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arxiv: hep-ph/0005225 · v2 · submitted 2000-05-23 · ✦ hep-ph · hep-lat· nucl-th

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QCD at finite isospin density

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classification ✦ hep-ph hep-latnucl-th
keywords isospindensitychemicalfinitehighpiontheoryanalytically
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QCD at finite isospin chemical potential mu_I has no fermion sign problem and can be studied on the lattice. We solve this theory analytically in two limits: at low mu_I where chiral perturbation theory is applicable, and at asymptotically high mu_I where perturbative QCD works. At low isospin density the ground state is a pion condensate, whereas at high density it is a Fermi liquid with Cooper pairing. The pairs carry the same quantum numbers as the pion. This leads us to a conjecture that the transition from hadron to quark matter is smooth, which passes several tests. Our results imply a nontrivial phase diagram in the space of temperature and chemical potentials of isospin and baryon number.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Dilepton Production as a Probe of Pion Condensation in Hot and Dense QCD Matter

    hep-ph 2026-04 unverdicted novelty 5.0

    Dilepton yields in isospin-asymmetric QCD matter exhibit low-mass enhancement and a plateau in the pion-condensed phase, distinguishing it from chirally broken or restored phases.

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

    nucl-th 2026-03 unverdicted novelty 5.0

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