Quantum Chromodynamics with Many Flavors

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 $N_F\le 6$.

Talk presented by K. Kanaya at the 1997 Yukawa International Seminar (YKIS'97) on ``Non-Perturbative QCD --- Structure of the QCD Vacuum ---'', YITP, Kyoto, Japan, 2--12 Dec. 1997. To be published in the proceedings [Prog. Theor. Phys. Suppl.]

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• Phase structure of lattice QCD for general number of flavors
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• Meson masses in large Nf QCD from the Bethe-Salpeter equation
• Wilsonian Matching of Effective Field Theory with Underlying QCD
• Dropping rho and A_1 Meson Masses at Chiral Phase Transition in the Generalized Hidden Local Symmetry
• Fate of Vector Dominance in the Effective Field Theory
• Topological susceptibility in full QCD: lattice results versus the prediction from the QCD partition function with granularity
• Global Structure of Conformal Theories in the SU(3) Gauge Theory
• pi^+ - pi^0 mass difference from the Bethe-Salpeter equation
• Pi-eta scattering and the resummation of vacuum fluctuation in three-flavour ChPT
• pi+ pi0 Mass Difference in the Hidden Local Symmetry: A Dynamical Origin of Little Higgs
• Finite-volume analysis of N_f-induced chiral phase transitions