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arXiv · 1603.08854

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

Ting-Wai Chiu
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Abstract

We present the first study of the discrete $\beta$-function of the $ SU(3) $ 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 $.

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BibTeXRIS

Ting-Wai Chiu. 2016-03-29. The $\beta$-function of $SU(3)$ gauge theory with $ N_f = 10 $ massless fermions in the fundamental representation. https://arxiv.org/abs/1603.08854

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