2019年10月10日
Renormalon-free definition of the gluon condensate within the large-$β_0$ approximation
Prog Theor Exp Phys (2019)
- ,
- 巻
- 2019
- 号
- 10
- 記述言語
- 掲載種別
- 研究論文(学術雑誌)
- 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.
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/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
- ID情報
-
- DOI : 10.1093/ptep/ptz100
- eISSN : 2050-3911
- arXiv ID : arXiv:1807.10064
- SCOPUS ID : 85074402110