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Absence of Ground States in the Translation Invariant Massless Nelson Model

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  • Thomas Norman Dam

In this paper, the translation invariant massless Nelson model with ultraviolet cutoff is investigated. It is proven that the fiber operators does not have a ground state if the interaction is not infrared regular. Similar results have been obtained by other authors under severe assumptions on the regularity of the mass shell. The method introduced in this paper works under very general conditions and relies only on rotation invariance of the mass shell, non-degeneracy of ground states and the HVZ theorem.

OriginalsprogEngelsk
TidsskriftAnnales Henri Poincare
Vol/bind21
Nummer8
Sider (fra-til)2655-2679
Antal sider25
ISSN1424-0637
DOI
StatusUdgivet - 2020

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