Next-to-Next-to-Next-to-Leading Order Pressure of Cold Quark Matter: Leading Logarithm

Gorda, Tyler; Kurkela, Aleksi; Romatschke, Paul; Säppi, Matias; Vuorinen, Aleksi

doi:10.1103/physrevlett.121.202701

Cited by 139 publications

(144 citation statements)

References 30 publications

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“…p p SB µ B →∞ = p p SB T →∞ = α SB . The present assumption is supported by the consistency of lattice data on the QCD EoS for 2, 2+1 and 3 quark flavours [5] and O(α 2 s ) perturbative calculations at zero temperature [53]. In both of these cases α SB = 0.8 within estimated error bars.…”

Section: Density Dependent Polyakov Loop Potentialsupporting

confidence: 72%

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Second look to the Polyakov loop Nambu–Jona-Lasinio model at finite baryonic density

et al. 2019

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We revisit the Polyakov Loop coupled Nambu-Jona-Lasinio model that maintains the Polyakov loop dynamics in the limit of zero temperature. This is of interest for astrophysical applications in the interior of neutron stars. For this purpose we re-examine the form of the potential for the deconfinement order parameter at finite baryonic densities. Since the modification of this potential at any temperature is formally equivalent to assigning a baryonic charge to gluons, we develop a more general formulation of the present model that cures this spurious effect and is normalized to match the asymptotic behaviour of the QCD equation of state given by O(α 2 s ) and partial O(α 3 s ln 2 αs) perturbative results. arXiv:1909.07421v2 [hep-ph]

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Section: Density Dependent Polyakov Loop Potentialsupporting

confidence: 72%

“…p ∼ n 2 B at n B → ∞. This leads to p ∼ µ 2 B being inconsistent with results of perturbative QCD p ∼ µ 4 B [53,60]. We, however, may think on NJL-inspired models as a low energy approximation which should not necessarily reproduce the high density behaviour of QCD.…”

Section: Equation Of Statementioning

confidence: 85%

Second look to the Polyakov loop Nambu–Jona-Lasinio model at finite baryonic density

et al. 2019

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“…Note carefully that in order to compare with Ref. [16] in the present work we will investigate the case of vanishing current masses (m u = m d = m s = 0), while m in Eq. (3.2) above will become our variational mass upon implementing the RGOPT replacements, just as in the GN case illustrated in the previous section II.…”

Section: Rgopt Evaluation Of the Qcd Quark Pressurementioning

confidence: 99%

“…In order to compare with the results given in Refs. [13,16] we will consider the scale variation µ ≤ M ≤ 4µ besides the "central" scale M = 2µ. The exact two-loop (2L) running coupling, analogue of the one-loop Eq.…”

Section: B Nlo Two-loop (δ 1 ) Rgopt: In-medium Contributionmentioning

confidence: 99%

Renormalization group improved pressure for cold and dense QCD

2019

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We apply the renormalization group optimized perturbation theory (RGOPT) to evaluate the QCD (matter) pressure at the two-loop level considering three flavors of massless quarks in a dense and cold medium. Already at leading order (α 0 s ), which builds on the simple one loop (RG resummed) term, our technique provides a non-trivial non-perturbative approximation which is completely renormalization group invariant. At the next-to-leading order the comparison between the RGOPT and the perturbative QCD predictions shows that the former method provides results which are in better agreement with the state-of-the-art higher order perturbative results, which include a contribution of order α 3 s ln 2 αs. At the same time one also observes that the RGOPT predictions are less sensitive to variations of the arbitrary MS renormalization scale than those obtained with perturbative QCD. These results indicate that the RGOPT provides an efficient resummation scheme which may be considered as an alternative to lattice simulations at high baryonic densities.

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“…There have been significant progress in the estimate for ∼ n 0 , but we need extrapolations to the domain relevant for NS, introducing significant errors for 2n 0 . These constraints for the M-R curves have been considerably improved by the discovery of the NS merger event GW170817, found in Aug. 17,2017. The total mass is M GW 170817 = 2.73-2.78M and it is plausible to have the mass ratio M 1 /M 2 of 0.7-1.0 with which M 1,2 1.3-1.4M .…”

Section: The Neutron Star Constraintsmentioning

confidence: 99%

Delineating the properties of matter in cold, dense QCD

Kojo

2019

AIP Conference Proceedings

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The properties of dense QCD matter are delineated through the construction of equations of state which should be consistent with the low and high density limits of QCD, nuclear laboratory experiments, and the neutron star observations. These constraints, together with the causality condition of the sound velocity, are used to develop the picture of hadron-quark continuity in which hadronic matter continuously transforms into quark matter (modulo small 1st order phase transitions). The resultant unified equation of state at zero temperature and β -equilibrium, which we call Quark-Hadron-Crossover (QHC19), is consistent with the measured properties of neutron stars as well as the microphysics known for the hadron phenomenology. In particular to ∼ 10n 0 (n 0 : saturation density) the gluons remain as non-perturbative as in vacuum and the strangeness can be as abundant as up-and down-quarks at the core of two-solar mass neutron stars. Within our modeling the maximum mass is found less than 2.35 times solar mass and the baryon density at the core ranges in ∼ 5-8n 0 .

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Next-to-Next-to-Next-to-Leading Order Pressure of Cold Quark Matter: Leading Logarithm

Cited by 139 publications

References 30 publications

Second look to the Polyakov loop Nambu–Jona-Lasinio model at finite baryonic density

Second look to the Polyakov loop Nambu–Jona-Lasinio model at finite baryonic density

Renormalization group improved pressure for cold and dense QCD

Delineating the properties of matter in cold, dense QCD

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