Existence and non existence of a ground state for the massless Nelson model under binding condition

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dc.creatorPanati, Annalisa
dc.date2006-09-24
dc.date2009-02-14
dc.date.accessioned2026-07-07T12:41:06Z
dc.date.available2026-07-07T12:41:06Z
dc.descriptionWe consider a model describing $N$ non-relativistic particles coupled to a massless quantum scalar field, called \emph{Nelson model}, under a binding condition on the external potential. We prove that this model does not admit ground state in the Fock representation of the canonical commutation relations, but it does in another not unitarily equivalent coherent representation. Remark that the binding condition is satisfied for small values of the coupling constant.
dc.descriptionrevised version
dc.identifierhttps://arxiv.org/abs/math-ph/0609065
dc.identifierhttp://arxiv.org/abs/math-ph/0609065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219656
dc.subjectMathematical Physics
dc.subject81Q10
dc.titleExistence and non existence of a ground state for the massless Nelson model under binding condition
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