Phase Structure of Lattice QCD for General Number of Flavors

Details Phase Structure of Lattice QCD for General Number of Flavors Phase Structure of Lattice QCD for General Number of Flavors

1997-07-17

arxiv.org/abs/hep-lat/9707019v1

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, 9 figures, Talk at 1996 International Workshop on Perspectives of Strong Coupling Gauge Theories, 13-16 Nov., 1996,

Scientific paper

We investigate the phase structure of lattice QCD for general number of flavors $N_F$. Based on numerical results combined with the result of the perturbation theory we propose the following picture: When $N_F \ge 17$, there is only a trivial fixed point and therefore 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 and 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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