The distributional Borel summability and the large coupling \(\Phi ^ 4\) lattice fields (Q1105135)
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scientific article; zbMATH DE number 4058115
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The distributional Borel summability and the large coupling \(\Phi ^ 4\) lattice fields |
scientific article; zbMATH DE number 4058115 |
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The distributional Borel summability and the large coupling \(\Phi ^ 4\) lattice fields (English)
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1986
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Following 't Hooft we extend the Borel sum and the Watson-Nevanlinna criterion by allowing distributional transforms. This enables us to prove that the characteristic function of the measure of any \(g^{-2}\Phi^ 4\) finite lattice field is the sum of a power series expansion obtained by fixing exponentially small terms in the coefficients. The same result is obtained for the trace of the double well semigroup approximated by the n th order Trotter formula.
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Borel sum
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Watson-Nevanlinna criterion
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power series expansion
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Trotter formula
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