Ginzburg-Landau phase diagram of QCD near chiral critical point - chiral defect lattice and solitonic pion condensate -

Abstract

We investigate the influence of the isospin asymmetry on the phase structure of quark matter near the chiral critical point systematically using a generalized version of Ginzburg-Landau approach. The effect has proven to be so profound that it brings about not only a shift of the critical point but also a rich variety of phases in its neighborhood. In particular, there shows up a phase with spatially varying charged pion condensate which we name the "solitonic pion condensate" in addition to the "chiral defect lattice" where the chiral condensate is partially destructed by periodic placements of two-dimensional wall-like defects. Our results suggest that there may be an island of solitonic pion condensate in the low temperature and high density side of QCD phase diagram.

5 pages, 4 eps figures; v2: version accepted for publication in PLB

References in corpus (5)

• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Pion Condensation in Baryonic Matter: from Sarma Phase to Larkin-Ovchinnikov-Fudde-Ferrell Phase
• BCS/BEC crossover in Quark Matter and Evolution of its Static and Dynamic properties
• Fate of chiral critical point under the strong isospin asymmetry
• Splitting of the chiral critical point and realization of solitonic pion condensate driven by isospin density

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• Hybrid chiral condensate in the external magnetic field
• Solitonic modulation and Lifshitz point in an external magnetic field within Nambu--Jona-Lasinio model
• A novel Dual Chiral Density Wave in nuclear matter based on a parity doublet structure
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• Dual chiral density waves in nuclear matter
• Lattice QCD with mismatched Fermi surfaces
• Chiral spiral induced by a strong magnetic field
• Inhomogeneous Polyakov loop induced by inhomogeneous chiral condensates
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation