Resurgence of the QCD Adler function

Abstract

We study the QCD Adler function in the energy region $\approx 0.7-2.5$ GeV, in which the non-perturbative effects become dominant. Our analysis is a renormalon-based evaluation using transseries within the resurgence of the Renormalization-Group-Equation and does not require the Operator-Product-Expansion.

arXiv commentAs accepted in Physics Letters B

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Cited by in corpus (9)

• Resonant resurgent asymptotics from quantum field theory
• Determination of perturbative QCD coupling from ALEPH $\tau$ decay data using pinched Borel-Laplace and Finite Energy Sum Rules
• Borel-Laplace Sum Rules with $\tau$ decay data, using OPE with improved anomalous dimensions
• The analytic structure of the fixed charge expansion
• Conformal mappings in perturbative QCD
• Resurgence and self-completion in renormalized gauge theories
• The QCD Adler function and the muon $g-2$ anomaly from renormalons
• Resurgent representation of the Adler function in the large-${\beta }_0$ approximation of QCD
• Gluon Mass Generation from Renormalons and Resurgence