2019年10月10日

# Renormalon-free definition of the gluon condensate within the large-$β_0$ approximation

Prog Theor Exp Phys (2019)
• Hiroshi Suzuki
• ,
• Hiromasa Takaura

2019
10

DOI
10.1093/ptep/ptz100

We propose a clear definition of the gluon condensate within the<br />
large-$\beta_0$ approximation as an attempt toward a systematic argument on the<br />
gluon condensate. We define the gluon condensate such that it is free from a<br />
renormalon uncertainty, consistent with the renormalization scale independence<br />
of each term of the operator product expansion (OPE), and an identical object<br />
irrespective of observables. The renormalon uncertainty of<br />
$\mathcal{O}(\Lambda^4)$, which renders the gluon condensate ambiguous, is<br />
separated from a perturbative calculation by using a recently suggested<br />
analytic formulation. The renormalon uncertainty is absorbed into the gluon<br />
condensate in the OPE, which makes the gluon condensate free from the<br />
renormalon uncertainty. As a result, we can define the OPE in a renormalon-free<br />
way. Based on this renormalon-free OPE formula, we discuss numerical extraction<br />
of the gluon condensate using the lattice data of the energy density operator<br />
defined by the Yang--Mills gradient flow.

リンク情報
DOI
https://doi.org/10.1093/ptep/ptz100
arXiv
http://arxiv.org/abs/arXiv:1807.10064
Scopus
https://www.scopus.com/record/display.uri?eid=2-s2.0-85074402110&origin=inward
Scopus
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85074402110&origin=inward 本文へのリンクあり
Scopus Citedby
https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85074402110&origin=inward
Arxiv Url
http://arxiv.org/abs/1807.10064v4
Arxiv Url
http://arxiv.org/pdf/1807.10064v4 本文へのリンクあり