A new method to study lattice QCD at finite temperature and chemical potential

Abstract

Due to the sign problem, it is exponentially difficult to study QCD on the lattice at finite chemical potential. We propose a method --an overlap improving multi-parameter reweighting technique-- to alleviate this problem. We apply this method and give the phase diagram of four-flavor QCD obtained on lattices 4^4 and 4\cdot6^3. Our results are based on {\cal{O}}(10^3-10^4) configurations.

minor changes, version to appear in Phys. Lett. B

Cited by in corpus (341)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Equations of state for supernovae and compact stars
• Full result for the QCD equation of state with 2+1 flavors
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• The QCD phase diagram for small densities from imaginary chemical potential
• The QCD thermal phase transition in the presence of a small chemical potential
• Finite density QCD via imaginary chemical potential
• QCD and strongly coupled gauge theories: challenges and perspectives
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• High density QCD on a Lefschetz thimble?
• Universality, the QCD critical/tricritical point and the quark number susceptibility
• QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order mu^2
• The Phase Diagram of the Quark-Meson Model
• Lattice QCD at finite isospin density at zero and finite temperature
• The QCD phase diagram at nonzero quark density
• Susceptibilities and speed of sound from PNJL model
• The Status of Lattice QCD at Finite Temperature
• Precision SU(3) lattice thermodynamics for a large temperature range
• Partonic flow and $\varphi$-meson production in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV
• Lattice QCD and heavy ion collisions: a review of recent progress
• Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
• Susceptibilities near the QCD (tri)critical point
• Higher order fluctuations and correlations of conserved charges from lattice QCD
• The QCD equation of state at nonzero densities: lattice result
• Review on novel methods for lattice gauge theories
• Multi-strange baryon elliptic flow in Au+Au collisions at sqrt(s_NN)= 200 GeV
• Two lectures on color superconductivity
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• 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
• QCD thermodynamics from an imaginary mu_B: results on the four flavor lattice model
• Finite-density lattice QCD and sign problem: current status and open problems
• The density of states method at non-zero chemical potential
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• 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
• The QCD phase diagram: A comparison of lattice and hadron resonance gas model calculations
• Event-by-event fluctuations of the mean transverse momentum in 40, 80, and 158 A GeV/c Pb-Au collisions
• Finite density QCD with a canonical approach
• The QCD equation of state at finite density from analytical continuation
• Volume Fluctuation and Autocorrelation Effects in the Moment Analysis of Net-proton Multiplicity Distributions in Heavy-Ion Collisions
• A Monte Carlo algorithm for simulating fermions on Lefschetz thimbles
• QCD Thermodynamics from the Lattice
• A new approach to the complex-action problem and its application to a nonperturbative study of superstring theory
• Quark number susceptibilities: lattice QCD versus PNJL model
• Phase structure of lattice QCD with two flavors of Wilson quarks at finite temperature and chemical potential
• Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• Quark droplets stability induced by external magnetic field
• Phase structures of strong coupling lattice QCD with finite baryon and isospin density
• Antikaon production in A+A collisions at SIS energies within an off-shell G-matrix approach
• Critical line of 2+1 flavor QCD: Toward the continuum limit
• The QCD Phase Boundary from Quark-Gluon Dynamics
• $\varphi$ and $\Omega$ production in relativistic heavy ion collisions in a dynamical quark coalescence model
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• On the existence of the critical point in finite density lattice QCD
• The QCD equation of state near T_0 within a quasi-particle model
• Equation of State and Heavy-Quark Free Energy at Finite Temperature and Density in Two Flavor Lattice QCD with Wilson Quark Action
• Lattice QCD Calculation for the Physical Equation of State
• On the Phase Structure of QCD in a Finite Volume
• Oracles for Gauss's law on digital quantum computers
• Off-diagonal correlators of conserved charges from lattice QCD and how to relate them to experiment
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Dynamical net-proton fluctuations near a QCD critical point
• Finite-Density Monte Carlo Calculations on Sign-Optimized Manifolds
• Temperature and quark density effects on the chiral condensate: an AdS/QCD study
• Model study of the sign problem in the mean-field approximation
• QCD thermodynamics with continuum extrapolated Wilson fermions I
• Equilibrium Statistical-Thermal Models in High-Energy Physics
• The influence of strange quarks on QCD phase diagram and chemical freeze-out: Results from the hadron resonance gas model
• Lee-Yang zero analysis for the study of QCD phase structure
• QCD Critical Point in a Quasiparticle Model
• On the critical line of 2+1 flavor QCD
• Complex Langevin dynamics for dynamical QCD at nonzero chemical potential: a comparison with multi-parameter reweighting
• HTL quasiparticle models of deconfined QCD at finite chemical potential
• Phase diagram of QCD at finite temperature and chemical potential from lattice simulations with dynamical Wilson quarks
• Deep Learning Beyond Lefschetz Thimbles
• Equation of state at finite temperature and chemical potential, lattice QCD results
• Pseudoscalar neutral mesons in hot and dense matter
• Lattice QCD at finite temperature and density
• Behavior of Hadrons at Finite Density -- Lattice Study of Color SU(2) QCD
• Determination of QCD phase diagram from the imaginary chemical potential region
• Analysis of U${}_A$(1) symmetry-breaking and restoration effects on the scalar-pseudoscalar spectrum
• The calculation of the equation of state of QCD at finite chemical potential and zero temperature
• Quasi-Particle Description of Strongly Interacting Matter: Towards a Foundation
• 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
• Fluctuations and correlations of conserved charges in an excluded volume hadron resonance gas model
• Pseudoscalars Mesons in Hot, Dense Matter
• On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential
• Baryon number fluctuations in chiral effective models and their phenomenological implications
• Pion and kaon condensation in a 3-flavor NJL model
• Overlap Dirac operator at nonzero chemical potential and random matrix theory
• Fluctuations and Correlations of Conserved Charges in QCD at Finite Temperature with Effective Models
• Method for simulating O(N) lattice models at finite density
• Quasiparticle Description of Hot QCD at Finite Quark Chemical Potential
• Ladder-QCD at finite isospin chemical potential
• Roberge-Weiss phase transition and its endpoint
• Phase diagram of Yang-Mills theories in the presence of a theta term
• Breakdown of staggered fermions at nonzero chemical potential
• Toward Quantum Computing Phase Diagrams of Gauge Theories with Thermal Pure Quantum States
• Fermions at Finite Density in (2+1)d with Sign-Optimized Manifolds
• QCD Equation of State at Finite Chemical Potentials for Relativistic Nuclear Collisions
• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Quasiparticle Description of the QCD Plasma, Comparison with Lattice Results at Finite T and Mu
• QCD phase diagram at finite baryon and isospin chemical potentials
• Degenerate distributions in complex Langevin dynamics: one-dimensional QCD at finite chemical potential
• Quark-Hadron Phase Transitions in Viscous Early Universe
• Energy loss, equilibration, and thermodynamics of a baryon rich strongly coupled quark-gluon plasma
• QCD thermodynamics with 2+1 flavors at nonzero chemical potential
• Radius of convergence in lattice QCD at finite ${\mu }_B$ with rooted staggered fermions
• QCD thermodynamics from lattice calculations with non-equilibrium methods: The SU(3) equation of state
• Thermodynamics of the QCD transition from lattice
• The kurtosis of net baryon number fluctuations from a realistic Polyakov--Nambu--Jona-Lasinio model along the experimental freeze-out line
• Probing the QCD Critical Point with Higher Moments of Net-proton Multiplicity Distributions
• Lattice QCD Results at Finite Temperature and Density
• Phase diagram of QCD with four quark flavors at finite temperature and baryon density
• Reliable estimation of the radius of convergence in finite density QCD
• QCD thermodynamics with dynamical overlap fermions
• Analytic continuation from imaginary to real chemical potential in two-color QCD
• Does the complex Langevin method give unbiased results?
• The inefficiency of re-weighted sampling and the curse of system size in high order path integration
• New approach to lattice QCD at finite density; results for the critical end point on coarse lattices
• Susceptibilities with multi-quark interactions in PNJL model
• Interface Tension and Interface Entropy in 2+1 Flavour Nambu-Jona-Lasino Model
• The QCD phase diagram at nonzero baryon, isospin and strangeness chemical potentials: Results from a hadron resonance gas model
• Behaviour of the topological susceptibility in two colour QCD across the finite density transition
• A Model for QCD at High Density and Large Quark Mass
• QCD at Zero Baryon Density and the Polyakov Loop Paradox
• Gravitation waves from QCD and electroweak phase transitions
• Six Flavor Quark Matter
• Real and imaginary chemical potential in 2-color QCD
• Thermal photon and dilepton production and electric charge transport in a baryon rich strongly coupled QGP from holography
• Robust characteristics of nongaussian fluctuations from the NJL model
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Remarks on the multi-parameter reweighting method for the study of lattice QCD at non-zero temperature and density
• QCD Dirac operator at nonzero chemical potential: lattice data and matrix model
• Correlation between conserved charges in PNJL Model with multi-quark interactions
• A Random Matrix Study of the QCD Sign Problem
• QCD at non-zero density and canonical partition functions with Wilson fermions
• Confinement and Z_3 symmetry in three-flavor QCD
• Wilson Fermion Determinant in Lattice QCD
• The critical line from imaginary to real baryonic chemical potentials in two-color QCD
• T-μphase diagram of the chiral quark model from a large flavor number expansion
• Phase transition from nuclear matter to color superconducting quark matter
• Thermodynamics of Large-N_f QCD at Finite Chemical Potential
• The pseudo-Goldstone spectrum of 2-colour QCD at finite density
• The phase diagram of QCD with four degenerate quarks
• Influence of vector interactions on the hadron-quark/gluon phase transition
• Lattice simulations of the QCD chiral transition at real baryon density
• Phase diagrams in the Hadron-PNJL model
• Control the model sign problem via path optimization method: Monte-Carlo approach to QCD effective model with Polyakov loop
• Locating the QCD critical end point through the peaked baryon number susceptibilities along the freeze-out line
• Jarzynski's theorem for lattice gauge theory
• Genuine collective flow from Lee-Yang zeroes
• Quark-Antiquark Condensates in the Hadronic Phase
• QCD Thermodynamics on lattice
• Lattice QCD Equation of State for Nonvanishing Chemical Potential by Resumming Taylor Expansion
• Differential Flow of Protons in Au+Au Collisions at AGS Energies
• The nuclear liquid-gas phase transition at large $N_c$ in the Van der Waals approximation
• QCD simulations at small chemical potential
• The quark mass and $\mu$ dependence of the QCD chiral critical point
• Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
• Imaginary chemical potentials and the phase of the fermionic determinant
• Almost exponential transverse spectra from power law spectra
• Hadron-quark phase transition in asymmetric matter with boson condensation
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• A general approach to the sign problem - the factorization method with multiple observables
• A new dual representation for staggered lattice QCD
• Understanding of QCD at high density from Z3-symmetric QCD-like theory
• Generation of baryon inhomogeneities in the electroweak phase transition
• First-order cosmological phase transitions in the radiation dominated era
• Baryon susceptibilities, nongaussian moments and the QCD critical point
• Role of mesonic fluctuations in the Polyakov loop extended quark-meson model at imaginary chemical potential
• Hadron-quark phase transition in a hadronic and Polyakov--Nambu--Jona-Lasinio models perspective
• Constant entropy hybrid stars: a first approximation of cooling evolution
• Breaking of the number-of-constituent-quark scaling for identified-particle elliptic flow as a signal of phase change in low-energy data taken at the BNL Relativistic Heavy Ion Collider (RHIC)
• Polyakov-Nambu-Jona-Lasinio phase diagrams and quarkyonic phase from order parameters
• A thermodynamically consistent quasi-particle model without temperature-dependent infinity of the vacuum zero point energy
• Vector Manifestation and Violation of Vector Dominance in Hot Matter
• The Quark-Meson Model and the Phase Diagram of Two-Flavour QCD
• Meson mass at real and imaginary chemical potentials
• Phase diagram evolution at finite coupling in strong coupling lattice QCD
• Determination of the strength of the vector-type four-quark interaction in the entanglement Polyakov-extended Nambu-Jona-Lasino model
• Domain-wall and overlap fermions at nonzero quark chemical potential
• Finite Density QCD: a New Approach
• Hydrodynamical instabilities in an expanding quark gluon plasma
• Chiral dynamics in QCD at finite chemical potential
• Statistical Physics and Light-Front Quantization
• A thermodynamically consistent quasi-particle model without density-dependent infinity of the vacuum zero point energy
• Chiral and deconfinement transitions in strong coupling lattice QCD with finite coupling and Polyakov loop effects
• A percolation transition in Yang-Mills matter at finite number of colours
• Strings at Finite Temperature: Wilson Lines, Free Energies, and the Thermal Landscape
• A large Nc perspective on the QCD phase diagram
• Enhancement of Critical Slowing Down in Chiral Phase Transition -- Langevin Dynamics Approach --
• Thermodynamic limit of the canonical partition function with respect to the quark number in QCD
• QCD at small baryon number
• Equation of state of a hot-and-dense quark gluon plasma: lattice simulations at real ${\mu }_B$ vs. extrapolations
• Worldline Monte Carlo for fermion models at large N_f
• Better than $1/Mflops sustained: a scalable PC-based parallel computer for lattice QCD
• Application of the path optimization method to the sign problem in an effective model of QCD with a repulsive vector-type interaction
• Hadron-quark phase transition in asymmetric matter with dynamical quark masses
• Path optimization in 0+1 dimensional QCD at finite density
• Gluon condensation and deconfinement critical density in nuclear matter
• Phase structure of two-color QCD at real and imaginary chemical potentials; lattice simulations and model analyses
• The effect of stout smearing on the phase diagram from multiparameter reweigthing in lattice QCD
• Complex Langevin calculations in QCD at finite density
• Reparametrizing the Polyakov$-$Nambu$-$Jona-Lasinio model
• Positivity and Dense Matter
• Equation of state from lattice QCD
• Sign problem and phase quenching in finite-density QCD: models, holography, and lattice
• Average phase factor in the PNJL model
• Lattice QCD at finite T and μ
• Melting the Diquark Condensate in Two-Color QCD: A Renormalization Group Analysis
• QCD Critical Point: The Race is On
• Some Aspects of the Theory of Heavy Ion Collisions
• Reweighting Lefschetz Thimbles
• QCD at high density/temperature
• Kenneth Wilson and lattice QCD
• Lattice-based QCD equation of state at finite baryon density: Cluster Expansion Model
• Identifying the presence of the critical end point in QCD phase diagram by higher order susceptibilities
• Thermodynamics of strongly interacting matter in a hybrid model
• Quasi-particle model of strongly interacting matter
• Exploring criticality in the QCD-like two quark flavour models
• Broadening of the chiral critical region in a hydrodynamically expanding medium
• Strangeness and Quark Gluon Plasma
• Lefschetz thimbles in fermionic effective models with repulsive vector-field
• Chemical Potential Dependence of Chiral Quark Condensate in Dyson-Schwinger Equation Approach of QCD
• Modifying partition functions: a way to solve the sign problem
• 3D two-color QCD at finite temperature and baryon density
• QCD phase diagram for small densities from simulations at imaginary mu
• Finite density effects on chiral symmetry breaking in a magnetic field in 2+1 dimensions from holography
• The QCD equation of state at finite T and μ
• Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
• Impact of baryon resonances on the chiral phase transition at finite temperature and density
• Monte Carlo studies of the spontaneous rotational symmetry breaking in dimensionally reduced super Yang-Mills models
• A practical solution to the sign problem in a matrix model for dynamical compactification
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• EoS of finite density QCD with Wilson fermions by Multi-Parameter Reweighting and Taylor expansion
• Strong Coupling Lattice QCD in the Continuous Time Limit
• Effects of hadronic repulsive interactions on the fluctuations of conserved charges
• Multipoint reweighting method and its applications to lattice QCD
• Interplay between sign problem and Z_3 symmetry in three-dimensional Potts model
• Hamiltonian lattice quantum chromodynamics at finite density with Wilson fermions
• Octet meson spectra and chiral phase diagram in the improved soft-wall AdS/QCD model
• Investigation of meson masses for real and imaginary chemical potential
• Lattice QCD: bulk and transport properties of QCD matter
• Simulating Yang-Mills theories with a complex coupling
• Symmetry breaking effect on the inhomogeneous chiral transition in the magnetic field
• Transition temperature and the equation of state from lattice QCD, Wuppertal-Budapest results
• Non-Commutativity of the Zero Chemical Potential Limit and the Thermodynamic Limit in Finite Density Systems
• Perturbative Removal of a Sign Problem
• Finite size scaling study of $N_{\text{f}}=4$ finite density QCD on the lattice
• First order phase transition in the quark matter
• An effective thermodynamic potential from the instanton with Polyakov-loop contributions
• From imaginary to real chemical potential QCD with functional methods
• Gibbs sampling of complex valued distributions
• The Sign Problem via Imaginary Chemical Potential
• Deconfinement transitions of large N QCD with chemical potential at weak and strong coupling
• Bubble nucleation and gravitational wave from holography
• Renormalization group analysis of the three-dimensional Gross-Neveu model at finite temperature and density
• A semi-variational approach to QCD at finite temperature and baryon density
• Sign problem in $Z_3$-symmetric effective Polyakov-line model
• Strange Quark Matter in Neutron Stars? - New Results from Chandra and XMM
• Statistical and dynamical parts of the cumulants of conserved charges in relativistic heavy ion collisions
• Lattice QCD at finite isospin chemical potential and temperature
• Nuclear Liquid-Gas Transition in the Strong Coupling Regime of Lattice QCD
• Lattice QCD at Finite Temperature and Density
• Baryon Resonances in a Chiral Hadronic Model for the QCD Equation of State
• Chiral symmetry restoration and deconfinement in Coulomb Gauge QCD
• Photon Signals from Quarkyonic Matter
• Confining properties of QCD at finite temperature and density
• Calculation of Temperature-Dependent Hadronic Correlation Functions of Pseudoscalar and Vector Currents
• QCD Phases in Lattice QCD
• Quarkyonic Percolation and deconfinement at finite density and number of colors
• QCD thermodynamics on the lattice
• Dispersion and suppression of sound near QCD critical point
• Grand canonical potential for a static quark--anti-quark pair at finite T/mu
• Curvature of the critical line on the plane of quark chemical potential and pseudo scalar meson mass for three-flavor QCD
• Semidefinite Programs at Finite Fermion Density
• Contribution to understanding the phase structure of strong interaction matter: Lee-Yang edge singularities from lattice QCD
• Microscopic spectral density in random matrix models for chiral and diquark condensation
• Strangeness and Quark--Gluon Plasma
• Net-proton number fluctuations in the presence of the QCD critical point
• Comparison of algorithms for solving the sign problem in the O(3) model in 1+1 dimensions at finite chemical potential
• Diquarks in the nilpotency expansion of QCD and their role at finite chemical potential
• Consistent approach to study gluon quasi-particles
• Description of Deconfinement at Finite Matter Density in a Generalized Nambu--Jona-Lasinio Model
• Open Problems in Hydrodynamical Approach to Relativistic Heavy Ion Collisions
• Deep Learning of Fermion Sign Fluctuations
• Thermodynamics of partonic matter in relativistic heavy-ion collisions from a multiphase transport model
• Lattice regularisation and entanglement structure of the Gross-Neveu model
• Chiral Hadronic Mean Field Model including Quark Degrees of Freedom
• The QCD phase transition at high temperature and low density
• QCD critical end point from a realistic PNJL model
• The Universal Equation of State near the Critical Point of QCD
• Determination of hadron-quark phase transition line from lattice QCD and two-solar-mass neutron star observations
• The finite temperature transition for 3-flavour lattice QCD at finite isospin density
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
• System size and energy dependence of $\varphi$ meson production at RHIC
• Composite reweighting with Imaginary Chemical Potentials in SU(3)
• Lattice QCD at finite isospin density and/or temperature
• The effect of an imaginary part of the Schwinger-Dyson equation at finite temperature and density
• Information theoretical view of QCD effective model with heavy quarks
• Role of slow, out-of-equilibrium modes on the dynamic structure factor near the QCD critical point
• Unruh thermal hadronization and the cosmological constant
• Kinetics of the chiral phase transition in a quark-meson $\sigma$-model
• The density of states approach for the simulation of finite density quantum field theories
• Reducing finite-size effects with reweighted renormalization group transformations
• Roberge-Weiss transitions at different center symmetry breaking patterns in a ${\mathbb{Z}}_3$-QCD model
• Time-dependent Ginzburg-Landau Equation in the Nambu--Jona-Lasinio Model
• QCD at non-zero temperature and density from the lattice
• QCD Critical Region and Quark Gluon Plasma from an Imaginary mu_B
• Method for comparing finite temperature field theory results with lattice data
• Silver Blaze Puzzle in 1/Nc Expansions of Cold and Dense QCD Matter
• Estimates of Lee-Yang zeros and a possible critical point on the pion condensate boundary in the QCD isospin phase diagram using an unbiased exponential resummation on the lattice
• A new way of determining the Lattice QCD equation of state at a finite chemical potential
• Corrections to the hadron resonance gas from lattice QCD and their effect on fluctuation-ratios at finite density
• Comparing matrix models and QCD lattice data with chemical potential
• Chiral Phase Transition in an Expanding Quark System
• The Lattice NJL Model at Non-zero Baryon and Isospin Densities
• Neural network expansion of Euclidean path integrals and its application to interacting scalar fields
• Resummed lattice QCD equation of state at finite baryon density: strangeness neutrality and beyond
• The Debye Length and the Running Coupling of QCD: a Potential and Phenomenological Approach
• Nonanalyticity, sign problem and Polyakov line in Z3-symmetric heavy quark model at low temperature: Phenomenological model analyses
• Extrapolation for meson screening masses from imaginary to real chemical potential
• Latent heat in the chiral phase transition
• Lattice results with three quark flavours
• Photon emissivity in the vicinity of a critical point - A case study within the quark meson model
• Generalized susceptibilities of net-baryon number based on the 3-dimensional Ising universality class
• Weinberg power counting and the quark determinant at small chemical potential
• On the validity of the complex Langevin method near the deconfining phase transition in QCD at finite density
• Study of net-baryon higher moments in PNJL model and their expectation for net-proton using the Subensemble Acceptance Method for the search of QCD critical point
• Monte Carlo estimation of the number of tatami tilings
• Electronic structure of semiconductor nanoparticles from stochastic evaluation of imaginary-time path integral
• QCD Effective action at high temperature and small chemical potential
• Kinetics of the chiral phase transition in a quark-meson $\sigma$ model
• Matter-antimatter coexistence method for finite density QCD toward a solution of the sign problem
• Correlation corrections to the thermodynamic properties of spin asymmetric QGP matter