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QCD constraints on isospin-dense matter and the nuclear equation of state
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abstract
Understanding the behavior of dense hadronic matter is a central goal in nuclear physics as it governs the nature and dynamics of astrophysical objects such as supernovae and neutron stars. Because of the non-perturbative nature of quantum chromodynamics (QCD), little is known rigorously about hadronic matter in these extreme conditions. Here, lattice QCD calculations are used to compute thermodynamic quantities and the equation of state of QCD over a wide range of isospin chemical potentials with controlled systematic uncertainties. Agreement is seen with chiral perturbation theory when the chemical potential is small. Comparison to perturbative QCD at large chemical potential allows for an estimate of the gap in the superconducting phase, and this quantity is seen to agree with perturbative determinations. Since the partition function for an isospin chemical potential, $\mu_I$, bounds the partition function for a baryon chemical potential $\mu_B=3\mu_I/2$, these calculations also provide rigorous non-perturbative QCD bounds on the symmetric nuclear matter equation of state over a wide range of baryon densities for the first time.
Forward citations
Cited by 5 Pith papers
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Speed of sound peak in two-color dense QCD: confronting effective models with lattice data
A medium-separated NJL model reproduces the lattice-observed peak in the speed of sound for two-color dense QCD, where conventional cutoff regularization fails.
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Renormalization group analysis of color superconductivity revisited
An RG treatment with self-energy corrections reproduces the known O(g^0) color-superconducting gap and claims to fix its overall coefficient, implying a factor-two reduction.
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Renormalization group invariant mean-field model for QCD at finite isospin density
A renormalization-group invariant mean-field quark-meson model with one fitted scale reproduces lattice QCD thermodynamics at finite isospin density and predicts a multicritical chiral/pion-condensation point in the c...
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Microscopic constraints for the equation of state and structure of neutron stars: a Bayesian model mixing framework
A Bayesian model mixing framework using Gaussian processes extends chiral EFT and pQCD constraints to neutron star matter and demonstrates kernel-dependent equation of state and mass-radius predictions.
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Pion condensation at non-zero isospin chemical potential with Wilson fermions
Using Wilson fermions on the lattice, the onset of pion condensation is observed at an isospin chemical potential slightly below m_pi/2, consistent with earlier staggered-fermion results.
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