Pressure and non-linear susceptibilities in QCD at finite chemical potentials

Abstract

When the free energy density of QCD is expanded in a series in the chemical potential, mu, the Taylor coefficients are the non-linear quark number susceptibilities. We show that these depend on the prescription for putting chemical potential on the lattice, making all extrapolations in chemical potential prescription dependent at finite lattice spacing. To put bounds on the prescription dependence, we investigate the magnitude of the non-linear susceptibilities over a range of temperature, T, in QCD with two degenerate flavours of light dynamical quarks at lattice spacing 1/4T. The prescription dependence is removed in quenched QCD through a continuum extrapolation, and the dependence of the pressure, P, on mu is obtained.

arXiv comment15 pages, 2 figures. Data on chi_uuuu added, discussion enhanced

References in corpus (8)

• The QCD phase diagram for small densities from imaginary chemical potential
• Lattice determination of the critical point of QCD at finite T and μ
• The QCD thermal phase transition in the presence of a small chemical potential
• Finite density QCD via imaginary chemical potential
• Quark number susceptibilities from HTL-resummed thermodynamics
• Susceptibilities and screening masses in two flavor QCD
• Valence quarks in the QCD plasma: quark number susceptibilities and screening
• The phase transition in QCD with broken SU(2) flavour symmetry

Cited by in corpus (153)

• Chiral crossover in QCD at zero and non-zero chemical potentials
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• High density QCD on a Lefschetz thimble?
• Scale for the Phase Diagram of Quantum Chromodynamics
• Freeze-out Conditions in Heavy Ion Collisions from QCD Thermodynamics
• Hadronic fluctuations at the QCD phase transition
• QCD at finite chemical potential with six time slices
• The critical end point of QCD
• The phase boundary for the chiral transition in (2+1)-flavor QCD at small values of the chemical potential
• Susceptibilities and speed of sound from PNJL model
• The pressure of QCD at finite temperatures and chemical potentials
• Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
• The electrical conductivity and soft photon emissivity of the QCD plasma
• Advances in perturbative thermal field theory
• The QCD equation of state from the lattice
• Resummation in Hot Field Theories
• The finite temperature transition for 2-flavour lattice QCD at finite isospin density
• Acceptance corrections to net baryon and net charge cumulants
• QCD thermodynamics from an imaginary mu_B: results on the four flavor lattice model
• The density of states method at non-zero chemical potential
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• The QCD phase diagram: A comparison of lattice and hadron resonance gas model calculations
• Finite density QCD with a canonical approach
• Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation
• Volume Fluctuation and Autocorrelation Effects in the Moment Analysis of Net-proton Multiplicity Distributions in Heavy-Ion Collisions
• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
• QCD Thermodynamics from the Lattice
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• QCD Phase Diagram: Phase Transition, Critical Point and Fluctuations
• Higher order quark number fluctuations via imaginary chemical potentials in $N_f=2+1$ QCD
• Quantum Critical Points and the Sign Problem
• Phase of the Fermion Determinant at Nonzero Chemical Potential
• Equation of State and Heavy-Quark Free Energy at Finite Temperature and Density in Two Flavor Lattice QCD with Wilson Quark Action
• The QCD Sign Problem for Small Chemical Potential
• On the Phase Structure of QCD in a Finite Volume
• Equilibrium Statistical-Thermal Models in High-Energy Physics
• Mesonic correlation lengths in high-temperature QCD
• Chiral Susceptibility in (2+1)-flavour QCD
• Lee-Yang zero analysis for the study of QCD phase structure
• Equation of state at finite temperature and chemical potential, lattice QCD results
• Lattice QCD at finite temperature and density
• Two-loop HTL pressure at finite temperature and chemical potential
• Towards finite density QCD with Taylor expansions
• The calculation of the equation of state of QCD at finite chemical potential and zero temperature
• Simple patterns for non-linear susceptibilities near T_c
• Complex Langevin dynamics at finite chemical potential: mean field analysis in the relativistic Bose gas
• The Effect of Fluctuations on the QCD Critical Point in a Finite Volume
• $\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation
• Breakdown of staggered fermions at nonzero chemical potential
• Quark-Hadron Phase Transitions in Viscous Early Universe
• Radius of convergence in lattice QCD at finite ${\mu }_B$ with rooted staggered fermions
• Energy loss, equilibration, and thermodynamics of a baryon rich strongly coupled quark-gluon plasma
• QCD thermodynamics with 2+1 flavors at nonzero chemical potential
• Search for the QCD Critical Point in High Energy Nuclear Collisions
• Probing the QCD Critical Point with Higher Moments of Net-proton Multiplicity Distributions
• Phase diagram of QCD with four quark flavors at finite temperature and baryon density
• Quark number susceptibilities and equation of state at finite chemical potential in staggered QCD with Nt=8
• Analytic continuation from imaginary to real chemical potential in two-color QCD
• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• Equation of state of deconfined matter within dynamical quasiparticle description
• New approach to lattice QCD at finite density; results for the critical end point on coarse lattices
• The QCD phase diagram at nonzero baryon, isospin and strangeness chemical potentials: Results from a hadron resonance gas model
• Stabilizing Hadron Resonance Gas Models against Future Discoveries
• Remarks on the multi-parameter reweighting method for the study of lattice QCD at non-zero temperature and density
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Thermal photon and dilepton production and electric charge transport in a baryon rich strongly coupled QGP from holography
• Thermodynamic Properties of Strongly Interacting Matter at Non-zero Baryon Number Density
• The critical line from imaginary to real baryonic chemical potentials in two-color QCD
• Lattice QCD at finite temperature and density in the phase-quenched approximation
• Thermodynamics of Large-N_f QCD at Finite Chemical Potential
• High-Temperature QCD: theory overview
• Lattice simulations of the QCD chiral transition at real baryon density
• Perturbative QCD at non-zero chemical potential: Comparison with the large-Nf limit and apparent convergence
• Lattice QCD Equation of State for Nonvanishing Chemical Potential by Resumming Taylor Expansion
• Quark-Antiquark Condensates in the Hadronic Phase
• The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0
• New developments in lattice QCD on equilibrium physics and phase diagram
• The QCD Critical Point : marching towards continuum
• Lattice QCD Thermodynamics with Physical Quark Masses
• Quasiparticle Model of Quark-Gluon Plasma at Imaginary Chemical Potential
• Imaginary chemical potentials and the phase of the fermionic determinant
• Temperature and chemical potential dependence of the gluon condensate: a holographic study
• Lattice QCD Constraints on Hybrid and Quark Stars
• A general approach to the sign problem - the factorization method with multiple observables
• QCD thermodynamics with nonzero chemical potential at $N_t=6$ and effects from heavy quarks
• Distributions of the Phase Angle of the Fermion Determinant in QCD
• Flavor Diagonal and Off-Diagonal Susceptibilities in a Quasiparticle Model of the Quark-Gluon Plasma
• A simple approach towards the sign problem using path optimisation
• QCD in One Dimension at Nonzero Chemical Potential
• News from Lattice QCD on Heavy Quark Potentials and Spectral Functions of Heavy Quark States
• A thermodynamically consistent quasi-particle model without density-dependent infinity of the vacuum zero point energy
• Chiral dynamics in QCD at finite chemical potential
• Nonlinear susceptibilities under the framework of Dyson-Schwinger equations
• Mapping the phase diagram of strongly interacting matter
• Curvature of the chiral phase transition line from the magnetic equation of state of (2+1)-flavor QCD
• Equation of state of a hot-and-dense quark gluon plasma: lattice simulations at real ${\mu }_B$ vs. extrapolations
• The equation of state of QCD at finite chemical potential
• Fluctuating temperature and baryon chemical potential in heavy-ion collisions and the position of the critical end point in the effective QCD phase diagram
• Fluctuations, correlations and some other recent results from lattice QCD
• Reparametrizing the Polyakov$-$Nambu$-$Jona-Lasinio model
• Equation of state from lattice QCD
• Lattice QCD at finite T and μ
• QCD Critical Point: The Race is On
• Anomalies at finite density and chiral fermions
• Divergences in the quark number susceptibility : The origin and a cure
• On the critical end point in a two-flavor linear sigma model coupled to quarks
• Thermodynamics of strongly interacting matter in a hybrid model
• Neutral quark matter in a Nambu-Jona Lasinio model with vector interaction
• Chemical Potential Dependence of Chiral Quark Condensate in Dyson-Schwinger Equation Approach of QCD
• Hard Thermal Loop -- theory and applications
• A faster method of computation of lattice quark number susceptibilities
• Determination of Lee-Yang edge singularities in QCD by rational approximations
• The QCD phase diagram at zero and small baryon density
• Domain Growth in Chiral Phase Transitions
• Simulating Yang-Mills theories with a complex coupling
• The sign problem across the QCD phase transition
• Dependence of the static quark free energy on ${\mu }_B$ and the crossover temperature of $N_f=2+1$ QCD
• The Sign Problem via Imaginary Chemical Potential
• Holographic Model at Finite Temperature with $R$-chrage density
• Confining properties of QCD at finite temperature and density
• Possible links between the liquid-gas and deconfinement-hadronization phase transitions
• QCD thermodynamics on the lattice
• Searching for the QCD critical point using Lee-Yang edge singularities
• The QCD Equation of state and critical end-point estimates at $\mathcal{O}({\mu }_B^6)$
• Contribution to understanding the phase structure of strong interaction matter: Lee-Yang edge singularities from lattice QCD
• Role of chemical potential at kinetic freeze-out using Tsallis non-extensive statistics in proton-proton collisions at the Large Hadron Collider
• QCD phase transition and equation of state of stellar strong interaction matter via Dyson-Schwinger equation approach
• Lefschetz thimble-inspired weight regularizations for complex Langevin simulations
• Conserved Charge Fluctuations and Susceptibilities in Strongly Interacting Matter
• Thermodynamics of partonic matter in relativistic heavy-ion collisions from a multiphase transport model
• Effects of strangeness on the chiral pseudocritical line
• Effect of momentum anisotropy on quark matter in the quark-meson model
• Optimisation of complex integration contours at higher order
• Complex singularities around the QCD critical point at finite densities
• The pressure of QCD at finite temperature and quark number density
• The critical end point of quantum chromodynamics
• Hadronic property at finite density
• Vector interaction bounds in NJL-like models from LQCD estimated curvature of the chiral crossover line
• 3-flavour lattice QCD at finite density and temperature: QCD at finite isospin density revisited
• QCD at non-zero temperature and density from the lattice
• Method for comparing finite temperature field theory results with lattice data
• Unruh thermal hadronization and the cosmological constant
• Recent theoretical developments on QCD matter at finite temperature and density
• QCD Critical Region and Quark Gluon Plasma from an Imaginary mu_B
• Mass-dependence of pseudocritical temperature in mean field approximation
• The curvature of the pseudo-critical line in the QCD phase diagram from mesonic lattice correlation functions
• Exploring the QCD phase diagram through relativistic heavy ion collisions
• Silver Blaze Puzzle in 1/Nc Expansions of Cold and Dense QCD Matter
• The critical end point in QCD
• A new way of determining the Lattice QCD equation of state at a finite chemical potential
• Results from Lattice QCD
• The phases of QCD reached in terrestrial and cosmic colliders