Speaker
Andrea Giorgieri
(Istituto Nazionale di Fisica Nucleare)
Description
We present our preliminary determinations of the $\Lambda$--parameter of $\mathrm{SU}(N=3,5,8)$ Yang--Mills theories and of its large--$N$ limit in the Twisted Gradient Flow renormalization scheme on the lattice. First, we determine $\Lambda$ in units of a low-energy renormalization scale $\mu_{\mathrm{had}}$ using the step-scaling method. Then, to express $\Lambda$ in units of the conventional reference scale $\sqrt{8t_0}$, we determine the non-dimensional conversion factor $\mu_{\mathrm{had}}\sqrt{8t_0}$. Lattice simulations are performed with the Parallel Tempering on Boundary Conditions algorithm to deal with the well-known problem of topological freezing.
Primary authors
Andrea Giorgieri
(Istituto Nazionale di Fisica Nucleare)
Claudio Bonanno
Jorge Luis Dasilva Golán
(Physics Deparment, Brookhaven National Laboratory)
Margarita García Pérez
(Instituto de Física Téorica UAM-CSIC)
Massimo D'Elia
(Istituto Nazionale di Fisica Nucleare)
