Abstract

The holographic models for dense QCD matter work surprisingly well. A general implication seems that the deconfinement phase transition dictates the maximum mass of neutron stars. The nuclear matter phase turns out to be rather stiff which, if continuously merged with nuclear matter models based on effective field theories, leads to the conclusion that neutron stars do not have quark matter cores in the light of all current astrophysical data. We comment that as the perturbative QCD results are in stark contrast with strong coupling results, any future simulations of neutron star mergers incorporating corrections beyond ideal fluid should proceed cautiously. For this purpose, we provide a model which treats nuclear and quark matter phases in a unified framework at strong coupling.

Highlights

  • The QCD phase diagram is theoretically in most parts unknown

  • We direly need microscopic understanding of this behavior, which might be encoded in the equation of state (EoS)

  • We show that the holographic model, anchored with known QCD physics at low densities has predictive power when extrapolated at finite densities and low temperatures

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Summary

Introduction

The QCD phase diagram is theoretically in most parts unknown. This is because the equations are too hard to solve using traditional perturbative methods and the lattice formulation is still insufficient to map out dense regimes. The conclusions we draw are in stark contrast with perturbative QCD and, in particular, we underline the observation that even with all astrophysical constraints taken into account, the neutron stars do not have quark matter cores This is at tension with recent claims on the contrary [2] and begs for further study.

Equilibrium
Applications to neutron stars
Out of equilibrium
Conclusions

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