[{"issue":"10","publication":"Reviews in Mathematical Physics","abstract":[{"text":"We consider a model for a massive uncharged non-relativistic particle interacting with a massless bosonic field, widely referred to as the Nelson model. It is well known that an ultraviolet renormalized Hamilton operator exists in this case. Further, due to translation-invariance, it decomposes into fiber operators. In this paper, we treat the renormalized fiber operators. We give a description of the operator and form domains and prove that the fiber operators do not have a ground state. Our results hold for any non-zero coupling constant and arbitrary total momentum. Our proof for the absence of ground states is a new generalization of methods recently applied to related models. A major enhancement we provide is that the method can be applied to models with degenerate ground state eigenspaces.","lang":"eng"}],"extern":"1","date_created":"2023-04-14T04:49:00Z","type":"journal_article","title":"Absence of ground states in the renormalized massless translation-invariant Nelson model","year":"2022","author":[{"full_name":"Dam, Thomas Norman","first_name":"Thomas Norman","last_name":"Dam"},{"last_name":"Hinrichs","first_name":"Benjamin","orcid":"0000-0001-9074-1205","full_name":"Hinrichs, Benjamin","id":"99427"}],"publication_identifier":{"issn":["0129-055X","1793-6659"]},"date_updated":"2023-04-14T05:03:17Z","publication_status":"published","intvolume":"        34","article_type":"original","language":[{"iso":"eng"}],"doi":"10.1142/s0129055x22500337","citation":{"apa":"Dam, T. N., &#38; Hinrichs, B. (2022). Absence of ground states in the renormalized massless translation-invariant Nelson model. <i>Reviews in Mathematical Physics</i>, <i>34</i>(10). <a href=\"https://doi.org/10.1142/s0129055x22500337\">https://doi.org/10.1142/s0129055x22500337</a>","ieee":"T. N. Dam and B. Hinrichs, “Absence of ground states in the renormalized massless translation-invariant Nelson model,” <i>Reviews in Mathematical Physics</i>, vol. 34, no. 10, 2022, doi: <a href=\"https://doi.org/10.1142/s0129055x22500337\">10.1142/s0129055x22500337</a>.","short":"T.N. Dam, B. Hinrichs, Reviews in Mathematical Physics 34 (2022).","chicago":"Dam, Thomas Norman, and Benjamin Hinrichs. “Absence of Ground States in the Renormalized Massless Translation-Invariant Nelson Model.” <i>Reviews in Mathematical Physics</i> 34, no. 10 (2022). <a href=\"https://doi.org/10.1142/s0129055x22500337\">https://doi.org/10.1142/s0129055x22500337</a>.","mla":"Dam, Thomas Norman, and Benjamin Hinrichs. “Absence of Ground States in the Renormalized Massless Translation-Invariant Nelson Model.” <i>Reviews in Mathematical Physics</i>, vol. 34, no. 10, World Scientific Pub Co Pte Ltd, 2022, doi:<a href=\"https://doi.org/10.1142/s0129055x22500337\">10.1142/s0129055x22500337</a>.","ama":"Dam TN, Hinrichs B. Absence of ground states in the renormalized massless translation-invariant Nelson model. <i>Reviews in Mathematical Physics</i>. 2022;34(10). doi:<a href=\"https://doi.org/10.1142/s0129055x22500337\">10.1142/s0129055x22500337</a>","bibtex":"@article{Dam_Hinrichs_2022, title={Absence of ground states in the renormalized massless translation-invariant Nelson model}, volume={34}, DOI={<a href=\"https://doi.org/10.1142/s0129055x22500337\">10.1142/s0129055x22500337</a>}, number={10}, journal={Reviews in Mathematical Physics}, publisher={World Scientific Pub Co Pte Ltd}, author={Dam, Thomas Norman and Hinrichs, Benjamin}, year={2022} }"},"external_id":{"arxiv":["1909.07661"]},"status":"public","_id":"43491","publisher":"World Scientific Pub Co Pte Ltd","user_id":"99427","volume":34}]