Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD

Abstract

The QCD vacuum condensates and various vacuum susceptibilities are all important parameters which characterize the nonperturbative properties of the QCD vacuum. In the QCD sum rules external field formula, various QCD vacuum susceptibilities play important roles in determining the properties of hadrons. In this paper, we review the recent progress in studies of vacuum susceptibilities together with their applications to the chiral phase transition of QCD. The results of the tensor, the vector, the axial-vector, the scalar, and the pseudo-scalar vacuum susceptibilities are shown in detail in the framework of Dyson-Schwinger equations.

arXiv comment50 pages, 12 figures. arXiv admin note: text overlap with arXiv:1003.5006 by other authors

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Cited by in corpus (16)

• Fully coupled functional equations for the quark sector of QCD
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Quantum Simulation of Chiral Phase Transitions
• Finite-volume effects on phase transition in the Polyakov-loop extended Nambu-Jona-Lasinio model with a chiral chemical potential
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• Pseudoscalar susceptibilities and quark condensates: chiral restoration and lattice screening masses
• Finite volume effects on the chiral phase transition from Dyson-Schwinger equations of QCD
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• New algorithm to study the pseudo-Wigner solution of the quark gap equation in the framework of the (2+1)-flavor NJL model
• Susceptibilities and critical exponents within the Nambu--Jona-Lasinio model
• New insight on the quark condensate beyond chiral limit
• Constraining the Hadron-Quark Phase Transition Chemical Potential via Astronomical Observation