In the NJL model with exact phase-space diagonalization, magnetic catalysis of the chiral condensate quenches the tachyonic instability of the spin-aligned rho+ by driving the 2M threshold above the Zeeman-lowered mass, preventing condensation.
Brauner and X.-G
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abstract
We revisit the suggestion that charged rho-mesons undergo Bose-Einstein condensation in isospin-rich nuclear matter. Using a simple version of the Nambu-Jona-Lasinio (NJL) model, we conclude that rho-meson condensation is either avoided or postponed to isospin chemical potentials much higher than the rho-meson mass as a consequence of the repulsive interaction with the preformed pion condensate. In order to support our numerical results, we work out a linear sigma model for pions and rho-mesons, showing that the two models lead to similar patterns of medium dependence of meson masses. As a byproduct, we analyze in detail the mapping between the NJL model and the linear sigma model, focusing on conditions that must be satisfied for a quantitative agreement between the models.
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In the NJL model, increasing isospin chemical potential favors pion superfluidity at small magnetic fields and rho superconductivity at large magnetic fields.
In the NJL model, rho meson masses for different charge and spin states increase or decrease with magnetic field at zero temperature, decrease with temperature at fixed B, approach constituent quark masses at high T, and exhibit degeneracies under combined finite B and T.
A pedagogical review of lattice QCD results on the thermodynamics of hot, dense, and magnetized QCD matter with an outlook on open questions.
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Mass spectra of charged mesons and the quenching of vector meson condensation via exact phase-space diagonalization
In the NJL model with exact phase-space diagonalization, magnetic catalysis of the chiral condensate quenches the tachyonic instability of the spin-aligned rho+ by driving the 2M threshold above the Zeeman-lowered mass, preventing condensation.
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QCD phase transition at finite isospin density and magnetic field
In the NJL model, increasing isospin chemical potential favors pion superfluidity at small magnetic fields and rho superconductivity at large magnetic fields.
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$\rho$ mesons in finite magnetic field and finite temperature
In the NJL model, rho meson masses for different charge and spin states increase or decrease with magnetic field at zero temperature, decrease with temperature at fixed B, approach constituent quark masses at high T, and exhibit degeneracies under combined finite B and T.
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Thermodynamics of magnetized matter in hot and dense QCD
A pedagogical review of lattice QCD results on the thermodynamics of hot, dense, and magnetized QCD matter with an outlook on open questions.