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Ground state of the massless Nelson model without infrared cutoff in a non-Fock representation

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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
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

Submitter: 数学紀要登録作業用

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