Quark and pion condensates at finite isospin density in chiral perturbation theory

Abstract

In this paper, we consider two-flavor QCD at zero temperature and finite isospin chemical potential (${\mu }_I$) using a model-independent analysis within chiral perturbation theory at next-to-leading order. We calculate the effective potential, the chiral condensate and the pion condensate in the pion-condensed phase at both zero and nonzero pionic source. We compare our finite pionic source results for the chiral condensate and the pion condensate with recent (2+1)-flavor lattice QCD results and find that they are in excellent agreement.

10 pages, 4 figures, includes updated figures and corrected typos

References in corpus (5)

• Color superconductivity in dense quark matter
• The QCD transition temperature: results with physical masses in the continuum limit
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Lattice QCD at the physical point: light quark masses
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Cited by in corpus (11)

• Sound velocity peak and conformality in isospin QCD
• Pion crystals hosting topologically stable baryons
• Hot QCD at finite isospin density: confronting SU(3) Nambu-Jona-Lasinio model with recent lattice data
• Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature
• QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case
• New Way to Resum the Lattice QCD Taylor Series Equation of State at Finite Chemical Potential
• Quark, pion and axial condensates in three-flavor finite isospin chiral perturbation theory
• Structure formation during phase transitions in strongly interacting matter
• The connection between nonzero density and spontaneous symmetry breaking for interacting scalars
• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
• On the effective lagrangian at nonzero isospin chemical potential