Phonons, pions and quasi-long-range order in spatially modulated chiral condensates

Abstract

We investigate low-energy fluctuations in the real kink crystal phase of dense quark matter within the Nambu--Jona-Lasinio model. The modulated chiral condensate breaks both the translational symmetry and chiral symmetry spontaneously, which leads to the appearance of phonons and pions that are dominant degrees of freedom in the infrared. Using the Ginzburg-Landau expansion near the Lifshitz point, we derive elastic free energies for phonons and pions in dependence on the temperature and chemical potential. We show that the one-dimensional modulation is destroyed by thermal fluctuations of phonons at nonzero temperature, and compute the exponent that characterizes the anisotropic algebraic decay of quasicondensate correlations at long distance. We also estimate finite-volume effects on the stability of the real kink crystal and briefly discuss the possibility of its existence in neutron stars.

17 pages, 9 figures. v2: minor changes, published version

References in corpus (10)

• Color superconductivity in dense quark matter
• Inhomogeneous chiral condensates
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Axial anomaly and magnetism of nuclear and quark matter
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• A Twisted Kink Crystal in the Chiral Gross-Neveu model
• Chiral Magnetic Spiral
• Inhomogeneous phases in the quark-meson model with vacuum fluctuations
• Novel Lifshitz point for chiral transition in the magnetic field
• Phase diagram of the non-uniform chiral condensate in different regularization schemes at T=0

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