Phase structure of QCD for general number of flavors

Abstract

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.

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

References in corpus (1)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories

Cited by in corpus (12)

• Renormalons
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Massive gluons and quarks and the equation of state obtained from SU(3) lattice QCD
• The Phase Structure of an SU(N) Gauge Theory with N_f Flavors
• Phase structure of lattice QCD for general number of flavors
• Dynamics in the Conformal Window in QCD like Theories
• Meson masses in large Nf QCD from the Bethe-Salpeter equation
• Conformal Phase Transition and Fate of the Hidden Local Symmetry in Large N_f QCD
• Global Structure of Conformal Theories in the SU(3) Gauge Theory
• pi^+ - pi^0 mass difference from the Bethe-Salpeter equation
• Back-reaction of Non-supersymmetric Probes: Phase Transition and Stability
• On Different Criteria for Confinement