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A power counting theorem for Feynman integrals on the lattice

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Abstract

A convergence theorem is proved, which states sufficient conditions for the existence of the continuum limit for a wide class of Feynman integrals on a space-time lattice. A new kind of a UV-divergence degree is introcduced, which allows the formulation of the theorem in terms of power counting conditions.

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Communicated by A. Jaffe

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Reisz, T. A power counting theorem for Feynman integrals on the lattice. Commun.Math. Phys. 116, 81–126 (1988). https://doi.org/10.1007/BF01239027

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  • DOI: https://doi.org/10.1007/BF01239027

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