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On Renormalized Hamiltonian Nets
| Title: | On Renormalized Hamiltonian Nets |
| Authors: | Miyao, Tadahiro Browse this author |
| Keywords: | Primary 47A63 | | 47D08 | | 46L60 | | Secondary 47N50 | | 81T10 |
| Issue Date: | 15-Feb-2022 |
| Publisher: | Springer |
| Journal Title: | Annales Henri Poincaré |
| Volume: | 22 |
| Issue: | 9 |
| Start Page: | 2935 |
| End Page: | 2973 |
| Publisher DOI: | 10.1007/s00023-021-01029-0 |
| Abstract: | We propose an abstract framework describing energy-renormalized Hamiltonians in terms of local algebras. Within the framework, we examine the positivity improvingness of the semigroup generated by the renormalized Hamiltonian. As examples, we discuss the renormalized Nelson Hamiltonian and the renormalized Nelson Hamiltonian at fixed total momentum. The characteristic features of our approach are as follows: (i) in contrast with the probabilistic approach in the Schrodinger representation, our method works well in the Fock representation and (ii) the method covers the massless case. |
| Rights: | This is a post-peer-review, pre-copyedit version of an article published in Annales Henri Poincaré. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00023-021-01029-0 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/84088 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 宮尾 忠宏
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