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arxiv: 1601.02805 · v3 · pith:VNOMHFLRnew · submitted 2016-01-12 · 🧮 math-ph · math.MP

Note on the Intermediate Field Representation of Phi²k Theory in Zero Dimension

classification 🧮 math-ph math.MP
keywords integralsrepresentationversionborel-leroycasecompletelycomplexconvergent
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This expanded version corrects some misprints of the first version, details completely the poof of Borel-Leroy summability and for $k=3$ in the complex case provides a new improved representation which relies on ordinary convergent Gaussian integrals rather than oscillatory integrals.

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