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Two and three body equations in quantum field models

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Abstract

In each pure phase of a ℘(φ)2 quantum field model, we establish local regularity of the Green's functions and exponential decay for noncritical models. We establish the existence of two-particle and three-particle Bethe-Salpeter kernels in the Euclidean region.

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Authors and Affiliations

  1. Rockefeller University, 10021, New York, N.Y., USA

    James Glimm

  2. Harvard University, 02138, Cambridge, Mass., USA

    Arthur Jaffe

Authors
  1. James Glimm
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  2. Arthur Jaffe
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Additional information

Communicated by A. S. Wightman

We thank the Institut des Hautes Etudes Scientifiques for hospitality.

Supported in part by the National Science Foundation under Grant MPS 74-13252.

Supported in part by the National Science Foundation under Grant MPS 73-05037.

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Glimm, J., Jaffe, A. Two and three body equations in quantum field models. Commun.Math. Phys. 44, 293–320 (1975). https://doi.org/10.1007/BF01609832

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  • DOI: https://doi.org/10.1007/BF01609832

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