Magnetic structure of isospin-asymmetric QCD matter in neutron stars

Abstract

We study QCD under the influence of background magnetic fields and isospin chemical potentials using lattice simulations. This setup exhibits a sign problem which is circumvented using a Taylor-expansion in the magnetic field. The ground state of the system in the pion condensation phase is found to exhibit a pronounced diamagnetic response. We elaborate on how this diamagnetism may contribute to the pressure balance in the inner core of strongly magnetized neutron stars. In addition we show that the onset of pion condensation shifts to larger chemical potentials due to the enhancement of the charged pion mass for growing magnetic fields. Finally, we sketch the magnetic structure of the QCD phase diagram in the temperature-isospin chemical potential plane.

8 pages, 7 figures. v2: estimate of susceptibility in neutron star cores refined; diamagnetism of condensed pions discussed in a new appendix; results on Polyakov loop inserted; references added. Version to appear in PRD

References in corpus (9)

• Physics of Strongly Magnetized Neutron Stars
• Producing ultra-strong magnetic fields in neutron star mergers
• High-precision scale setting in lattice QCD
• The QCD equation of state in background magnetic fields
• Magnetized Neutron Star Mergers and Gravitational Wave Signals
• Fluctuations in the quark-meson model for QCD with isospin chemical potential
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
• QCD phase diagram at finite baryon and isospin chemical potentials
• Possibility of s-wave pion condensates in neutron stars revisited

Cited by in corpus (20)

• Scrutinizing the pion condensed phase
• Equation of state and speed of sound of isospin-asymmetric QCD on the lattice
• Isospin asymmetry in holographic baryonic matter
• Pion crystals hosting topologically stable baryons
• Rotation induced charged pion condensation in a strong magnetic field: A Nambu--Jona-Lasino model study
• Finite Isospin Chiral Perturbation Theory in a Magnetic Field
• New Way to Resum the Lattice QCD Taylor Series Equation of State at Finite Chemical Potential
• Static magnetic susceptibility in finite-density SU(2) lattice gauge theory
• Multicomponent meson superfluids in chiral perturbation theory
• Magnetic catalysis of a finite size pion condensate
• Enhanced contribution of the pairing gap to the QCD equation of state at large isospin chemical potential
• Gluon Propagators in $2+1$ Lattice QCD with Nonzero Isospin Chemical Potential
• Pion superfluid phase transition under external magnetic field including inverse magnetic catalysis effect
• Heavy-quark spin polarization induced by the Kondo effect in a magnetic field
• Analytic non-homogeneous condensates in the $(2+1)$-dimensional Yang-Mills-Higgs-Chern-Simons theory at finite density
• Exploring the QCD phase diagram via reweighting from isospin chemical potential
• Dirac spectrum and the BEC-BCS crossover in QCD at nonzero isospin asymmetry
• Finite size effect on the thermodynamics of a hot and magnetized hadron resonance gas
• Probing the nature of phases across the phase transition at finite isospin chemical potential
• Light mesons around critical end points in $T-{\mu }_B-{\mu }_I-eB$ space