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arxiv: cond-mat/9803388 · v1 · submitted 1998-03-31 · ❄️ cond-mat.stat-mech · hep-lat· hep-ph· hep-th

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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