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New approach to Borel summation of divergent series and critical exponent estimates for an N-vector cubic model in three dimensions from five-loop \epsilon expansions

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arxiv cond-mat/9805081 v1 pith:JQQ7KCLC submitted 1998-05-07 cond-mat.stat-mech hep-thnucl-thquant-ph

Andrei Mudrov , Konstantin Varnashev This is my paper · ORCID
classification cond-mat.stat-mechhep-thnucl-thquant-ph
keywords seriesapproachasymptoticborelcriticalcubicdivergentepsilon
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A new approach to summation of divergent field-theoretical series is suggested. It is based on the Borel transformation combined with a conformal mapping and does not imply the exact asymptotic parameters to be known. The method is tested on functions expanded in their asymptotic power series. It is applied to estimating the critical exponent values for an N-vector field model, describing magnetic and structural phase transitions in cubic and tetragonal crystals, from five-loop \epsilon expansions.

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  1. Redundancy Channels in the Conformal Bootstrap

    hep-th 2025-07 conditional novelty 7.0 of 10

    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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