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Evidence for Complex Subleading Exponents from the High-Temperature Expansion of Dyson's Hierarchical Ising Model
Journal article   Peer reviewed

Evidence for Complex Subleading Exponents from the High-Temperature Expansion of Dyson's Hierarchical Ising Model

Y Meurice, G Ordaz and V. G. J Rodgers
Physical review letters, Vol.75(25), pp.4555-4558
12/1995
DOI: 10.1103/PhysRevLett.75.4555
PMID: 10059939
url
https://arxiv.org/pdf/hep-lat/9507016View
Open Access

Abstract

Using a renormalization group method, we calculate 800 high-temperature coefficients of the magnetic susceptibility of the hierarchical Ising model. The conventional quantities obtained from differences of ratios of coefficients show unexpected smooth oscillations with a period growing logarithmically and can be fitted assuming corrections to the scaling laws with complex exponents.

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