Pion condensation in a soft-wall AdS/QCD model

Abstract

Finite isospin chemical potential ${\mu }_I$ and temperature $T$ have been introduced in the framework of soft-wall AdS/QCD model. By self-consistently solve the equation of motion, we obtain the phase boundary of pion condensation phase, across which the system undergoes a phase transition between pion condensation phase and normal phase. Comparing the free energy of solutions with and without pion condensation, we find that the phase transition is of first order type both at large ${\mu }_I$ and small ${\mu }_I$. Qualitatively, the behavior at large ${\mu }_I$ is in agreement with the lattice simulation in Phys.Rev.D66(2002)034505, while the behavior at small ${\mu }_I$ is different from lattice simulations and previous studies in hard wall AdS/QCD model. This indicates that a full back-reaction model including the interaction of gluo-dynamics and chiral dynamics might be necessary to describe the small ${\mu }_I$ pion condensation phase. This study could provide certain clues to build a more realistic holographic model.

arXiv commentRegular article, 21 pages

References in corpus (72)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Neutron Star Observations: Prognosis for Equation of State Constraints
• Charged AdS Black Holes and Catastrophic Holography
• QCD and a Holographic Model of Hadrons
• Linear Confinement and AdS/QCD
• Isospin Asymmetry in Nuclei and Neutron Stars
• QCD at finite isospin density
• Isospin Physics in Heavy-Ion Collisions at Intermediate Energies
• Mesons in Gauge/Gravity Duals - A Review
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Lattice QCD at finite isospin density at zero and finite temperature
• Imaginary chemical potential and finite fermion density on the lattice
• Pion Superfluidity and Meson Properties at Finite Isospin Density
• Confronting LHC data with the statistical hadronization model
• Holographic Models for QCD in the Veneziano Limit
• Chiral Symmetry Breaking in Soft-Wall AdS/QCD
• QCD phase diagram for nonzero isospin-asymmetry
• Isospin Chemical Potential and the QCD Phase Diagram at Nonzero Temperature and Baryon Chemical Potential
• Dynamical holographic QCD model for glueball and light meson spectra
• QCD at small non-zero quark chemical potentials
• Lepton asymmetry and the cosmic QCD transition
• A calculation of the QCD phase diagram at finite temperature, and baryon and isospin chemical potentials
• Phase Structure in a Dynamical Soft-Wall Holographic QCD Model
• The chiral condensate in holographic models of QCD
• Thermodynamics of deformed AdS${}_5$ model with a positive/negative quadratic correction in graviton-dilaton system
• On finite-temperature holographic QCD in the Veneziano limit
• Fluctuations in the quark-meson model for QCD with isospin chemical potential
• The QCD Phase Diagram at Nonzero Temperature, Baryon and Isospin Chemical Potentials in Random Matrix Theory
• A holographic model for QCD in the Veneziano limit at finite temperature and density
• A hQCD model and its phase diagram in Einstein-Maxwell-Dilaton system
• Lattice QCD at non-zero isospin chemical potential
• An AdS/QCD model from tachyon condensation: II
• The critical line of two-flavor QCD at finite isospin or baryon densities from imaginary chemical potentials
• A dynamical holographic QCD model for chiral symmetry breaking and linear confinement
• Prediction for the Mass Spectra of Resonance Mesons in the Soft-Wall AdS/QCD with a Modified 5D Metric
• Scrutinizing the pion condensed phase
• Three-flavor Nambu--Jona-Lasinio model at finite isospin chemical potential
• Temperature and quark density effects on the chiral condensate: an AdS/QCD study
• Inverse Magnetic Catalysis in the Soft-Wall Model of AdS/QCD
• A Refined Holographic QCD Model and QCD Phase Structure
• Chiral and Deconfining Phase Transitions from Holographic QCD Study
• Inverse Magnetic Catalysis from improved Holographic QCD in the Veneziano limit
• Approaching Confinement Structure for Light Quarks in a Holographic Soft Wall QCD Model
• Glueball spectra and Regge trajectories from a modified holographic softwall model
• Inverse Magnetic Catalysis in Bottom-Up Holographic QCD
• Predictive AdS/QCD Model for Mass Spectra of Mesons with Three Flavors
• Chiral phase transition of QCD with $N_f=2+1$ flavors from holography
• Diquark and Pion Condensation in Random Matrix Models for two-color QCD
• Pseudoscalar Mass Spectrum in a Soft-Wall Model of AdS/QCD
• Gravitation waves from QCD and electroweak phase transitions
• Chiral Phase Transition and Meson Melting from AdS/QCD
• Chiral phase transition and meson spectrum in improved soft-wall AdS/QCD
• Critical exponents of finite temperature chiral phase transition in soft-wall AdS/QCD models
• Dynamical corrections to the anomalous holographic softwall model: the pomeron and the odderon
• Locating the QCD critical end point through the peaked baryon number susceptibilities along the freeze-out line
• Infrared-Improved Soft-wall AdS/QCD Model for Mesons
• Holographic meson mass splitting in the Nuclear Matter
• Phase Diagram of Dynamical Twisted Mass Wilson Fermions at Finite Isospin Chemical Potential
• Functional renormalization group at finite density and Bose condensation
• Pomeron and Odderon Regge Trajectories from a Dynamical Holographic Model
• Reconstructing the final state of Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV
• Pion condensation in holographic QCD
• Enhancement of Chiral Symmetry Breaking from the Pion condensation at finite isospin chemical potential in a holographic QCD model
• Frequency and wave number dependence of the shear correlator in strongly coupled hot Yang-Mills theory
• Chiral phase transition at finite chemical potential in 2+1-flavor soft-wall AdS/QCD
• Perturbative thermodynamics at nonzero isospin density for cold QCD
• Critical Behavior and Dimension Crossover of Pion Superfluidity
• Single Freeze-Out, Statistics and Pion, Kaon and Proton Production in Central Pb-Pb Collisions at $\sqrt{s_{NN}}=2.76$ TeV
• Extended soft wall model with background related to features of QCD thermodynamics
• Meson effective mass in the isospin medium in hard-wall AdS/QCD model

Cited by in corpus (9)

• Meson condensation
• The dynamical holographic QCD method for hadron physics and QCD matter
• High-Energy Phase Diagrams with Charge and Isospin Axes under Heavy-Ion Collision and Stellar Conditions
• Pion dynamics in a soft-wall AdS-QCD model
• Pion quasiparticles and QCD phase transitions at finite temperature and isospin density from holography
• Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons
• QCD phase diagram at finite isospin chemical potential and temperature in an IR-improved soft-wall AdS/QCD model
• Thermalization and prethermalization in the soft-wall AdS/QCD model
• Thermodynamics of Soft Wall Model in Einstein-Maxwell-Gauss-Bonnet Gravity