point source. Journal of Physics A: Mathematical and Theoretical. 56(44), 445201.","mla":"Henheik, Sven Joscha, and Roderich Tumulka. “Creation Rate of Dirac Particles at a Point Source.” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 56, no. 44, 445201, IOP Publishing, 2023, doi:<a href=\"https://doi.org/10.1088/1751-8121/acfe62\">10.1088/1751-8121/acfe62</a>.","apa":"Henheik, S. J., &#38; Tumulka, R. (2023). Creation rate of Dirac particles at a point source. <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1751-8121/acfe62\">https://doi.org/10.1088/1751-8121/acfe62</a>"},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"date_published":"2023-10-11T00:00:00Z","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","article_number":"445201","date_updated":"2026-07-29T13:18:16Z","fulldoi":"https://doi.org/10.1088/1751-8121/acfe62","issue":"44","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","ec_funded":1},{"oa_version":"Published Version","external_id":{"arxiv":["2107.03720"]},"type":"journal_article","month":"01","abstract":[{"text":"We provide a definition of the effective mass for the classical polaron described by the Landau–Pekar (LP) equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by LP (1948 J. Exp. Theor. Phys. 18 419–423).","lang":"eng"}],"related_material":{"record":[{"status":"public","id":"9791","relation":"earlier_version"}]},"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"status":"public","doi":"10.1088/1751-8121/ac3947","date_published":"2022-01-19T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"citation":{"chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing, 2022. <a href=\"https://doi.org/10.1088/1751-8121/ac3947\">https://doi.org/10.1088/1751-8121/ac3947</a>.","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2022. The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. 55(1), 015201.","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. <i>Journal of Physics A: Mathematical and Theoretical</i>. 2022;55(1). doi:<a href=\"https://doi.org/10.1088/1751-8121/ac3947\">10.1088/1751-8121/ac3947</a>","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 55, no. 1. IOP Publishing, 2022.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Journal of Physics A: Mathematical and Theoretical 55 (2022).","apa":"Feliciangeli, D., Rademacher, S. A. E., &#38; Seiringer, R. (2022). The effective mass problem for the Landau-Pekar equations. <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1751-8121/ac3947\">https://doi.org/10.1088/1751-8121/ac3947</a>","mla":"Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 55, no. 1, 015201, IOP Publishing, 2022, doi:<a href=\"https://doi.org/10.1088/1751-8121/ac3947\">10.1088/1751-8121/ac3947</a>."},"ddc":["510"],"has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"RoSe"}],"article_number":"015201","ec_funded":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2025-04-15T06:54:54Z","fulldoi":"https://doi.org/10.1088/1751-8121/ac3947","publication_status":"published","issue":"1","quality_controlled":"1","title":"The effective mass problem for the Landau-Pekar equations","article_type":"original","author":[{"full_name":"Feliciangeli, Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli","first_name":"Dario","orcid":"0000-0003-0754-8530"},{"orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert"}],"publisher":"IOP Publishing","publication_identifier":{"issn":["1751-8113"],"eissn":["1751-8121"]},"scopus_import":"1","file":[{"checksum":"0875e562705563053d6dd98fba4d8578","success":1,"access_level":"open_access","file_id":"10757","creator":"dernst","relation":"main_file","date_updated":"2022-02-14T08:20:19Z","file_name":"2022_JournalPhysicsA_Feliciangeli.pdf","date_created":"2022-02-14T08:20:19Z","content_type":"application/pdf","file_size":1132380}],"_id":"10755","date_created":"2022-02-13T23:01:35Z","file_date_updated":"2022-02-14T08:20:19Z","oa":1,"intvolume":"        55","year":"2022","language":[{"iso":"eng"}],"corr_author":"1","arxiv":1,"day":"19","acknowledgement":"We thank Herbert Spohn for helpful comments. Funding from the European Union’s Horizon\r\n2020 research and innovation programme under the ERC Grant Agreement No. 694227\r\n(DF and RS) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (SR) is\r\ngratefully acknowledged.","volume":55,"publication":"Journal of Physics A: Mathematical and Theoretical"}]