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Stability for a class of bilocal Hamiltonians

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Abstract

We introduce a method to establish stability of non-local interactions, and we apply this method to certain polynomial non-linear field theory. The non-local potential must satisfy the property ofslow decrease at infinity in Fourier space (SDI).

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References

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Author notes

  1. Arthur Jaffe (John S. Guggenheim Foundation Fellow) & Andrzej Lesniewski

    Present address: Harvard University, 02138, Cambridge, Massachusetts, USA

Authors and Affiliations

  1. Department of Mathematics, E.T.H. Zentrum, CH-8092, Zürich, Switzerland

    Arthur Jaffe (John S. Guggenheim Foundation Fellow), Andrzej Lesniewski & Konrad Osterwalder

Authors
  1. Arthur Jaffe
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  2. Andrzej Lesniewski
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  3. Konrad Osterwalder
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Additional information

Communicated by A. Jaffe

Dedicated to Huzihiro Araki

Supported in part by the National Science Foundation under Grant PHY91-20626

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Jaffe, A., Lesniewski, A. & Osterwalder, K. Stability for a class of bilocal Hamiltonians. Commun.Math. Phys. 155, 183–197 (1993). https://doi.org/10.1007/BF02100057

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  • DOI: https://doi.org/10.1007/BF02100057

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