Published September 23, 2024 | Version v1

Bayesian analysis of the equation of state of quantum chromodynamics from a holographic model

  • 1. ROR icon Universidade do Estado do Rio de Janeiro
  • 2. ROR icon University of Illinois Urbana-Champaign
  • 3. ROR icon Kent State University
  • 4. ROR icon University of Houston
  • 5. ROR icon National Center for Supercomputing Applications
  • 6. ROR icon Universidade Federal de Goiás

Description

Prior and posterior samples obtained from a Bayesian analysis of the equation of state of quantum chromodynamics (QCD) within a holographic Einstein-Maxwell-Dilaton model, constrained by state-of-the art lattice QCD results at a vanishing net density of baryons.

Samples contain metadata, model parameters, and model predictions for the location of the QCD critical point.

Supplement to arXiv:2309.00579.

Table of contents (English)

Contents

The present samples are divided into two HDF5 files: 

  1. Bayesian_parametric_muses.hdf5 - Bayesian samples within the parametric ansatz (PA) for the holographic potentials of the Einstein-Maxwell-Dilaton model.
  2. Bayesian_polyhyper_muses.hdf5 - Bayesian samples within the polynomial-hyperbolic ansatz (PHA) for the holographic potentials of the Einstein-Maxwell-Dilaton model.

File contents:

Prior and posterior samples

Each of the HDF5 above files is separated into two HDF5 groups:

  • 'posterior_samples' - for samples of the posterior distribution of parameters.
  • 'prior_samples' - for samples of the prior distribution of parameters.

Bayesian samples

The above groups contain subgroups 'sample*', for each of the different samples. 

Each sample contains attributes with the relevant metadata:

  • 'log_likelihood' - The logarithm of the likelihood for the corresponding set of parameters.
  • 'correlation_gamma' - The  corresponding value of the correlation strength hyperparameter 'Gamma' used to compute the likelihood.
  • 'model_variant' - The corresponding variant of the model. ('muses_parametric' or 'muses_polyhyperbolic')
  • 'time' - Date and time when the sample was created.

as well as the following HDF5 subgroups:

  • 'parameters', which contains the parameters of the model saved as attributes.
  • 'critical_point', which contains of the temperature ('Tc_in_MeV') and chemical potential ('muc_in_MeV') of the critical point predicted for each sample, together with the corresponding error estimation ('err_*_in_MeV') and the execution status of the critical point calculation ('status').

and a HDF5 dataset containing the equation of state predicted from the corresponding set of parameters at vanishing baryon chemical potential, containing temperature ('T [MeV]') and entropy density ('s [MeV^3]'), as well as other quantities.

Files

Files (103.2 MB)

Name Size
md5:3bbb9be1fab71247abca5a5375791d0f
43.1 MB Download
md5:7fd567dccfaea48095ca5df53a8c17d6
60.0 MB Download

Additional details

Additional titles

Subtitle (English)
Predictions for the critical point of quantum chromodynamics constrained from first-principles lattice QCD results
Other (English)
Samples of the prior and posterior distributions

Related works

Is supplement to
Preprint: arXiv:2309.00579 (arXiv)

Funding

U.S. National Science Foundation
Frameworks: MUSES, Modular Unified Solver of the Equation of State 2103680
U.S. National Science Foundation
Properties of Strongly Interacting Matter at Finite Density from First Principles 2208724
Office of Nuclear Physics
NuSTEAM: Nuclear Science in Texas to Enhance and Advance Minorities DE-SC0022023
Office of Nuclear Physics
Theoretical Developments in Hot and Dense QCD Matter In and Out of Equilibrium DE-SC0023861
National Council for Scientific and Technological Development
QCD, hadrons e sistemas fortemente interagentes 407162/2023-2
U.S. National Science Foundation
Nuclear Physics from Multi-Messenger Mergers (NP3M) PHY-2116686

Dates

Submitted
2024-09

References

  • "Bayesian location of the QCD critical point from a holographic perspective", M. Hippert, J. Grefa, T. A. Manning, J. Noronha, J. Noronha-Hostler, I. Portillo Vazquez, C. Ratti, R. Rougemont and M. Trujillo, arXiv:2309.00579.