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Towards the QED beta function and renormalons at 1/Nf2 and 1/Nf3

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We determine the 1=N2 f and 1=N3 f contributions to the QED beta function stemming from the closed set of nested diagrams. At the order of 1=N2 f, we discover… Click to show full abstract

We determine the 1=N2 f and 1=N3 f contributions to the QED beta function stemming from the closed set of nested diagrams. At the order of 1=N2 f, we discover a new logarithmic branch cut closer to the origin when compared to the 1=Nf results. The same singularity location appears at 1=N3 f, and these correspond to a UV renormalon singularity in the finite part of the photon two-point function.

Keywords: function; beta function; function renormalons; qed beta; renormalons nf2; towards qed

Journal Title: Physical Review D
Year Published: 2020

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