Four-quark condensates and chiral symmetry restoration in a resonance gas model

Abstract

As an alternative to the two-quark condensate we propose a specific four-quark condensate as an order parameter of chiral symmetry restoration. We show that this four-quark condensate is closer connected to observable quantities. Within a resonance gas model we calculate the in-medium changes of two- and four-quark condensate as functions of temperature and baryo-chemical potential. In this way we estimate the line of chiral symmetry restoration in the temperature-potential plane and also as a function of energy and baryon density. It turns out that the line determined from the vanishing of the four-quark condensate is extremely constant as a function of the energy density.

arXiv comment17 pages

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Cited by in corpus (15)

• Is Rho-Meson Melting Compatible with Chiral Restoration?
• Bulk and shear viscosities of hot and dense hadron gas
• Four-Quark Condensates in Nucleon QCD Sum Rules
• Chiral QCD sum rules for open charm mesons
• Scalar susceptibilities and four-quark condensates in the meson gas within Chiral Perturbation Theory
• Chiral condensate in hadronic matter
• Medium modification of hadron masses and the thermodynamics of hadron resonance gas model
• Wilson coefficients and four-quark condensates in QCD sum rules for medium modifications of $D$ mesons
• The role of the thermal $f_0(500)$ in chiral symmetry restoration
• Quantitative sum rule analysis of low-temperature spectral functions
• Chiral condensate and chemical freeze-out
• Chiral condensate and Mott-Anderson freeze-out
• Role of Four-Quark Condensates in QCD Sum Rules
• Evaluating chiral symmetry restoration through the use of sum rules
• In-medium effect on the thermodynamics and transport coefficients in van der Waals hadron resonance gas