QCD at small non-zero quark chemical potentials

Abstract

We study the effects of small chemical potentials associated with the three light quark flavors in QCD. We use a low-energy effective field theory that solely relies on the symmetries of the QCD partition function. We find three different phases: a normal phase, a pion superfluid phase and a kaon superfluid phase. The two superfluid phases are separated by a first order phase transition, whereas the normal phase and either of the superfluid phases are separated by a second order phase transition. We compute the quark-antiquark condensate, the pion condensate and the kaon condensate in each phase, as well as the isospin density, the strangeness density, and the mass spectrum.

14 pages, 5 figures

References in corpus (1)

• QCD-like Theories at Finite Baryon and Isospin Density

Cited by in corpus (105)

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• A calculation of the QCD phase diagram at finite temperature, and baryon and isospin chemical potentials
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Boson Stars and Oscillatons: A Review
• Thermal Pions at Finite Isospin Chemical Potential
• Factorization of Correlation Functions and the Replica Limit of the Toda Lattice Equation
• Unquenched QCD Dirac Operator Spectra at Nonzero Baryon Chemical Potential
• The QCD Phase Diagram at Nonzero Temperature, Baryon and Isospin Chemical Potentials in Random Matrix Theory
• Pion condensation in quark matter with finite baryon density
• Diquark Condensate in QCD with Two Colors at Next-to-Leading Order
• Massive Nambu-Goldstone Bosons
• Meson condensation
• Scrutinizing the pion condensed phase
• Phase Structure of Nambu-Jona-Lasinio Model at Finite Isospin Density
• The QCD Sign Problem for Small Chemical Potential
• Chiral Symmetry Breaking and the Dirac Spectrum at Nonzero Chemical Potential
• Thermodynamics of chiral symmetry at low densities
• The Phase Diagram of Four Flavor SU(2) Lattice Gauge Theory at Nonzero Chemical Potential and Temperature
• Pion and Kaon Condensation at Finite Temperature and Density
• The Superfluid and Conformal Phase Transitions of Two-Color QCD
• Pion and kaon condensation in a 3-flavor NJL model
• Nambu-Jona-Lasinio model description of weakly interacting Bose condensate and BEC-BCS crossover in dense QCD-like theories
• Color superconductivity vs. pseudoscalar condensation in a three-flavor NJL model
• Linear sigma model at finite density in the 1/N expansion to next-to-leading order
• Thermal pion masses in the second phase: $|{\mu }_I|>m_{\pi }$
• Finite size effects in the Gross-Neveu model with isospin chemical potential
• The QCD Axion at Finite Density
• 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
• The QCD phase diagram at nonzero baryon, isospin and strangeness chemical potentials: Results from a hadron resonance gas model
• Lattice QCD study of mixed systems of pions and kaons
• On the possibility of P-violation at finite baryon-number densities
• QCD at finite isospin density: chiral perturbation theory confronts lattice data
• The Linear Sigma Model and the formation of a charged pion condensate in the presence of an external magnetic field
• Chemical potentials and parity breaking: the Nambu-Jona-Lasinio model
• 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
• Intriguing aspects of meson condensation
• QCD constraints on isospin-dense matter and the nuclear equation of state
• Equation of state of imbalanced cold matter from chiral perturbation theory
• Pion condensation in the Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Isospin asymmetry in holographic baryonic matter
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Pion condensation of quark matter in the static Einstein universe
• Two-flavor condensates in chiral dynamics: temperature and isospin density effects
• Strangeness Neutrality and QCD Thermodynamics
• Pion crystals hosting topologically stable baryons
• Microscopic eigenvalue correlations in QCD with imaginary isospin chemical potential
• Phase Transition of Finite Size Quark Droplets with Isospin Chemical Potential in the Nanbu--Jona-Lasinio Model
• Strangeness neutrality and baryon-strangeness correlations
• Magnetic catalysis of a charged Bose-Einstein condensate
• Pion condensation in a dense neutrino gas
• A large Nc perspective on the QCD phase diagram
• QCD with Bosonic Quarks at Nonzero Chemical Potential
• Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature
• Pion and kaon condensation at zero temperature in three-flavor $\chi$PT at nonzero isospin and strange chemical potentials at next-to-leading order
• Multicomponent meson superfluids in chiral perturbation theory
• Melting the Diquark Condensate in Two-Color QCD: A Renormalization Group Analysis
• Analysis of dilepton angular distributions in a parity breaking medium
• Condensation of interacting scalar bosons at finite temperatures
• Neutral quark matter in a Nambu-Jona Lasinio model with vector interaction
• Magnetic catalysis of a finite size pion condensate
• Skyrmions in the presence of isospin chemical potential
• Quark, pion and axial condensates in three-flavor finite isospin chiral perturbation theory
• Phase Transition in Interacting Boson System at Finite Temperatures
• Pion condensation in a soft-wall AdS/QCD model
• Finite Density Two Color Chiral Perturbation Theory Revisited
• Pion condensation in the two--flavor chiral quark model at finite baryochemical potential
• Bose-Einstein condensation in linear sigma model at Hartree and large N approximation
• Electrical neutrality and $\beta$-equilibrium conditions in dense quark matter: generation of charged pion condensation by chiral imbalance
• Quark-antiquark Scattering Phase Shift and Meson Spectral Function in Pion Superfluid
• Two-flavor QCD phases and condensates at finite isospin chemical potential
• Meson Mixing in Pion Superfluid
• Baryon Number Dirac Spectrum in QCD
• Baryon masses at nonzero isospin/kaon density
• Thermodynamic properties of interacting bosons with zero chemical potential
• The contributions of the vector-channel at finite isospin chemical potential with the self-consistent mean field approximation
• Effect of $U_A(1)$ Breaking on Chiral Phase Structure and Pion Superfluidity at Finite Isospin Chemical Potential
• Nucleon Mass Splitting at Finite Isospin Chemical Potential
• QCD phase diagram at finite isospin and baryon chemical potentials with the self-consistent mean field approximation
• Quark and Gluon Condensates in Isospin Matter
• To understand sQGP through non-topological FL model
• Pion superfluid phase transition under external magnetic field including inverse magnetic catalysis effect
• On the effective lagrangian at nonzero isospin chemical potential
• Magnetic field effect on pion superfluid
• Lattice QCD at finite isospin density
• Bose-Einstein condensation in dense quark matter
• Random matrix model at nonzero chemical potentials with anomaly effects
• The Fluctuations of the Quark Number and of the Chiral Condensate
• Finite isospin density probe for conformality
• Chiral Symmetry Breaking at Nonzero Chemical Potential
• Chiral symmetry breaking and pion condensation in the early universe
• On the Phase Diagram of QCD with Small Isospin Chemical Potential
• Multicomponent superfluidity in two-color QCD at finite density at next-to-leading order
• Finite volume and magnetic field effects on the two-pion correlation function in relativistic heavy-ion collisions
• Chiral dynamics and pion properties at finite temperature and isospin chemical potential
• Aspects of Meson Condensation
• Meson Physics in Asymmetric Matter
• Kaon Condensation with Lattice QCD
• Fluctuation Induced Critical Behavior at Non-Zero Temperature and Chemical Potential
• Dilepton Production as a Probe of Pion Condensation in Hot and Dense QCD Matter
• Light mesons around critical end points in $T-{\mu }_B-{\mu }_I-eB$ space
• Isospin asymmetric matter in a nonlocal chiral quark model