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Ground State of the Massless Nelson Model Without Infrared Cutoff in a Non-Fock Representation
| Title: | Ground State of the Massless Nelson Model Without Infrared Cutoff in a Non-Fock Representation |
| Authors: | Arai, Asao Browse this author →KAKEN DB |
| Keywords: | Nelson's model | | massless quantum field | | infrared divergence | | ground state | | canonical commutation relations | | non-Fock representation |
| Issue Date: | Sep-2001 |
| Publisher: | World Scientific Publishing Company |
| Journal Title: | Reviews in Mathematical Physics |
| Volume: | 13 |
| Issue: | 9 |
| Start Page: | 1075 |
| End Page: | 1094 |
| Publisher DOI: | 10.1142/S0129055X01000934 |
| Abstract: | We consider a model of quantum particles coupled to a massless quantum scalar field, called the massless Nelson model, in a non-Fock representation of the timezero fields which satisfy the canonical commutation relations. We show that the model has a ground state for all values of the coupling constant even in the case where no infrared cutoff is made. The non-Fock representation used is inequivalent to the Fock one if no infrared cutoff is made. |
| Rights: | Electronic version of an article published as Reviews in Mathematical Physics, Vol. 13, Issue 9, 2001, pp. 1075-1094, DOI: 10.1142/S0129055X01000934 © World Scientific Publishing Company, http://www.worldscinet.com/rmp/rmp.shtml |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/38265 |
| 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: 新井 朝雄
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