On Renormalized Hamiltonian Nets

Miyao, Tadahiro

Annales Henri Poincaré, 2022, 22(9), 2935-2973

Permalink : https://hdl.handle.net/2115/84088

このアイテムのアクセス数:205件（2026-01-14 07:25 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
Ann. Henri Poincare 22-9_2935-2973	pdf	535 KB	234

アクセス権	open access
URI	https://hdl.handle.net/2115/84088
タイトル	On Renormalized Hamiltonian Nets
著者	著者名 Miyao, Tadahiro
言語	英語
キーワード	Primary 47A63
	47D08
	46L60
	Secondary 47N50
	81T10
発行日	2022-02-15
出版者	Springer
収録物名	Annales Henri Poincaré
巻(号)	22(9)
ページ	2935-2973
抄録	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.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	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
PISSN	1424-0637
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1007/s00023-021-01029-0