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A note on cluster expansions, tree graph identities, extra 1/N! factors!!!

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Abstract

We draw attention to a new tree graph identity which substantially improves on the usual tree graph method of proving convergence of cluster expansions in statistical mechanics and quantum field theory. We can control expansions that could not be controlled before.

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References

  1. Battle, G.A. and Federbush, P., Ann. Phys. 142, 95–139 (1982).

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  2. Federbush, P., ‘Surface Effects in Debye Screening, A Model Example’, work in progress.

  3. Magnen, J. and Seneor, R., ‘A Note on Cluster Expansions’, Preprint.

  4. Brydges, D. and Federbush, P., J. Math. Phys. 19, 2064 (1978).

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Authors and Affiliations

  1. Department of Mathematics, Texas A & M University, 77843, College Station, TE, USA

    G. A. Battle & P. Federbush

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

    G. A. Battle & P. Federbush

Authors
  1. G. A. Battle
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  2. P. Federbush
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Additional information

This work was supported in part by the National Science Foundation under Grants No. PHY01011 and MCS 83 01116.

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Battle, G.A., Federbush, P. A note on cluster expansions, tree graph identities, extra 1/N! factors!!!. Lett Math Phys 8, 55–57 (1984). https://doi.org/10.1007/BF00420041

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  • DOI: https://doi.org/10.1007/BF00420041

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