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Pion Superfluidity and Meson Properties at Finite Isospin Density

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arxiv hep-ph/0503272 v4 pith:NQBAAHY6 submitted 2005-03-29 hep-ph hep-latnucl-th

classification hep-phhep-latnucl-th
keywords pionsuperfluidityfiniteisospindensitymesonphaseapproximation
verification ladder T0 review T1 audit T2 compute T3 formal

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We investigate pion superfluidity and its effect on meson properties and equation of state at finite temperature and isospin and baryon densities in the frame of standard flavor SU(2) NJL model. In mean field approximation to quarks and random phase approximation to mesons, the critical isospin chemical potential for pion superfluidity is exactly the pion mass in the vacuum, and corresponding to the isospin symmetry spontaneous breaking, there is in the pion superfluidity phase a Goldstone mode which is the linear combination of the normal sigma and charged pion modes. We calculate numerically the gap equations for the chiral and pion condensates, the phase diagrams, the meson spectra, and the equation of state, and compare them with that obtained in other effective models. The competitions between pion superfluidity and color superconductivity at finite baryon density and between pion and kaon superfluidity at finite strangeness density in flavor SU(3) NJL model are briefly discussed.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 222 citations worldwide. Full citation record

  1. On the $\theta$-angle physics of QCD under pressure: The strange and isospin phase diagram

    hep-ph 2025-01 conditional novelty 7.0 of 10

    The three-flavor QCD phase diagram at finite isospin and strangeness chemical potentials acquires a theta-dependence with a novel parity-preserving superfluid phase at theta = pi and no Dashen transition inside the su...

  2. Renormalization group invariant mean-field model for QCD at finite isospin density

    hep-ph 2025-02 conditional novelty 6.0 of 10

    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...

  3. QCD phase transition at finite isospin density and magnetic field

    nucl-th 2026-03 unverdicted novelty 5.0 of 10

    In the NJL model, increasing isospin chemical potential favors pion superfluidity at small magnetic fields and rho superconductivity at large magnetic fields.

  4. Condensation of lighter-than-physical pions in QCD

    hep-lat 2025-01 conditional novelty 5.0 of 10

    At half the physical light quark mass, the pion Bose-Einstein condensation boundary in QCD remains vertical and approaches zero chemical potential linearly as the pion mass decreases.

  5. Minimal superfluid vortices in chiral perturbation theory

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    Leading order chiral perturbation theory yields the minimal energy condition for vortex nucleation in the pion condensed phase, with vortices carrying quantized angular momentum and self-confining pions.

  6. Applicability of kinetic theory in strongly coupled thermal quantum systems

    nucl-th 2026-06 unverdicted novelty 3.0 of 10

    In 1D lattice Schwinger and NJL models, single-particle momentum distributions dominate two-particle correlations once thermal kinetic energy becomes comparable to the interaction strength, supporting applicability of...

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