Universality of Phases in QCD and QCD-like Theories

Abstract

We argue that the whole or the part of the phase diagrams of QCD and QCD-like theories should be universal in the large-N_c limit through the orbifold equivalence. The whole phase diagrams, including the chiral phase transitions and the BEC-BCS crossover regions, are identical between SU(N_c) QCD at finite isospin chemical potential and SO(2N_c) and Sp(2N_c) gauge theories at finite baryon chemical potential. Outside the BEC-BCS crossover region in these theories, the phase diagrams are also identical to that of SU(N_c) QCD at finite baryon chemical potential. We give examples of the universality in some solvable cases: (i) QCD and QCD-like theories at asymptotically high density where the controlled weak-coupling calculations are possible, (ii) chiral random matrix theories of different universality classes, which are solvable large-N (large volume) matrix models of QCD. Our results strongly suggest that the chiral phase transition and the QCD critical point at finite baryon chemical potential can be studied using sign-free theories, such as QCD at finite isospin chemical potential, in lattice simulations.

v1: 35 pages, 6 figures; v2: 37 pages, 6 figures, minor improvements, conclusion unchanged; v3: version published in JHEP

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Cited by in corpus (56)

• SU(N) gauge theories at large N
• QCD phase diagram for nonzero isospin-asymmetry
• New Methods in QFT and QCD: From Large-N Orbifold Equivalence to Bions and Resurgence
• Fluctuations in the quark-meson model for QCD with isospin chemical potential
• Lattice QCD at non-zero isospin chemical potential
• The critical line of two-flavor QCD at finite isospin or baryon densities from imaginary chemical potentials
• QCD matter in extreme environments
• Study of the phase diagram of dense two-color QCD within lattice simulation
• Singular values of the Dirac operator in dense QCD-like theories
• 2d affine XY-spin model/ 4d gauge theory duality and deconfinement
• Dualities in dense quark matter with isospin, chiral and chiral isospin imbalance in the framework of the large-N${}_c$ limit of the NJL${}_4$ model
• Spectroscopy of SU(4) gauge theory with two flavors of sextet fermions
• Chiral imbalanced hot and dense quark matter: NJL analysis at the physical point and comparison with lattice QCD
• Dense baryon matter with isospin and chiral imbalance in the framework of NJL${}_4$ model at large $N_c$: duality between chiral symmetry breaking and charged pion condensation
• Differences and similarities between fundamental and adjoint matters in SU(N) gauge theories
• Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of NJL${}_2$ model
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Asymptotic safety with Majorana fermions and new large N equivalences
• Electric conductivity in finite-density SU(2) lattice gauge theory with dynamical fermions
• No-Go Theorem for Critical Phenomena in Large-Nc QCD
• Duality between chiral symmetry breaking and charged pion condensation at large $N_c$: Consideration of an NJL${}_2$ model with baryon-, isospin- and chiral isospin chemical potentials
• SO(N) gauge theories in 2+1 dimensions: glueball spectra and confinement
• Sign problem and phase quenching in finite-density QCD: models, holography, and lattice
• Topological deconfinement transition in QCD at finite isospin density
• Quarkonium at non-zero isospin density
• Thermal order in large N conformal gauge theories
• New critical point for QCD in a magnetic field
• Enhanced contribution of the pairing gap to the QCD equation of state at large isospin chemical potential
• Banks-Casher-type relation for the BCS gap at high density
• Symmetry breaking at high temperatures in large N gauge theories
• Persistent homology analysis for dense QCD effective model with heavy quarks
• Holographic realization of large-Nc orbifold equivalence with non-zero chemical potential
• On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
• Generating new dualities through the orbifold equivalence: a demonstration in ABJM and four-dimensional quivers
• Center symmetry and Hagedorn spectrum
• 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
• Towards extremely dense matter on the lattice
• The deconfining phase transition of SO(N) gauge theories in 2+1 dimensions
• Affinity of NJL${}_2$ and NJL${}_4$ model results on duality and pion condensation in chiral asymmetric dense quark matter
• QCD With A Chemical Potential, Topology, And The 't Hooft 1/N Expansion
• A new large-N limit and the planar equivalence outside the planar limit
• Noncritical Holographic QCD in External Electric Field
• Large-$N_c$ gauge theory and chiral random matrix theory
• On S-duality for holographic p-wave superconductors
• Silver Blaze Puzzle in 1/Nc Expansions of Cold and Dense QCD Matter
• Two-flavor QCD at finite quark or isospin density
• Large-Nc universality of phases in QCD and QCD-like theories
• Large-Nc equivalence and the sign problem at finite baryon density
• Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
• Universality of phase diagrams in QCD and QCD-like theories
• Some exact results on the QCD critical point
• Banks-Casher-type relations for complex Dirac spectra
• Taming the pion condensation in QCD at finite baryon density
• Isospin asymmetric matter in a nonlocal chiral quark model