Hosaka K. — Triviality of Hierarchical Models with Small Negative φ^4 Coupling in Four Dimensions
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Название: Triviality of Hierarchical Models with Small Negative φ^4 Coupling in Four Dimensions
Автор: Hosaka K.
Аннотация:
Journal of Statistical Physics, Vol. 122, No. 2, January 2006. p. 237-253.
DOI: 10.1007/s10955-005-8010-1
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 Gawedzki 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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