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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, A. Browse this author |
| Keywords: | Nelson's model | | massless quantum field | | infrared divergence | | ground state | | canonical commutation relations | | non-Fock representation |
| Issue Date: | 1-Nov-2000 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 502 |
| Start Page: | 1 |
| End Page: | 19 |
| 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69252 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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