Abstract:
We give a complete inductive description of the effective densities generated by applications of the renormalization transformations to the densities of the classical N-vector models described in the paper [1], and we formulate the main theorems of this sequence of papers. This description includes now all the “large field” domains, which we've excluded from the discussions of [1, 4]. We apply the renormalization transformation to a density satisfying the inductive hypotheses, we introduce “large field-small field” partitions, and we determine and analyze the fluctuation integrals in the general setting.
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Received: 13 December 1996 / Accepted: 25 September 1997
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Balaban, T. A Low Temperature Expansion for Classical N-Vector Models III. A Complete Inductive Description, Fluctuation Integrals . Comm Math Phys 196, 485–521 (1998). https://doi.org/10.1007/s002200050433
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DOI: https://doi.org/10.1007/s002200050433