2006年12月
Infrared catastrophe for Nelson's model - Non-existence of ground state and soft-boson divergence
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES
- 巻
- 42
- 号
- 4
- 開始ページ
- 897
- 終了ページ
- 922
- 記述言語
- 英語
- 掲載種別
- 研究論文（学術雑誌）
- 出版者・発行元
- KYOTO UNIV
We mathematically study the infrared catastrophe for the Hamiltonian of Nelson's model when it has the external potential in a general class. For the model, we prove the pull-through formula on ground states in operator theory first. Based on this formula, we show both non-existence of any ground state and divergence of the total number of soft bosons.
- リンク情報
-
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000243888400002&DestApp=WOS_CPL
- URL
- http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000243888400002
- ID情報
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- ISSN : 0034-5318
- Web of Science ID : WOS:000243888400002