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A lower bound for the mass of a random Gaussian lattice

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Abstract

We give a criterion that the two point function for a Gaussian lattice with random mass decay exponentially. The proof uses a random walk representation which may be of interest in other contexts.

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References

  1. Lieb, E., Mattis, D.: Mathematical physics in one dimension, pp. 119–196. New York: Academic Press 1967

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  2. Fröhlich, J.: Phase transitions, Goldstone bosons, and topological superselection rules. Acta Phys. Austriaca, Suppl.XV, 133 (1976)

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Authors and Affiliations

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

    David Brydges

  2. Department of Mathematics, University of Michigan, 48109, Ann Arbor, Michigan, USA

    Paul Federbush

Authors
  1. David Brydges
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  2. Paul Federbush
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Additional information

Communicated by A. Jaffe

Supported by N.S.F. Grants PHY 76-17191, MPS 10751

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Brydges, D., Federbush, P. A lower bound for the mass of a random Gaussian lattice. Commun.Math. Phys. 62, 79–82 (1978). https://doi.org/10.1007/BF01940332

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  • DOI: https://doi.org/10.1007/BF01940332

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