Quark Matter Equation of State from Perturbative QCD

Vuorinen, Aleksi

doi:10.1051/epjconf/201713709011

Cited by 9 publications

(5 citation statements)

References 54 publications

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“…where b 2 (T ) = a 0 + a 1 (T 0 /T ) + a 2 (T 0 /T ) 2 + a 3 (T 0 /T ) 3 . With a 0 = 6.75, a 1 = −1.95, a 2 = 2.625, a 3 = −7.44, b 3 = 0.75 and b 4 = 7.5 [83], the pure gauge QCD thermodynamics is well reproduced.…”

Section: Su(3) Polyakov Linear-sigma Modelmentioning

confidence: 99%

“…The phase structure of quantum chromodynamic (QCD) matter at very high temperatures (much higher than the pseudo-critical temperature (T c ), which characterizes the hadron-quark deconfinement phase transition) is well understood by the perturbation theory, for instance, that close to the pseudo-critical temperature and especially at high temperatures [1,2] tools describing the equation of state (EoS) are well developed. The perturbative EoS of QCD matter and its implications to neutron star physics have been discussed [3]. Three-loop corrections including the effects of finite quark masses have been introduced [4].…”

Section: Introductionmentioning

confidence: 99%

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Quark–hadron phase structure, thermodynamics, and magnetization of QCD matter

Tawfik

Diab

Hussein

2018

J. Phys. G: Nucl. Part. Phys.

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SU(3)Polyakov linear-sigma model (PLSM) is systematically implemented to characterize the quark-hadron phase structure and to determine various thermodynamic quantities and magnetization of the QCD matter. In mean-field approximation, the dependence of the chiral order-parameter on finite magnetic field is also calculated. In a wide range of temperatures and magnetic field strengths, various thermodynamic quantities including trace anomaly, speed of sound squared, entropy density, specific heat are presented and some magnetic properties are described, as well. Wherever available these results are confronted to recent lattice QCD calculations. The temperature dependence of these quantities confirms our previous result that the transition temperature is reduced with the increase in the magnetic field strength, i.e. QCD matter is to be characterized by an inverse magnetic catalysis.Furthermore, the temperature dependence of the magnetization shows that the conclusion that the QCD matter has paramagnetic properties slightly below and far above the pseudo-critical temperature, is confirmed, as well. The excellent agreement with recent lattice calculations proves that our QCD-like approach (PLSM) seems to possess the correct degrees-of-freedom in both hadronic and partonic phases and describes well the dynamics deriving confined hadrons to deconfined quark-gluon plasma.

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Section: Su(3) Polyakov Linear-sigma Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quark–hadron phase structure, thermodynamics, and magnetization of QCD matter

Tawfik

Diab

Hussein

2018

J. Phys. G: Nucl. Part. Phys.

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“…Functional continuum methods, such as the functional renormalization group or Dyson-Schwinger equations, do not suffer from the sign problem and can be used to study QCD from first-principles, but quantitative results are not available to date [5]. Furthermore, only the regimes of very high T and/or µ B are accessible by perturbation theory [6]. Hence, information on the phase diagram in the region 0 < µ B 3 GeV from first-principle QCD computations are unavailable so far.…”

Section: Introductionmentioning

confidence: 99%

Review of Critical Point Searches and Beam-Energy Studies

Rennecke

2019

Hot Quarks 2018—Workshop for Young Scientists on the Physics of Ultrarelativistic Nucleus-Nucleus Collisions

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“…Many of these approaches suggest that the cross over, observed for µ = 0, continues for finite µ, however with a steeper and steeper slope, before it merges finally into a critical end point followed by a first order phase transition for even larger µ [11][12][13]. At zero temperature and large µ perturbative three-loop QCD calculations are available [14,15] which allow in this limit to compare phenomenological approaches with QCD.…”

Section: Introductionmentioning

confidence: 99%

The phase diagram of the Polyakov Nambu Jona-Lasinio approach for finite chemical potentials

Fuseau,

Steinert,

Aichelin

2019

Preprint

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We extend the SU(3) (Polyakov) Nambu Jona-Lasinio in two ways: We introduce the next to leading order contribution (in Nc) in the partition function. This contribution contains explicit mesonic terms. We introduce a coupling between the gluon field and the quark degrees of freedom which goes beyond a simple rescaling of the critical temperature. With both these improvements we can reproduce, for vanishing chemical potentials, the lattice results for the thermal properties of a strongly interacting system like pressure, energy density, entropy density, interaction measure and the speed of sound. Also the expansion parameter towards small but finite chemical potentials agrees with the lattice results. Extending the calculations to finite chemical potentials (what does not require any new parameter) we find a first order phase transition up to a critical end point of TCEP = 110 M eV and µq = 320 M eV . For very large chemical potentials, we find agreement with pQCD calculations. We calculate the mass of mesons and baryons as a function of temperature and chemical potential and the transition between the hadronic and the chirally restored phase. These calculations provide an equation of state in the whole T, µ plane an essential ingredient for dynamical calculations of ultra-relativistic heavy ion collisions but also for the physics of neutron stars and neutron star collisions.

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Quark Matter Equation of State from Perturbative QCD

Cited by 9 publications

References 54 publications

Quark–hadron phase structure, thermodynamics, and magnetization of QCD matter

Quark–hadron phase structure, thermodynamics, and magnetization of QCD matter

Review of Critical Point Searches and Beam-Energy Studies

The phase diagram of the Polyakov Nambu Jona-Lasinio approach for finite chemical potentials

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