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Five-loop \sqrtε-expansions for random Ising model and marginal spin dimensionality for cubic systems

B. N. Shalaev·S. A. Antonenko·A. I. Sokolov
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Abstract

The \sqrtε-expansions for critical exponents of the weakly-disordered Ising model are calculated up to the five-loop order and found to possess coefficients with irregular signs and values. The estimate n_c = 2.855 for the marginal spin dimensionality of the cubic model is obtained by the Pade-Borel resummation of corresponding five-loop ε-expansion.

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B. N. Shalaev, S. A. Antonenko, A. I. Sokolov. 1998-03-31. Five-loop \sqrtε-expansions for random Ising model and marginal spin dimensionality for cubic systems. https://doi.org/10.1016/s0375-9601(97)00225-9

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