No-Go Theorem for Critical Phenomena in Large-Nc QCD

Abstract

We derive some rigorous results on the chiral phase transition in QCD and QCD-like theories with a large number of colors, Nc, based on the QCD inequalities and the large-Nc orbifold equivalence. We show that critical phenomena and associated soft modes are forbidden in flavor-symmetric QCD at finite temperature T and finite but not so large quark chemical potential μfor any nonzero quark mass. In particular, the critical point in QCD at a finite baryon chemical potential μ_B = Ncμis ruled out, if the coordinate (T, μ) is outside the pion condensed phase in the corresponding phase diagram of QCD at a finite isospin chemical potential μ_I = 2μ.

5 pages, 1 figure; published version

References in corpus (11)

• Theory of ultracold Fermi gases
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• A holographic model of deconfinement and chiral symmetry restoration
• Volume independence in large Nc QCD-like gauge theories
• Baryons and the phase diagram for a large number of colors and flavors
• Covering the Fermi Surface with Patches of Quarkyonic Chiral Spirals
• Orbifold equivalence and the sign problem at finite baryon density
• A Random Matrix Study of the QCD Sign Problem
• The nuclear liquid-gas phase transition at large $N_c$ in the Van der Waals approximation
• Average phase factor in the PNJL model
• On Chiral Symmetry Restoration at Finite Density in Large N_c QCD

Cited by in corpus (20)

• SU(N) gauge theories at large N
• Finite-density lattice QCD and sign problem: current status and open problems
• Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
• Lefschetz-thimble analysis of the sign problem in one-site fermion model
• Multi-flavor massless QED${}_2$ at finite densities via Lefschetz thimbles
• Gradient flows without blow-up for Lefschetz thimbles
• Sign problem and phase quenching in finite-density QCD: models, holography, and lattice
• Topological deconfinement transition in QCD at finite isospin density
• The fate of the critical endpoint at large $N_c$
• A quarksonic matter at high isospin density
• Large Nc Equivalence and Baryons
• Auxiliary field Monte-Carlo simulation of strong coupling lattice QCD for QCD phase diagram
• Fate of separate chiral transitions at finite ${\mu }_I$ under the influence of mismatched vector interactions
• Thermodynamical properties of strongly interacting matter in a model with explicit chiral symmetry breaking interactions
• Convergence of Ginzburg-Landau expansions: superconductivity in the Bardeen-Cooper-Schrieffer theory and chiral symmetry breaking in the Nambu-Jona-Lasinio model
• A new large-N limit and the planar equivalence outside the planar limit
• Large-$N_c$ gauge theory and chiral random matrix theory
• Large-Nc universality of phases in QCD and QCD-like theories
• Some exact results on the QCD critical point
• Universality of phase diagrams in QCD and QCD-like theories