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Triviality of Hierarchical Models with Small Negative φ4 Coupling in Four Dimensions

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Abstract

The Kadanoff-Wilson renormalization group (RG) for a class of hierarchical spin models including small negative φ4 terms in four dimensions are studied by using Gawędzki and Kupiainen's analysis. We prove triviality for the class, namely prove existence of critical trajectory that leads to the Gaussian fixed point.

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  1. Division of Information and Media Science, Graduate School of Science and Technology, Kobe University, Rokko Kobe, 657-8501, Japan

    Kenshi Hosaka

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  1. Kenshi Hosaka
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Correspondence to Kenshi Hosaka.

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Hosaka, K. Triviality of Hierarchical Models with Small Negative φ4 Coupling in Four Dimensions. J Stat Phys 122, 237–253 (2006). https://doi.org/10.1007/s10955-005-8010-1

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  • DOI: https://doi.org/10.1007/s10955-005-8010-1

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