Speaker
Prof.
Ting-Wai Chiu
(National Taiwan University)
Description
I present the updated results of the discrete $\beta$-function of the $SU(3)$ gauge theory with $N_f=10$ massless optimal domain-wall fermions in the fundamental representation.
The renormalized coupling is obtained by the finite-volume gradient flow scheme on $ L^4 $ lattices, for seven lattice sizes: $ L/a = 8, 10, 12, 16, 20, 24, 32 $;
and each with $11 - 17$ different lattice spacings parametrized by $ 6/g_0^2 $.
The discrete $\beta$-function is extrapolated to the continuum limit
using four lattice pairs $(L, 2L)/a =(8, 16), (10, 20), (12, 24)$ and $(16,32)$.
This provides stronger evidence of the infrared fixed point at $ g_c^2 \simeq 7 $,
which was first reported in arXiv:1603.08854, based on the continuum extrapolation
of the discrete $\beta$-function obtained with three lattice pairs.
Primary author
Prof.
Ting-Wai Chiu
(National Taiwan University)
