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

Abstract

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.

Comments: 7 pages, 6 figures, uses PoS.cls, presented at the 34th International Symposium on Lattice Field Theory (Lattice 2016), 24 - 30 July 2016, University of Southampton, UK, PoS(LATTICE2016) 185