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Renormalon-free definition of the gluon condensate within the large-$\beta_0$ approximation - MaRDI portal

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Renormalon-free definition of the gluon condensate within the large-$\beta_0$ approximation

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Publication:5156217

DOI10.1093/PTEP/PTZ100zbMATH Open1477.81131arXiv1807.10064OpenAlexW3104775017MaRDI QIDQ5156217

Author name not available (Why is that?)

Publication date: 15 October 2021

Published in: (Search for Journal in Brave)

Abstract: We propose a clear definition of the gluon condensate within the large- approximation as an attempt toward a systematic argument on the gluon condensate. We define the gluon condensate such that it is free from a renormalon uncertainty, consistent with the renormalization scale independence of each term of the operator product expansion (OPE), and an identical object irrespective of observables. The renormalon uncertainty of mathcalO(Lambda4), which renders the gluon condensate ambiguous, is separated from a perturbative calculation by using a recently suggested analytic formulation. The renormalon uncertainty is absorbed into the gluon condensate in the OPE, which makes the gluon condensate free from the renormalon uncertainty. As a result, we can define the OPE in a renormalon-free way. Based on this renormalon-free OPE formula, we discuss numerical extraction of the gluon condensate using the lattice data of the energy density operator defined by the Yang--Mills gradient flow.


Full work available at URL: https://arxiv.org/abs/1807.10064




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