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.
Vector meson condensation in a pion superfluid
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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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Rho meson masses computed via NJL model at finite B and T show multiple solutions from quark dimension reduction, with lowest masses exhibiting specific B and T dependence consistent with LQCD.
In the NJL model, increasing isospin chemical potential favors pion superfluidity at small magnetic fields and rho superconductivity at large magnetic fields.
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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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.