The $\beta$-function of $SU(3)$ gauge theory with $ N_f = 10 $ massless fermions in the fundamental representation

gauge theory with 10 massless domain-wall fermions in the fundamental representation. The renormalized coupling is obtained by the finite-volume gradient flow scheme, and the discrete

\beta

-function is extrapolated to the continuum limit by the step-scaling method. Our result of the discrete

\beta

-function (with

s = 2

) suggests that this theory possesses an infrared fixed point around

g_c^2 \sim 7.0

for

c = \sqrt{8t}/L = 0.3

.

Note:

12 pages, 3 eps figures

fermion: massless
flavor: 10
fixed point: infrared
fermion: domain wall
gauge field theory: SU(3)
Higgs model: composite
technicolor: conformal
new physics
continuum limit
finite size: effect

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The β\betaβ-function of SU(3)SU(3)SU(3) gauge theory with Nf=10 N_f = 10 Nf​=10 massless fermions in the fundamental representation

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The $\beta$ -function of $SU(3)$ gauge theory with $N_f = 10$ massless fermions in the fundamental representation