Phase structure of QCD for general number of flavors

Details Phase structure of QCD for general number of flavors Phase structure of QCD for general number of flavors

1996-08-22

arxiv.org/abs/hep-lat/9608125v1

Nucl.Phys.Proc.Suppl. 53 (1997) 449-455

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 7 pages, 10 PS figures, Talk presented at LATTICE96(poster) and LATTICE96(finite temperature)

Scientific paper

10.1016/S0920-5632(96)00685-8

We investigate and elucidate the phase structure of QCD for general number of flavors $N_F$ with Wilson quarks, varying $N_F$ from 2 up to 300. 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 $N_F \le 6$. We also discuss the structure of the deconfining phase at finite temperatures for the small number of flavors such as $N_F=2$ and 3, through a systematic study of it for general number of flavors.

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