Polyakov-loop suppression of colored states in a quark-meson-diquark plasma

Abstract

A quark-meson-diquark plasma is considered within the PNJL model for dynamical chiral symmetry breaking and restoration in quark matter. Based on a generalized Beth-Uhlenbeck approach to mesons and diquarks we present the thermodynamics of this system including the Mott dissociation of mesons and diquarks at finite temperature. A striking result is the suppression of the diquark abundance below the chiral restoration temperature by the coupling to the Polyakov loop, because of their color degree of freedom. This is understood in close analogy to the suppression of quark distributions by the same mechanism. Mesons as color singlets are unaffected by the Polyakov-loop suppression. At temperatures above the chiral restoration mesons and diquarks are both suppressed due to the Mott effect, whereby the positive resonance contribution to the pressure is largely compensated by the negative scattering contribution in accordance with the Levinson theorem.

arXiv comment9 pages, 5 figures, references added, discussion of Beth-Uhlenbeck approach and Levinson theorem extended; version to appear in Phys. Rev. D

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Cited by in corpus (18)

• Towards a Unified Quark-Hadron Matter Equation of State for Applications in Astrophysics and Heavy-Ion Collisions
• Finite-volume effects on phase transition in the Polyakov-loop extended Nambu-Jona-Lasinio model with a chiral chemical potential
• Equation of state of a quark-meson mixture in the improved-PNJL model at finite chemical potential
• Emergent Hadrons and Diquarks
• Mott dissociation of pions and kaons in hot, dense quark matter
• Quark and Polyakov-loop correlations in effective models at zero and non-vanishing density
• Transport responses from rate of decay and scattering processes in the Nambu--Jona-Lasinio model
• Mott-hadron resonance gas and lattice QCD thermodynamics
• Effect of mesonic off-shell correlations in the PNJL equation of state
• Effects of composite pions on the chiral condensate within the PNJL model at finite temperature
• Thermodynamics of quark matter with multiquark clusters in an effective Beth-Uhlenbeck type approach
• One-meson-loop NJL model: Effect of collective and noncollective excitations on the quark condensate at finite temperature
• Color superconductivity in the Nambu Jona-Lasinio model complemented by a Polyakov loop
• Using the Beth-Uhlenbeck approach to describe the kaon to pion ratio in a 2+1 flavor PNJL model
• Pion and kaon in the Beth-Uhlenbeck approach
• Cosmology from Strong Interactions
• Quark cluster expansion model for interpreting finite-T lattice QCD thermodynamics
• Mesons and diquarks in a color superconducting regime