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Infinite volume asymptotics inP(ø)2 field theory

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Abstract

We prove a number of asymptotic results in theP(φ)2 theory in the limit when the space cut-offs are removed, in particular the behavior ofE l andZ t,l ast,l→∞. Such results are used to study the question of orthogonality of infinite volume Euclidean measuresμ ∞(λ) for varying interaction constants λ.

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Authors and Affiliations

  1. Department of Mathematics, Indiana University, Bloomington, Indiana, USA

    A. Lenard

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  1. A. Lenard
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  2. C. M. Newman
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Communicated by A. S. Wightman

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Lenard, A., Newman, C.M. Infinite volume asymptotics inP(ø)2 field theory. Commun.Math. Phys. 39, 243–250 (1974). https://doi.org/10.1007/BF01614243

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  • DOI: https://doi.org/10.1007/BF01614243

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