Lattice QCD at finite isospin density at zero and finite temperature

Abstract

We simulate lattice QCD with dynamical $u$ and $d$ quarks at finite chemical potential, ${\mu }_I$, for the third component of isospin ($I_3$), at both zero and at finite temperature. At zero temperature there is some ${\mu }_I$, ${\mu }_c$ say, above which $I_3$ and parity are spontaneously broken by a charged pion condensate. This is in qualitative agreement with the prediction of effective (chiral) Lagrangians which also predict ${\mu }_c=m_{\pi }$. This transition appears to be second order, with scaling properties consistent with the mean-field predictions of such effective Lagrangian models. We have also studied the restoration of $I_3$ symmetry at high temperature for ${\mu }_I>{\mu }_c$. For ${\mu }_I$ sufficiently large, this finite temperature phase transition appears to be first order. As ${\mu }_I$ is decreased it becomes second order connecting continuously with the zero temperature transition.

23 pages, Revtex, 9 figures. Major revision of sections 3 and 4 to include new analyses of critical scaling which we now find to be in the universality class of mean-field theory

References in corpus (12)

• Lattice determination of the critical point of QCD at finite T and μ
• A new method to study lattice QCD at finite temperature and chemical potential
• Two-colour QCD at non-zero quark-number density
• QCD at small non-zero quark chemical potentials
• Quenched lattice QCD at finite isospin density and related theories
• Diquark Condensate in QCD with Two Colors at Next-to-Leading Order
• Diquark Condensation at Nonzero Chemical Potential and Temperature
• Responses of hadrons to chemical potential at finite temperature
• Instanton interactions in dense-matter QCD
• Composite Reweighting the Glasgow Method for Finite Density QCD
• Composite reweighting SU(2) QCD at Finite Temperature
• Lattice QCD at finite isospin density

Cited by in corpus (168)

• Color superconductivity in dense quark matter
• The QCD thermal phase transition in the presence of a small chemical potential
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• Pion Superfluidity and Meson Properties at Finite Isospin Density
• QCD phase diagram for nonzero isospin-asymmetry
• The finite temperature transition for 2-flavour lattice QCD at finite isospin density
• Flavor-Mixing Effects on the QCD Phase Diagram at non-vanishing Isospin Chemical Potential: One or Two Phase Transitions?
• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• Isospin Chemical Potential and the QCD Phase Diagram at Nonzero Temperature and Baryon Chemical Potential
• 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
• Chiral magnetic effect in lattice QCD with a chiral chemical potential
• QCD Thermodynamics from the Lattice
• Factorization of Correlation Functions and the Replica Limit of the Toda Lattice Equation
• Flavor Superconductivity from Gauge/Gravity Duality
• Unquenched QCD Dirac Operator Spectra at Nonzero Baryon Chemical Potential
• Rho meson condensation at finite isospin chemical potential in a holographic model for QCD
• Superconductivity from D3/D7: Holographic Pion Superfluid
• The QCD Phase Diagram at Nonzero Temperature, Baryon and Isospin Chemical Potentials in Random Matrix Theory
• Phase structures of strong coupling lattice QCD with finite baryon and isospin density
• Pion condensation in quark matter with finite baryon density
• The critical line of two-flavor QCD at finite isospin or baryon densities from imaginary chemical potentials
• Meson condensation
• On the existence of the critical point in finite density lattice QCD
• Holographic vector mesons from spectral functions at finite baryon or isospin density
• Scrutinizing the pion condensed phase
• Phase Structure of Nambu-Jona-Lasinio Model at Finite Isospin Density
• Three-flavor Nambu--Jona-Lasinio model at finite isospin chemical potential
• New class of compact stars: Pion stars
• QCD matter in extreme environments
• Study of the phase diagram of dense two-color QCD within lattice simulation
• Two-color quark matter: U(1)_A restoration, superfluidity, and quarkyonic phase
• Pion Condensation in Baryonic Matter: from Sarma Phase to Larkin-Ovchinnikov-Fudde-Ferrell Phase
• Analytic continuation of the critical line: suggestions for QCD
• Magnetic structure of isospin-asymmetric QCD matter in neutron stars
• Equation of state and speed of sound of isospin-asymmetric QCD on the lattice
• Pion and Kaon Condensation at Finite Temperature and Density
• The fate of pion condensation in quark matter: from the chiral limit to the physical pion mass
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
• Pion condensation and phase diagram in the Polyakov-loop quark-meson model
• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter
• Three-loop hard-thermal-loop perturbation theory thermodynamics at finite temperature and finite baryonic and isospin chemical potential
• Lattice study of the chiral magnetic effect in a chirally imbalanced matter
• Pion and kaon condensation in a 3-flavor NJL model
• Ladder-QCD at finite isospin chemical potential
• 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: $|{\mu }_I|>m_{\pi }$
• Phase transitions and gluodynamics in 2-colour matter at high density
• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• The QCD phase diagram at nonzero baryon, isospin and strangeness chemical potentials: Results from a hadron resonance gas model
• Diquark and Pion Condensation in Random Matrix Models for two-color QCD
• Complex Langevin Simulation of a Random Matrix Model at Nonzero Chemical Potential
• Two-flavor chiral perturbation theory at nonzero isospin: Pion condensation at zero temperature
• Electromagnetic triangle anomaly and neutral pion condensation in QCD vacuum
• $\theta -$ Parameter in 2 Color QCD at Finite Baryon and Isospin Density
• QCD at finite isospin density: chiral perturbation theory confronts lattice data
• Applying Complex Langevin Simulations to Lattice QCD at Finite Density
• Chiral imbalanced hot and dense quark matter: NJL analysis at the physical point and comparison with lattice QCD
• Remarks on the multi-parameter reweighting method for the study of lattice QCD at non-zero temperature and density
• Lattice study of thermodynamic properties of dense QC${}_2$D
• Lattice QCD at finite temperature and density in the phase-quenched approximation
• Reliability of Taylor expansions in QCD
• The pseudo-Goldstone spectrum of 2-colour QCD at finite density
• Lattice simulations of the QCD chiral transition at real baryon density
• Cold QCD at finite isospin density: confronting effective models with recent lattice data
• QCD constraints on isospin-dense matter and the nuclear equation of state
• Intriguing aspects of meson condensation
• Equation of state of imbalanced cold matter from chiral perturbation theory
• Isospin asymmetry in holographic baryonic matter
• Lattice QCD with strong external electric fields
• Deconfinement Transition at High Isospin Chemical Potential and Low Temperature
• Pion condensation of quark matter in the static Einstein universe
• Two-flavor condensates in chiral dynamics: temperature and isospin density effects
• Pion crystals hosting topologically stable baryons
• Insights on the peak in the speed of sound of ultradense matter
• QCD inequalities for the nucleon mass and the free energy of baryonic matter
• Meson Spectral Functions at Finite Temperature and Isospin Density with Functional Renormalization Group
• Chiral density wave versus pion condensation at finite density
• Microscopic eigenvalue correlations in QCD with imaginary isospin chemical potential
• Thermodynamics and susceptibilities of isospin imbalanced QCD matter
• Phase Diagram of Dynamical Twisted Mass Wilson Fermions at Finite Isospin Chemical Potential
• Functional renormalization group at finite density and Bose condensation
• High-Energy Phase Diagrams with Charge and Isospin Axes under Heavy-Ion Collision and Stellar Conditions
• Phase Transition of Finite Size Quark Droplets with Isospin Chemical Potential in the Nanbu--Jona-Lasinio Model
• Possibility of QCD critical point sweep during black hole formation
• Effects of Dense Quark Matter on Gluon Propagators in Lattice QC${}_2$D
• Pion condensation in a dense neutrino gas
• Hot QCD at finite isospin density: confronting SU(3) Nambu-Jona-Lasinio model with recent lattice data
• Meson Screening Mass in a Strongly Coupled Pion Superfluid
• Finite Isospin Chiral Perturbation Theory in a Magnetic Field
• Equation of state of a hot-and-dense quark gluon plasma: lattice simulations at real ${\mu }_B$ vs. extrapolations
• 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 condensation in holographic QCD
• Pion and kaon condensation at zero temperature in three-flavor $\chi$PT at nonzero isospin and strange chemical potentials at next-to-leading order
• QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case
• Enhancement of Chiral Symmetry Breaking from the Pion condensation at finite isospin chemical potential in a holographic QCD model
• BCS-BEC crossover in relativistic Fermi systems
• A NJL-based study of the QCD critical line
• Finite size scaling of meson propagators with isospin chemical potential
• Topological deconfinement transition in QCD at finite isospin density
• Lattice QCD at finite T and μ
• Multicomponent meson superfluids in chiral perturbation theory
• Melting the Diquark Condensate in Two-Color QCD: A Renormalization Group Analysis
• Critical Behavior and Dimension Crossover of Pion Superfluidity
• Enhanced contribution of the pairing gap to the QCD equation of state at large isospin chemical potential
• Skyrmions in the presence of isospin chemical potential
• Structure of Compact Stars in Pion Superfluid Phase
• Pion condensation in a soft-wall AdS/QCD model
• QCD phase diagram at finite isospin chemical potential and temperature in an IR-improved soft-wall AdS/QCD model
• Finite Density Two Color Chiral Perturbation Theory Revisited
• Kondo effect driven by chirality imbalance
• QCD and the eta prime Mass: Instantons or Confinement?
• Pion condensation in the two--flavor chiral quark model at finite baryochemical potential
• Pionic BEC--BCS crossover at finite isospin chemical potential
• Confinement-Deconfinement Phase Transition at Nonzero Chemical Potential
• Electrical neutrality and $\beta$-equilibrium conditions in dense quark matter: generation of charged pion condensation by chiral imbalance
• Two-flavor QCD phases and condensates at finite isospin chemical potential
• Pion Superfluidity beyond Mean Field Approximation In Nambu--Jona-Lasinio Model
• Meson Mixing in Pion Superfluid
• QCD Kondo excitons
• Dual condensates at finite isospin chemical potential
• A quarksonic matter at high isospin density
• Reentrant pion superfluidity and cosmic trajectories within PNJL model
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
• Formation of a supergiant quantum vortex in a relativistic Bose-Einstein condensate driven by rotation and a parallel magnetic field
• Nucleon Mass Splitting at Finite Isospin Chemical Potential
• Meson Scattering in a Pion Superfluid
• Effect of $U_A(1)$ Breaking on Chiral Phase Structure and Pion Superfluidity at Finite Isospin Chemical Potential
• On Skyrmion semiclassical quantization in the presence of an isospin chemical potential
• QCD topology and axion properties in an isotropic hot and dense medium
• On the origin of the peak of the sound velocity for isospin imbalanced strongly interacting matter
• Isospin effect on baryon and charge fluctuations from the pNJL model
• Pion superfluid phase transition under external magnetic field including inverse magnetic catalysis effect
• Gluon Propagators in $2+1$ Lattice QCD with Nonzero Isospin Chemical Potential
• Heavy-quark spin polarization induced by the Kondo effect in a magnetic field
• Sign problem and the chiral spiral on the finite-density lattice
• Fate of separate chiral transitions at finite ${\mu }_I$ under the influence of mismatched vector interactions
• Classification of sign-problem-free relativistic fermions on the basis of the Majorana positivity
• Analytic non-homogeneous condensates in the $(2+1)$-dimensional Yang-Mills-Higgs-Chern-Simons theory at finite density
• Magnetic field effect on pion superfluid
• Speed of sound peak in isospin QCD: a natural prediction of the Medium Separation Scheme
• Nonlinear Boundary Dynamics and Chiral Symmetry in Holographic QCD
• Phonon modes of magnetic vortex lattices in finite isospin chiral perturbation theory
• Monte Carlo Study of Strongly-Interacting Degenerate Fermions: a Model for Voltage-Biased Bilayer Graphene
• QCD phase diagram from the gluon propagator at finite temperature and density
• Lattice QCD at finite isospin density and/or temperature
• Meson-Baryon Scattering Parameters from Lattice QCD with an Isospin Chemical Potential
• Chiral symmetry breaking and pion condensation in the early universe
• On the Phase Diagram of QCD with Small Isospin Chemical Potential
• The QCD Phase Diagram at Non-zero Baryon and Isospin Chemical Potentials
• Finite isospin density probe for conformality
• In-medium effects in the holographic quark-gluon plasma
• QCD critical point: a historical perspective
• Chiral Magnetic Effect on the Lattice
• Topics in Lattice QCD and Effective Field Theory
• Chiral dynamics and pion properties at finite temperature and isospin chemical potential
• Exploring the phase diagram of finite density QCD at low temperature by the complex Langevin method
• Aspects of Meson Condensation
• Meson Physics in Asymmetric Matter
• Light mesons around critical end points in $T-{\mu }_B-{\mu }_I-eB$ space
• Dilepton Production as a Probe of Pion Condensation in Hot and Dense QCD Matter
• Absence of charged pion condensation in a magnetic field with parallel rotation
• Isospin asymmetric matter in a nonlocal chiral quark model
• Fluctuation Induced Critical Behavior at Non-Zero Temperature and Chemical Potential