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arXiv · hep-ph/9811476

Quark deconfinement and meson properties at finite temperature

D. Blaschke·Yu. L. Kalinovsky·P. C. Tandy
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Abstract

A simple confining separable interaction Ansatz for the rainbow-ladder truncated QCD Dyson-Schwinger equations is used to study quark deconfinement and meson states at finite temperature. The model is fixed at T=0 to implement quark confinement while preserving the Goldstone mechanism for the $π$. Within the Matsubara formalism, a very slow temperature dependence is found for the $π$ and $ρ$ meson masses $M_H(T)$ until near the deconfinement temperature $T_c=143$ MeV. Related to rapid decrease of the dynamically-generated quark mass function for $T>T_c$, this model produces $π$ and $ρ$ masses that rise significantly and are better interpreted as spatial screening masses. The $T$-dependent screening mass defect $ΔM_H = 2πT-M_H(T)$ is compared to results of lattice gauge theory simulations and also to those of an infrared dominant analytic model.

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D. Blaschke, Yu. L. Kalinovsky, P. C. Tandy. 1998-11-26. Quark deconfinement and meson properties at finite temperature. https://arxiv.org/abs/hep-ph/9811476

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