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Localization expansions. I. Functions of the “background” configurations

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Abstract

Expansions of the type described in the inductive hypothesis (H.5) in the paper [1] are constructed for local functions of the “background” configurations, i.e., solutions of the variational problems studied in the previous paper [3]. A main part of this construction is a further analysis of a local structure of the solutions.

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References

  1. Balaban, T.: A low temperature expansion for classicalN-vector models I. A renormalization group flow: Commun. Math. Phys.167, 103–154 (1995)

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  2. Balaban, T.: Commun. Math. Phys.89, 571 (1983); (b) Commun. Math. Phys.96, 223 (1982)

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  3. Balaban, T.: The variational problems for classicalN-vector models. Preprint, to be published in Commun. Math. Phys.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    Tadeusz Balaban

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  1. Tadeusz Balaban
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Additional information

Communicated by D. Brydges

This work has been partially supported by the NSF Grant DMS-9102639

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Balaban, T. Localization expansions. I. Functions of the “background” configurations. Commun.Math. Phys. 182, 33–82 (1996). https://doi.org/10.1007/BF02506385

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  • DOI: https://doi.org/10.1007/BF02506385

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