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Integral representation for the dimensionally renormalized Feynman amplitude

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Abstract

A compact convergent integral representation for dimensionally renormalized Feynman amplitudes is explicitly constructed. The subtracted integrand is expressed as a distribution in the Schwinger α-parametric space, and is obtained by applying upon the bare integrand a new subtraction operatorR' which respects Zimmermann's forest structure.

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Communicated by R. Stora

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Bergère, M.C., David, F. Integral representation for the dimensionally renormalized Feynman amplitude. Commun.Math. Phys. 81, 1–26 (1981). https://doi.org/10.1007/BF01941797

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  • DOI: https://doi.org/10.1007/BF01941797

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