PoS - Proceedings of Science
Volume 256 - 34th annual International Symposium on Lattice Field Theory (LATTICE2016) - Physics Beyond the Standard Model
Discrete $\beta$-function of the SU(3) gauge theory with 10 massless domain-wall fermions
T.W. Chiu
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Pre-published on: February 15, 2017
Published on: March 24, 2017
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 $12$ different lattice spacings parametrized by $6/g^2$. 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 $g_c^2 \sim 7$, which was first reported in arXiv:1603.08854, based on the continuum extrapolation of the discrete $\beta$-function obtained with three lattice pairs.
DOI: https://doi.org/10.22323/1.256.0228
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