Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field

Abstract

We study the thermodynamics of QCD system under external magnetic field via the 2+1 flavor Polyakov-loop quark-meson model. To incorporate quantum and thermal fluctuations, the functional renormalization group approach is implemented in our work. Pressure, entropy density, magnetic susceptibility and other thermodynamic quantities are calculated and analyzed to investigate the effect of magnetic field on the QCD system. The calculated results are in reasonable agreement with lattice QCD simulations and perturbation theory. We then give an intuitive picture for the response of QCD system to the magnetic field.

arXiv comment12 pages, 9 figures. Discussions and References are added. Typos are corrected. To appear in Phys. Rev. D

References in corpus (138)

• Exact evolution equation for the effective potential
• The Chiral Magnetic Effect
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• The equation of state in (2+1)-flavor QCD
• Estimate of the magnetic field strength in heavy-ion collisions
• The chiral and deconfinement aspects of the QCD transition
• New Forms of QCD Matter Discovered at RHIC
• Full result for the QCD equation of state with 2+1 flavors
• The phase diagram of dense QCD
• Aspects of the Functional Renormalisation Group
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Optimised Renormalisation Group Flows
• Phases of Dense Quarks at Large N_c
• The QCD phase diagram for external magnetic fields
• Non-Gaussian fluctuations near the QCD critical point
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• The Phase Structure of the Polyakov--Quark-Meson Model
• Optimisation of the exact renormalisation group
• QCD quark condensate in external magnetic fields
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
• On the sign of kurtosis near the QCD critical point
• Hadronization in the SU(3) Nambu-Jona-Lasinio Model
• Inverse magnetic catalysis and the Polyakov loop
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Scale for the Phase Diagram of Quantum Chromodynamics
• QCD Phase Transition in a Strong Magnetic Background
• Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions
• Freeze-out Conditions in Heavy Ion Collisions from QCD Thermodynamics
• The phase structure of the Polyakov--quark-meson model beyond mean field
• The QCD equation of state in background magnetic fields
• Quark condensate in a magnetic field
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Chiral magnetic effect in the PNJL model
• Magnetic Catalysis vs Magnetic Inhibition
• Magnetic catalysis and anisotropic confinement in QCD
• Numerical evidence of chiral magnetic effect in lattice gauge theory
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Phase structure of three and four flavor QCD
• Phase diagram and critical endpoint for strongly-interacting quarks
• Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
• From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
• Chiral Symmetry Restoration at Nonzero Temperature in the SU(3) \times SU(3) Linear Sigma Model
• Chiral Properties of Strong Interactions in a Magnetic Background
• Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• The QCD equation of state from the lattice
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• Lattice QCD at non-zero temperature
• Meson fluctuations and thermodynamics of the Polyakov loop extended quark-meson model
• Inverse magnetic catalysis induced by sphalerons
• Quark-hadron phase transition in a magnetic field
• Lattice QCD predictions for shapes of event distributions along the freezeout curve in heavy-ion collisions
• Confinement from Correlation Functions
• Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• On the phase structure and thermodynamics of QCD
• Thermo-magnetic effects in quark matter: Nambu--Jona-Lasinio model constrained by lattice QCD
• Chiral and deconfinement phase transitions of two-flavour QCD at finite temperature and chemical potential
• Deconfinement and chiral restoration within the SU(3) Polyakov--Nambu--Jona-Lasinio and entangled Polyakov--Nambu--Jona-Lasinio models in an external magnetic field
• QCD equation of state at nonzero magnetic fields in the Hadron Resonance Gas model
• Thermodynamics of QCD at vanishing density
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Droplets in the cold and dense linear sigma model with quarks
• Transport Coefficients in Yang--Mills Theory and QCD
• ${\pi }_0$ pole mass calculation in a strong magnetic field and lattice constraints
• Deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions in an external magnetic field
• New look at the QCD ground state in a magnetic field
• Polyakov loop potential at finite density
• The lattice QCD phase diagram in and away from the strong coupling limit
• Phase diagram in an external magnetic field beyond a mean-field approximation
• Phase transition dynamics for baryon-dense matter
• The Surface Tension of Quark Matter in a Geometrical Approach
• Spontaneous generation of local CP violation and inverse magnetic catalysis
• Phase diagram of hot magnetized two-flavor color superconducting quark matter
• Anomalous magnetic moment of hot quarks, inverse magnetic catalysis and reentrance of chiral symmetry broken phase
• Phase diagram and thermodynamics of the Polyakov linear sigma model with three quark flavors
• Surface tension and curvature energy of quark matter in the NJL model
• Large Nc Deconfinement Transition in the Presence of a Magnetic Field
• Phase diagram and surface tension in the three-flavor Polyakov-quark-meson model
• Magnetic catalysis (and inverse catalysis) at finite temperature in two-color lattice QCD
• Inverse magnetic catalysis in holographic models of QCD
• QCD vacuum structure in strong magnetic fields
• A search for inverse magnetic catalysis in thermal quark-meson models
• Fluctuation-induced modifications of the phase structure in (2+1)-flavor QCD
• Fluctuations and the axial anomaly with three quark flavors
• Chiral dynamics in a magnetic field from the functional renormalization group
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Magnetic susceptibility and equation of state of N_f = 2+1 QCD with physical quark masses
• Dynamical quark mass generation in a strong external magnetic field
• QCD matter in extreme environments
• Phase diagram and thermal properties of strong-interaction matter
• The magnetized effective QCD phase diagram
• Quark-gluon plasma in an external magnetic field
• Charged and neutral vector meson under magnetic field
• Quark Number Fluctuations at Finite Temperature and Finite Chemical Potential via the Dyson-Schwinger Equation Approach
• Critical point of $N_f=3$ QCD from lattice simulations in the canonical ensemble
• Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop
• Some Field Theoretic Issues Regarding the Chiral Magnetic Effect
• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Inverse Magnetic Catalysis in the three-flavor NJL model with axial-vector interaction
• QCD phase diagram at finite baryon and isospin chemical potentials
• Magnetic catalysis and inverse magnetic catalysis in nonlocal chiral quark models
• Inverse magnetic catalysis and regularization in the quark-meson model
• Deconfinement, chiral symmetry restoration and thermodynamics of (2+1)--flavor hot QCD matter in an external magnetic field
• Interface Tension and Interface Entropy in 2+1 Flavour Nambu-Jona-Lasino Model
• End Point of a First-Order Phase Transition in Many-Flavor Lattice QCD at Finite Temperature and Density
• The Surface Tension of Magnetized Quark Matter
• Chiral transition with magnetic fields
• A renormalization group approach for QCD in a strong magnetic field
• The Linear Sigma Model and the formation of a charged pion condensate in the presence of an external magnetic field
• Critical Endpoint and Inverse Magnetic Catalysis for Finite Temperature and Density Quark Matter in a Magnetic Background
• SU(3) Polyakov Linear Sigma-Model in an External Magnetic Field
• Nucleating quark droplets in the core of magnetars
• Magnetic susceptibility of a strongly interacting thermal medium with 2+1 quark flavors
• Quark deconfinement and gluon condensate in a weak magnetic field
• Meson Spectral Functions at Finite Temperature and Isospin Density with Functional Renormalization Group
• The quark-hadron thermodynamics in magnetic field
• Strange quark chiral phase transition in hot 2+1-flavor magnetized quark matter
• Thermal evolution of hybrid stars within the framework of a nonlocal Nambu--Jona-Lasinio model
• Functional Renormalization for Chiral and U_A(1) Symmetries at Finite Temperature
• Magnetic catalysis of a charged Bose-Einstein condensate
• Dynamical chiral symmetry breaking in the NJL model with a constant external magnetic field
• Theoretical overview: towards understanding the quark-gluon plasma
• Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
• Temperature Effect on Shear and Bulk Viscosities of QCD Matter
• (Inverse) Magnetic Catalysis in Bose-Einstein Condensation of Neutral Bound Pairs
• Baryon number probability distribution at finite temperature
• Four-fermion interactions and the chiral symmetry breaking in an external magnetic field
• Chiral Magnetic Effect and Chiral Phase Transition
• Bose-Einstein Condensation of Bound Pairs of Relativistic Fermions in a Magnetic Field
• Functional renormalization group study of the Nambu--Jona-Lasinio model at finite temperature and density in an external magnetic field
• Fermion spectral function in hot strongly interacting matter from the functional renormalization group
• Chiral Magnetic Effect and QCD Phase Transitions with Effective Models
• Weak magnetic field effects on chiral critical temperature in a nonlocal Nambu--Jona-Lasinio model

Cited by in corpus (19)

• The nonperturbative functional renormalization group and its applications
• The QCD phase structure at finite temperature and density
• Shear-induced spin polarization in heavy-ion collisions
• QCD at finite temperature and density within the fRG approach: An overview
• Probing the partonic degrees of freedom in high multiplicity p-Pb collisions at $\sqrt{s_{NN}}=$ 5.02 TeV
• Chiral properties of (2+1)-flavor QCD in strong magnetic fields at zero temperature
• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Fluctuations and correlations of net baryon number, electric charge and strangeness in a background magnetic field
• Mesonic dynamics and QCD phase transition
• Magnetic catalysis and diamagnetism from pion fluctuations
• Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model
• Diamagnetic and Paramagnetic Phases in Low-Energy Quantum Chromodynamics
• New Insight about the Effective Restoration of U_A(1) Symmetry
• Overview of the QCD phase diagram -- Recent progress from the lattice
• New insight on the quark condensate beyond chiral limit
• Thermomagnetic Properties of QCD
• Effect of magnetic field on jet transport coefficient $\hat{q}$
• Spectral function for pions in magnetic field
• Chiral Properties of $(2+1)$-Flavor QCD in Magnetic Fields at Zero Temperature