Pseudo--epsilon expansion of six--loop renormalization group functions of an anisotropic cubic model

R. Folk; T. Yavors'kii; Yu. Holovatch

Pseudo--epsilon expansion of six--loop renormalization group functions of an anisotropic cubic model

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arxiv cond-mat/0003216 v2 pith:MSFY4V3Q submitted 2000-03-13 cond-mat.stat-mech

R. Folk , Yu. Holovatch , T. Yavors'kii This is my paper · ORCID

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keywords cubicmodelexpansionfunctionsgrouporderrenormalizationanisotropic

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Six-loop massive scheme renormalization group functions of a d=3-dimensional cubic model (J.M. Carmona, A. Pelissetto, and E. Vicari, Phys. Rev. B vol. 61, 15136 (2000)) are reconsidered by means of the pseudo-epsilon expansion. The marginal order parameter components number N_c=2.862(5) as well as critical exponents of the cubic model are obtained. Our estimate N_c<3 leads in particular to the conclusion that all ferromagnetic cubic crystals with three easy axis should undergo a first order phase transition.

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Redundant operators motivate spectral gaps that block accidental symmetry enhancement, yielding the first bootstrap island for the 3D cubic CFT that excludes the O(3) model.

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