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

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dc.creatorZhitnitsky, Ariel R.
dc.date2008-08-11
dc.date2008-09-23
dc.date.accessioned2026-07-07T11:45:25Z
dc.date.available2026-07-07T11:45:25Z
dc.descriptionWe 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.
dc.description10 pages, final version to appear in Nucl. Phys. A
dc.identifierhttps://arxiv.org/abs/0808.1447
dc.identifierhttp://arxiv.org/abs/0808.1447
dc.identifierNucl.Phys.A813:279-292,2008
dc.identifierdoi:10.1016/j.nuclphysa.2008.09.011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201873
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleConfinement- Deconfinement Phase Transition in Hot and Dense QCD at Large N
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