Confinement- Deconfinement Phase Transition in Hot and Dense QCD at Large N

Abstract

We conjecture that the confinement- deconfinement phase transition in QCD at large number of colors N and N_f\ll N at T\neq 0 and μ\neq 0 is triggered by the drastic change in θbehavior. The conjecture is motivated by the holographic model of QCD where confinement -deconfinement phase transition indeed happens precisely at the value of temperature T=T_c where θdependence experiences a sudden change in behavior[1]. The conjecture is also supported by quantum field theory arguments when the instanton calculations (which trigger the θdependence) are under complete theoretical control for T>T_c, suddenly break down immediately below T<T_c with sharp changes in the θdependence. Finally, the conjecture is supported by a number of numerical lattice results. We employ this conjecture to study confinement -deconfinement phase transition of dense QCD at large μin large N limit by analyzing the θdependence. We find that the confinement- deconfinement phase transition at N_f\ll N happens at very large quark chemical potential μ_c\sim \sqrt{N}Λ_{QCD}. This result agrees with recent findings by McLerran and Pisarski[2]. We also speculate on case when N_f\sim N.

10 pages, final version to appear in Nucl. Phys. A

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• Dense QCD: a Holographic Dyonic Salt
• Axion field and the quark nugget's formation at the QCD phase transition
• $\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation
• Phase diagram of Yang-Mills theories in the presence of a theta term
• Introductory lectures to large-N QCD phenomenology and lattice results
• Phase Transitions, theta Behavior and Instantons in QCD and its Holographic Model
• On Classification of QCD defects via holography
• The Maximal Abelian Gauge in SU(N) Gauge Theories and Thermal Monopoles for N = 3
• Nonlinear sigma models at nonzero chemical potential: breaking up instantons and the phase diagram
• Topology and $\theta$ dependence in finite temperature $G_2$ lattice gauge theory
• Conformal window in QCD for large numbers of colours and flavours
• Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory
• Color-flavor dependence of the Nambu-Jona-Lasinio model and QCD phase diagram
• Topological observables and $\theta$ dependence in high temperature QCD from lattice simulations
• Deconfinement Phase Transition in Hot and Dense QCD at Large N
• A non-perturbative approach to the study of confinement-deconfinement phase transition in S U(3) dual QCD formulation