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arXiv · hep-lat/9804005

Quantum Chromodynamics with Many Flavors

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

We investigate the phase structure of lattice QCD for general number of flavors $N_F$. Based on numerical data combined with the results of the perturbation theory we propose the following picture: When $N_F \ge 17$, there is only one IR fixed point at vanishing gauge coupling, i.e., the theory in the continuum limit is trivial. On the other hand, when $16 \ge N_F \ge 7$, there is a non-trivial fixed point. Therefore, the theory is non-trivial with anomalous dimensions, however, without quark confinement. Theories which satisfy both quark confinement and spontaneous chiral symmetry breaking in the continuum limit exist only for $N_F \le 6$.

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Y. Iwasaki, K. Kanaya, S. Kaya, S. Sakai, T. Yoshié. 1998-04-06. Quantum Chromodynamics with Many Flavors. https://doi.org/10.1143/ptps.131.415

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