Lattice QCD Equation of State at Finite Chemical Potential from an Alternative Expansion Scheme

Borsányi, Szabolcs; Fodor, Z.; Guenther, Jana N.; Kara, Ruben; Katz, Sándor D.; Parotto, Paolo; Pásztor, Attila; Ratti, Claudia; Szabó, Kornélia

doi:10.1103/physrevlett.126.232001

Cited by 121 publications

(94 citation statements)

References 53 publications

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“…In practice, this requires calculating operators of high order, which are noisy and require very large statistics [88]. Recently, an alternative summation scheme for the equation of state of QCD at finite real chemical potential was proposed in [89], designed to overcome those shortcomings. Using simulations at zero and imaginary chemical potentials, the extracted LO and NLO parameters describing the chemical potential dependence of the baryon density were extrapolated to large real chemical potentials.…”

Section: Ising Model and Lattice Gauge Theorymentioning

confidence: 99%

Different Faces of Confinement

Pasechnik

Šumbera

2021

Universe

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In this review, we provide a short outlook of some of the current most popular pictures and promising approaches to non-perturbative physics and confinement in gauge theories. A qualitative and by no means exhaustive discussion presented here covers such key topics as the phases of QCD matter, the order parameters for confinement, the central vortex and monopole pictures of the QCD vacuum structure, fundamental properties of the string tension, confinement realisations in gauge-Higgs and Yang–Mills theories, magnetic order/disorder phase transition, among others.

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Section: Ising Model and Lattice Gauge Theorymentioning

confidence: 99%

Different Faces of Confinement

Pasechnik

Šumbera

2021

Universe

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“…At present such calculations are limited to low baryon density only i.e. µ B /T ≤ 3.5 [20]. On the other hand, many effective models predict possibilities of various exotic phases of quark matter at such intermediate densities regions.…”

Section: Introductionmentioning

confidence: 99%

Non-radial oscillation modes in hybrid stars: consequences of a mixed phase

Kumar¹,

Mishra²,

Malik³

2021

Preprint

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We study the possible existence of deconfine quark matter in the core of neutron stars. A relativistic mean field model is used to describe the nuclear matter at low densities while Nambu-Jona-Lasinio model is used to describe the quark matter at high densities. A Gibbs construct is used to describe the quark-hadron phase transition at large densities and at zero temperature. Within the model, as the density is increased, a mixed phase appears at about 2.5 times the nuclear matter saturation density (ρ0) and ends at about 5 ρ0 beyond which pure quark matter phase appear. It turns out that a stable hybrid star of maximum mass, M = 2.27 M with radius R = 14 km, can exist with a quark matter core in a mixed phase only. As the density decreases from the center to the surface, there is a sharp increase of the velocity of sound at the point where the quark-hadron phase transition occurs. This leads to the possibility of low frequency non-radial oscillations, the g modes, in hybrid stars in contrast to canonical neutron stars which do not have such quark matter core. The higher f modes frequencies of neutron stars get enhanced in the presence of quark matter core in hybrid stars. The magnitude of g mode frequencies decrease with increase the repulsive interaction in quark matter.

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“…In this contribution, we describe a new [1], alternative scheme for the extrapolation of the QCD equation of state to finite density, which displays improved convergence over the Taylor series, leading to wider coverage in µ B and to more precise results for the thermodynamic observables.…”

Section: Introductionmentioning

confidence: 99%

Finite chemical potential equation of state for QCD from an alternative expansion scheme

et al. 2022

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The Taylor expansion approach to the equation of state of QCD at finite chemical potential struggles to reach large chemical potential μB. This is primarily due to the intrinsic diffculty in precisely determining higher order Taylor coefficients, as well as the structure of the temperature dependence of such observables. In these proceedings, we illustrate a novel scheme [1] that allows us to extrapolate the equation of state of QCD without suffering from the poor convergence typical of the Taylor expansion approach. We continuum extrapolate the coefficients of our new expansion scheme and show the thermodynamic observables up to μB/T ≤ 3.5.

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Lattice QCD Equation of State at Finite Chemical Potential from an Alternative Expansion Scheme

Cited by 121 publications

References 53 publications

Different Faces of Confinement

Different Faces of Confinement

Non-radial oscillation modes in hybrid stars: consequences of a mixed phase

Finite chemical potential equation of state for QCD from an alternative expansion scheme

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