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 , 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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