Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories

Abstract

Fluctuations of conserved quantum numbers are associated with the corresponding susceptibilities because of the symmetry of the system. The underlying fact is that these fluctuations as defined through the static correlators become identical to the direct calculation of these susceptibilities defined through the thermodynamic derivatives, due to the fluctuation-dissipation theorem. Through a rigorous exercise we explicitly show that a diagrammatic calculation of the static correlators associated with the conserved quark number fluctuations and the corresponding susceptibilities are possible in case of mean field theories, if the implicit dependence of the mean fields on the quark chemical potential are taken into account appropriately. As an aside we also give an analytical prescription for obtaining the implicit dependence of the mean fields on the quark chemical potential.

References in corpus (133)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• The Phase Structure of the Polyakov--Quark-Meson Model
• Polyakov loop, diquarks and the two-flavour phase diagram
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• Fluctuation Probes of Quark Deconfinement
• Charged Particle Ratio Fluctuation as a Signal for QGP
• Fluctuations of conserved charges at finite temperature from lattice QCD
• Fluctuations and Correlations of net baryon number, electric charge, and strangeness: A comparison of lattice QCD results with the hadron resonance gas model
• Universality, the QCD critical/tricritical point and the quark number susceptibility
• Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD
• Scale for the Phase Diagram of Quantum Chromodynamics
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Hadronic fluctuations at the QCD phase transition
• The phase structure of the Polyakov--quark-meson model beyond mean field
• Baryon Number, Strangeness and Electric Charge Fluctuations in QCD at High Temperature
• Polyakov loop in chiral quark models at finite temperature
• Susceptibilities and speed of sound from PNJL model
• Three-loop HTLpt thermodynamics at finite temperature and chemical potential
• Chiral magnetic effect in the PNJL model
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• Susceptibilities near the QCD (tri)critical point
• Thermodynamics of (2+1)-flavor QCD: Confronting Models with Lattice Studies
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Vacuum fluctuations and the thermodynamics of chiral models
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases
• Meson fluctuations and thermodynamics of the Polyakov loop extended quark-meson model
• Quark number susceptibilities from HTL-resummed thermodynamics
• Quarkyonic Matter and Chiral Symmetry Breaking
• Lattice QCD predictions for shapes of event distributions along the freezeout curve in heavy-ion collisions
• QCD critical region and higher moments for three flavor models
• Dynamics and thermodynamics of a nonlocal Polyakov--Nambu--Jona-Lasinio model with running coupling
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Role of Vector Interaction and Axial Anomaly in the PNJL Modeling of the QCD Phase Diagram
• Continuum and lattice meson spectral functions at nonzero momentum and high temperature
• Critical endpoint in the Polyakov-loop extended NJL model
• Sigma and hydrodynamic modes along the critical line
• Scalar density fluctuation at critical end point in NJL model
• Quark number susceptibilities: lattice QCD versus PNJL model
• Constant contribution in meson correlators at finite temperature
• Quark Number Fluctuations in a Chiral Model at Finite Baryon Chemical Potential
• The influence of strong magnetic fields and instantons on the phase structure of the two-flavor NJL model
• Fluctuations, strangeness and quasi-quarks in heavy-ion collisions from lattice QCD
• Infinite temperature limit of meson spectral functions calculated on the lattice
• Three-loop HTLpt Pressure and Susceptibilities at Finite Temperature and Density
• Polyakov loop extended NJL model with imaginary chemical potential
• Thermodynamic Properties of Strongly Interacting Matter in a Finite Volume using the Polyakov-Nambu-Jona-Lasinio model
• Dimension two condensates and the Polyakov loop above the deconfinement phase transition
• PNJL model with a Van der Monde term
• Scalar-pseudoscalar meson behavior and restoration of symmetries in SU(3) PNJL model
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field
• Multi-quark interactions with a globally stable vacuum
• Thermodynamics of lattice QCD with two light quark flavours on a 16^3 x 8 lattice II
• Phase diagram of chirally imbalanced QCD matter
• Finite Temperature Meson Correlation Functions in HTL Approximation
• Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons
• Two-loop HTL pressure at finite temperature and chemical potential
• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Towards finite density QCD with Taylor expansions
• Chiral Lagrangian at finite temperature from the Polyakov-Chiral Quark Model
• How parameters and regularization affect the PNJL model phase diagram and thermodynamic quantities
• Simple patterns for non-linear susceptibilities near T_c
• Quark Number Susceptibility in Hard Thermal Loop Approximation
• Investigation of Phase Diagram and Bulk Thermodynamic Properties using PNJL Model with Eight-Quark Interactions
• Gauge dynamics in the PNJL model: Color neutrality and Casimir scaling
• Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential
• Fluctuations and Correlations of Conserved Charges in QCD at Finite Temperature with Effective Models
• Including the Fermion Vacuum Fluctuations in the $(2+1)$ flavor Polyakov Quark Meson Model
• Degrees of freedom and the phase transitions of two flavor QCD
• The high temperature CP-restoring phase transition at theta = pi
• QCD thermodynamics with 2+1 flavors at nonzero chemical potential
• Next-to-leading order thermal spectral functions in the perturbative domain
• The Polyakov loop and the hadron resonance gas model
• Quark Number Susceptibility, Thermodynamic Sum Rule, and Hard Thermal Loop Approximation
• Kurtosis and compressibility near the chiral phase transition
• Fluctuations and Correlations of Conserved Charges near the QCD Critical Point
• Shear viscosity due to the Landau damping from quark-pion interaction
• Susceptibilities with multi-quark interactions in PNJL model
• Extensions and further applications of the nonlocal Polyakov--Nambu--Jona-Lasinio model
• Quark Number Susceptibilities from Two-Loop Hard Thermal Loop Perturbation Theory
• The Functional Renormalization Group and O(4) scaling
• D mesons at finite temperature and density in the PNJL model
• Correlation between conserved charges in PNJL Model with multi-quark interactions
• Meson loop effects in the NJL model at zero and non-zero temperature
• Phenomenology of the three-flavor PNJL model and thermal strange quark production
• On the efficient computation of high-order derivatives for implicitly defined functions
• Dual quark condensate in the Polyakov-loop extended Nambu--Jona-Lasinio model
• Comparing different hard-thermal-loop approaches to quark number susceptibilities
• Deconfinement and chiral restoration in nonlocal PNJL models at zero and imaginary chemical potential
• Quark matter under strong magnetic fields in SU(2) NJL-type models: parameter dependence of the cold dense matter phase diagram
• The phase diagram for the Nambu--Jona-Lasinio model with 't Hooft and eight-quark interactions
• Vector interaction strength in Polyakov-Nambu-Jona-Lasinio models from hadron-quark phase diagrams
• Mesonic Excitations of QGP: Study with an Effective Model
• Lowering the critical temperature with eight-quark interactions
• Non-perturbative dynamics and charge fluctuations in effective chiral models
• Thermodynamics and quark susceptibilities: a Monte-Carlo approach to the PNJL model
• The quarkynic phase and the Z_{Nc} symmetry
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Theta vacuum effects on QCD phase diagram
• Hadron-quark phase transition in a hadronic and Polyakov--Nambu--Jona-Lasinio models perspective
• Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential
• Conserved Density Fluctuation and Temporal Correlation Function in HTL Perturbation Theory
• Chiral condensate and dressed Polyakov loop in the Nambu--Jona-Lasinio model
• Baryon formation and dissociation in dense hadronic and quark matter
• Meson mass at real and imaginary chemical potentials
• Polyakov-Nambu-Jona-Lasinio phase diagrams and quarkyonic phase from order parameters
• Fluctuations and Correlations of Conserved Charges in the $(2+1)$ Polyakov Quark Meson Model
• Meson Screening Mass in a Strongly Coupled Pion Superfluid
• Phase diagram of Nambu-Jona-Lasinio model with dimensional regularization
• Study of Beta Equilibrated 2+1 Flavor Quark Matter in PNJL Model
• Average phase factor in the PNJL model
• A NJL-based study of the QCD critical line
• Isospin symmetry breaking and baryon-isospin correlations from Polyakov$-$Nambu$-$Jona-Lasinio model
• On the neutrality issue in the Polyakov-loop NJL model
• Axial anomaly and the three-flavor Nambu--Jona-Lasinio model with confinement: Constructing the QCD phase diagram
• Effects of Model Parameters in Thermodynamics of the PNJL Model
• The Polyakov loop in various representations in the confined phase of QCD
• Dressed Polyakov loop and flavor dependent phase transitions
• The consequences of SU(3) colorsingletness, Polyakov Loop and Z(3) symmetry on a quark-gluon gas
• The Quark Number Susceptibility in Hard-Thermal-Loop Approximation
• Investigation of meson masses for real and imaginary chemical potential
• Monte Carlo simulations of the NJL model near the nonzero temperature phase transition
• Interplay between chiral and axial symmetries in a SU(2) Nambu--Jona-Lasinio Model with the Polyakov loop
• Aspects of the phase diagram in (P)NJL-like models

Cited by in corpus (12)

• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• Transport coefficients in Polyakov quark meson coupling model: a relaxation time approximation
• Robust characteristics of nongaussian fluctuations from the NJL model
• Vector meson spectral function and dilepton production rate in a hot and dense medium within an effective QCD approach
• Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model
• Polyakov--Nambu--Jona-Lasinio model in finite volumes
• Reparametrizing the Polyakov$-$Nambu$-$Jona-Lasinio model
• Thermodynamics of strongly interacting matter in a hybrid model
• Impact of different extended components of mean field models on transport coefficients of quark matter and their causal aspects
• A comparative study on two different expressions of Bulk viscosity in the PNJL model
• Finite temperature properties of a modified Polyakov$-$Nambu$-$Jona-Lasinio model
• Consistent approach to study gluon quasi-particles