Borel summability of the perturbation series in a hierarchical \(\lambda (\nabla \Phi)^ 4\) model (Q1072270)

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scientific article; zbMATH DE number 3942684
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Borel summability of the perturbation series in a hierarchical \(\lambda (\nabla \Phi)^ 4\) model
scientific article; zbMATH DE number 3942684

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    Borel summability of the perturbation series in a hierarchical \(\lambda (\nabla \Phi)^ 4\) model (English)
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    1984
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    We prove Borel summability of the perturbation series for the dielectric constant and the free energy density for the hierarchical \(\lambda (\nabla \Phi)^ 4\) lattice model. Our methods are based on nonperturbative renormalization group analysis of the model.
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    renormalization group
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    Borel summability
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    hierarchical model
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    perturbation series
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