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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 polynomialP is required to have even degree and its leading coefficient must be positive. A space cutoff is introduced in the interaction Hamiltonian.

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Authors and Affiliations

  1. Mass. Institute of Technology, Cambridge, Mass.

    James Glimm

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  1. James Glimm
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This work was supported in part by the National Science Foundation, NSF GP 7477

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Glimm, J. Boson fields with nonlinear selfinteraction in two dimensions. Commun.Math. Phys. 8, 12–25 (1968). https://doi.org/10.1007/BF01646421

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  • DOI: https://doi.org/10.1007/BF01646421

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