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Boson fields with nonlinear selfinteraction in two dimensions

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Abstract

Semiboundedness of the total Hamiltonian is proved for a selfinteracting Boson field in two dimensional space time. The interaction is given by a Wick polynomial:P(Φ):. The polynomial P is required to have even degree and its leading coefficient must be positive. A space cutoff is introduced in the interaction Hamiltonian.

Original languageEnglish
Pages (from-to)12-25
Number of pages14
JournalCommunications in Mathematical Physics
Volume8
Issue number1
DOIs
StatePublished - Mar 1968

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