Five-loop sqrtε-expansions for random Ising model and marginal spin dimensionality for cubic systems
classification
❄️ cond-mat.stat-mech
hep-lathep-phhep-th
keywords
five-loopmodelcubicdimensionalityepsilon-expansionsisingmarginalspin
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The \sqrt\epsilon-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 \epsilon-expansion.
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