Numerical determination of the $\Lambda$-parameter in SU(3) gauge theory from the twisted gradient flow coupling

We estimate the $\Lambda$-parameter in the $\overline{\mathrm{MS}}$ scheme for the SU(3) pure gauge theory with the twisted gradient flow method non-perturbatively. We obtain $\Lambda_{\overline{\mathrm{MS}}}/\sqrt{\sigma}=0.527(13)(10)$ and $r_{0}\Lambda_{\overline{\mathrm{MS}}}=0.605(15)(5)$ which...

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Hauptverfasser: Ishikawa, Ken-Ichi, Kanamori, Issaku, Murakami, Yuko, Nakamura, Ayaka, Okawa, Masanori, Ueno, Ryoichiro
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Sprache:eng
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Zusammenfassung:We estimate the $\Lambda$-parameter in the $\overline{\mathrm{MS}}$ scheme for the SU(3) pure gauge theory with the twisted gradient flow method non-perturbatively. We obtain $\Lambda_{\overline{\mathrm{MS}}}/\sqrt{\sigma}=0.527(13)(10)$ and $r_{0}\Lambda_{\overline{\mathrm{MS}}}=0.605(15)(5)$ which are consistent with the known values.This demonstrates the validity of the present method.
DOI:10.48550/arxiv.1612.01676