Resummed lattice QCD equation of state at finite baryon density: Strangeness neutrality and beyond

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

doi:10.1103/physrevd.105.114504

Cited by 32 publications

(23 citation statements)

References 78 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The 's and 's (where = 1, 3, 5) can be used to create all expansion coefficients of the bulk thermodynamic observables, as shown by Eq. (9)(10)(11)(12). The functional forms of the 's and 's are defined as follows:…”

Section: Parametrization Of the Eos Of (2+1)-flavor Qcdmentioning

confidence: 99%

“…Currently, the most commonly used methods for determining the EoS at non-vanishing chemical potentials are Taylor expansion and analytic continuation, both of which have their own strengths and limitations. Taylor expansion, analytic continuation and various resummation technique have been used recently to analyze the EoS at non-vanishing values of the chemical potentials for baryon number, electric charge, and strangeness in previous lattice QCD calculations [8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The isentropic equation of state of (2+1)-flavor QCD: An update based on high precision Taylor expansion and Pade-resummed expansion at finite chemical potentials

Goswami¹,

Collaboration²

2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

View full text Add to dashboard Cite

The HotQCD Collaboration performed Taylor expansion calculations in 2017 for the pressure, energy density, and entropy density at non-zero chemical potentials up to the 6 th order. Since then, they have significantly improved the statistics for lattices with temporal extents of = 8and 12, and have also included results for = 16 that were not previously available. They have also calculated the 8 th -order expansion coefficients for = 8. These calculations showed that the Taylor series expansion for the pressure is accurate up to / ≤ 2.5. In this study, we use the high-statistics results on Taylor expansion coefficients, calculated with HISQ fermions and extrapolated to the continuum limit, to determine the QCD equation of state under conditions relevant for hot and dense matter produced in heavy ion collisions. We also calculate the energy density and pressure along lines of constant entropy per net baryon number.

show abstract

Section: Parametrization Of the Eos Of (2+1)-flavor Qcdmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The isentropic equation of state of (2+1)-flavor QCD: An update based on high precision Taylor expansion and Pade-resummed expansion at finite chemical potentials

Goswami¹,

Collaboration²

2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

View full text Add to dashboard Cite

show abstract

“…Moreover, several resummation schemes for the Taylor expansion with (empirically observed) better convergence properties have been proposed. There were several contributions at this year's lattice conference reporting progress in these directions [68,69] and results are published in several papers [66,[70][71][72][73][74]. In Fig.…”

Section: Equation Of Statementioning

confidence: 99%

QCD thermodynamics: an overview of recent progress

Cuteri¹

2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

View full text Add to dashboard Cite

show abstract

“…After a successful decade of studying the static properties of the strong interactions, such as their phase diagram (for reviews see e.g. [1,2]) and equation of state (for recent studies see e.g., [3][4][5]) through relativistic heavy-ion collisions (for an overview see e.g., [6]) and more recently through the multi-messenger observations of colliding neutron stars (for a review see e.g. [7]), high energy nuclear physics sets out to make decisive progress in the understanding of real-time dynamics of quarks and gluons in the coming years.…”

Section: The Physics Challengementioning

confidence: 99%

“…Since the underlying kernel relating spectral function and correlator is often temperature dependent, this question is not easily answered by just discarding imaginary time datapoints from the large τ region of the original correlator. 5 Instead if one wishes to evaluate the corresponding higher temperature correlator Ref. [60] showed that for the bosonic finite temperature kernel K T>0 (μ, τ) = cosh[μ(τ−β/2)]/sinh[μβ/2], relevant for studies of relativistic bosonic spectral functions, one has to form the following quantity…”

Section: Two Lattice Qcd Uncertainty Challengesmentioning

confidence: 99%

Bayesian inference of real-time dynamics from lattice QCD

Rothkopf

2022

Front. Phys.

View full text Add to dashboard Cite

The computation of dynamical properties of nuclear matter, ranging from parton distribution functions of nucleons and nuclei to transport properties in the quark-gluon plasma, constitutes a central goal of modern theoretical physics. This real-time physics often defies a perturbative treatment and the most successful strategy so far is to deploy lattice QCD simulations. These numerical computations are based on Monte-Carlo sampling and formulated in an artificial Euclidean time. Real-time physics is most conveniently formulated in terms of spectral functions, which are hidden in lattice QCD behind an ill-posed inverse problem. I will discuss state-of-the art methods in the extraction of spectral functions from lattice QCD simulations, based on Bayesian inference and emphasize the importance of prior domain knowledge, vital to regularizing the otherwise ill-posed extraction task. With Bayesian inference allowing us to make explicit the uncertainty in both observations and in our prior knowledge, a systematic estimation of the total uncertainties in the extracted spectral functions is nowadays possible. Two implementations of the Bayesian Reconstruction (BR) method for spectral function extraction, one for MAP point estimates and one based on an open access Monte-Carlo sampler are provided. I will briefly touch on the use of machine learning for spectral function reconstruction and discuss some new insight it has brought to the Bayesian community.

show abstract

Resummed lattice QCD equation of state at finite baryon density: Strangeness neutrality and beyond

Cited by 32 publications

References 78 publications

The isentropic equation of state of (2+1)-flavor QCD: An update based on high precision Taylor expansion and Pade-resummed expansion at finite chemical potentials

The isentropic equation of state of (2+1)-flavor QCD: An update based on high precision Taylor expansion and Pade-resummed expansion at finite chemical potentials

QCD thermodynamics: an overview of recent progress

Bayesian inference of real-time dynamics from lattice QCD

Contact Info

Product

Resources

About