{"department":[{"_id":"RoSe"}],"type":"journal_article","month":"10","day":"03","publisher":"Springer Nature","OA_place":"repository","abstract":[{"text":"We consider a tracer particle coupled to a Bose scalar field and study the regime where the field’s propagation speed approaches infinity. For initial states devoid of field excitations, we introduce an effective approximation of the time-evolved wave function and prove its validity in Hilbert space norm. In this approximation, the field remains in the vacuum state, while the tracer particle propagates with a modified dispersion relation. Physically, the new dispersion relation can be understood as the effect of radiative corrections due to interactions with virtual bosons. Mathematically, it is defined as the solution of a self-consistent nonlinear equation, whose form depends on the relevant time scale.","lang":"eng"}],"year":"2025","author":[{"last_name":"Cárdenas","first_name":"Esteban","full_name":"Cárdenas, Esteban"},{"full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas"}],"date_created":"2025-10-19T22:01:32Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2405.05251"}],"publication":"Annales Henri Poincare","status":"public","OA_type":"green","publication_status":"epub_ahead","_id":"20495","article_processing_charge":"No","language":[{"iso":"eng"}],"quality_controlled":"1","oa_version":"Preprint","external_id":{"arxiv":["2405.05251"]},"arxiv":1,"citation":{"chicago":"Cárdenas, Esteban, and David Johannes Mitrouskas. “Radiative Corrections to the Dynamics of a Tracer Particle Coupled to a Bose Ccalar Field.” <i>Annales Henri Poincare</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s00023-025-01626-3\">https://doi.org/10.1007/s00023-025-01626-3</a>.","apa":"Cárdenas, E., &#38; Mitrouskas, D. J. (2025). Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-025-01626-3\">https://doi.org/10.1007/s00023-025-01626-3</a>","ieee":"E. Cárdenas and D. J. Mitrouskas, “Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field,” <i>Annales Henri Poincare</i>. Springer Nature, 2025.","short":"E. Cárdenas, D.J. Mitrouskas, Annales Henri Poincare (2025).","mla":"Cárdenas, Esteban, and David Johannes Mitrouskas. “Radiative Corrections to the Dynamics of a Tracer Particle Coupled to a Bose Ccalar Field.” <i>Annales Henri Poincare</i>, Springer Nature, 2025, doi:<a href=\"https://doi.org/10.1007/s00023-025-01626-3\">10.1007/s00023-025-01626-3</a>.","ista":"Cárdenas E, Mitrouskas DJ. 2025. Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field. Annales Henri Poincare.","ama":"Cárdenas E, Mitrouskas DJ. Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field. <i>Annales Henri Poincare</i>. 2025. doi:<a href=\"https://doi.org/10.1007/s00023-025-01626-3\">10.1007/s00023-025-01626-3</a>"},"scopus_import":"1","date_updated":"2025-10-20T10:36:19Z","date_published":"2025-10-03T00:00:00Z","oa":1,"article_type":"original","title":"Radiative corrections to the dynamics of a tracer particle coupled to a Bose ccalar field","acknowledgement":"E.C. is deeply grateful to Robert Seiringer for his hospitality at ISTA, without which this project would not have been possible. E.C. is thankful to Thomas Chen for valuable comments and for pointing out useful references. E.C gratefully acknowledges support from the Provost’s Graduate Excellence Fellowship at The University of Texas at Austin and from the NSF grant DMS-2009549, and the NSF grant DMS-2009800 through T. Chen. This material is based upon work supported by the National Science Foundation under Grant No. DMS-1928930, while E.C was in residence at the Simons Laufer Mathematical Sciences Institute in Berkeley, California, during the Fall 2025 semester.","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"issn":["1424-0637"]},"doi":"10.1007/s00023-025-01626-3"}