Confinement/Deconfinement Transition of Large N Gauge Theories with N_f Fundamentals: N_f/N Finite

Abstract

We consider large N zero-coupling d-dimensional U(N) gauge theories, with N_f matter fields in the fundamental representation on a compact spatial manifold S^{d-1} x time, with N_f/N finite. The Gauss' law constraint induces interactions among the fields, in spite of the zero-coupling. This class of theories undergo a 3rd order deconfinement phase transition at a temperature T_c proportional to the inverse length scale of the compact manifold. The low-temperature phase has a free-energy of {\cal O} (N^2_f), interpreted as that of a gas of (color singlet) mesons and glueballs. The high-temperature (deconfinement) phase has a free energy of order N^2 f (N_f/N, T), which is interpreted as that of a gas of gluons and of fundamental and anti-fundamental matter states. This suggests the existence of a dual string theory, and a transition to a black hole at high temperature.

16 pages. Typos corrected

References in corpus (7)

• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Holography of the N=1 Higher-Spin Theory on AdS4
• Large-N Collective Fields and Holography
• Evaluating the AdS dual of the critical O(N) vector model
• 3-D Interacting CFTs and Generalized Higgs Phenomenon in Higher Spin Theories on AdS
• On the proposed AdS dual of the critical O(N) sigma model for any dimension 2<d<4
• The Holographic Dual of a SUSY Vector Model and Tensionless Open Strings

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