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Large-Flavor QCD on the Lattice

Y. Iwasaki·K. Kanaya·S. Kaya·T. Yoshié·S. Sakai
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Abstract

We study the nature of the QCD vacuum at general number of flavors $N_F$ by numerical simulations on the lattice. Combining the results with those of the perturbation theory, we propose the following picture: 1) For $N_F \ge 17$, there exists only one IR fixed point at vanishing gauge coupling, i.e., the theory in the continuum limit is trivial. 2) For $16 \ge N_F \ge 7$, there is a non-trivial fixed point. Therefore, the theory is non-trivial with anomalous dimensions, however, without quark confinement. 3) For $N_F \le 6$, theories satisfy both quark confinement and spontaneous chiral symmetry breaking in the continuum limit.

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Y. Iwasaki, K. Kanaya, S. Kaya, T. Yoshié, S. Sakai. 2000-04-25. Large-Flavor QCD on the Lattice. https://arxiv.org/abs/hep-lat/0004024

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