Infrared Catastrophe for Nelson's Model

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dc.creatorHirokawa, Masao
dc.date2002-11-21
dc.date2005-11-08
dc.date.accessioned2026-07-07T06:35:18Z
dc.date.available2026-07-07T06:35:18Z
dc.descriptionWe 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.
dc.description22 pages. This manuscript is the final version and it appears in Publ. RIMS
dc.identifierhttps://arxiv.org/abs/math-ph/0211051
dc.identifierhttp://arxiv.org/abs/math-ph/0211051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99755
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.subject81T190, 81V10
dc.titleInfrared Catastrophe for Nelson's Model
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