論文

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
  • Masao Hirokawa

42
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.

Web of Science ® 被引用回数 : 13

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

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