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Nonperturbative renormalization group approach to the Ising model: a derivative expansion at order $\partial^4$

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arxiv hep-th/0302227 v2 pith:L7RM4EWX submitted 2003-02-28 hep-th cond-mat.stat-mech

L. Canet , B. Delamotte , D. Mouhanna , J. Vidal This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords derivativeexpansiongroupisingmodelnonperturbativeorderpartial
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abstract

On the example of the three-dimensional Ising model, we show that nonperturbative renormalization group equations allow one to obtain very accurate critical exponents. Implementing the order $\partial^4$ of the derivative expansion leads to $\nu=0.632$ and to an anomalous dimension $\eta=0.033$ which is significantly improved compared with lower orders calculations.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Asymptotic behaviour of the derivative expansion in the ERG

    hep-th 2026-07 conditional novelty 7.0 of 10

    The derivative expansion of the exact renormalization group is divergent for generic operators in any dimension, but behaves as an asymptotic series that converges to high order in common applications.

  2. Functional renormalization of QCD in $1 + 1$ dimensions: four-fermion interactions from quark-gluon dynamics

    hep-ph 2024-12 conditional novelty 7.0 of 10

    First functional renormalization group study of two-dimensional QCD with a mass-like regulator, producing flow equations for the gauge coupling, quark mass, and a Fierz-complete set of four-fermion interactions.

  3. Regulator and gauge dependence of the Abelian gauge coupling in asymptotically safe quantum gravity

    hep-th 2025-08 unverdicted novelty 6.0 of 10

    The existence of an asymptotically safe UV completion for the Abelian gauge coupling is shown to survive simultaneous variations of the regulator and gauge parameters in certain minimal-sensitivity regions.

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