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FINITE T MESON CORRELATIONS AND QUARK DECONFINEMENT

2000/02/29 by D. Blaschke, D. BLASCHKE, G. BURAU +7 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1142/s0217751x01003457

published as Int.J.Mod.Phys. A16 (2001) 2267-2291 · Revised, shortened version that has been published; 24 pages, REVTEX, 7 figs, epsfig

openalex publication_date 2001/05/10 · arxiv created 2001/07/02 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The finite temperature spatial [Formula: see text] correlation modes in the π and ρ channels are studied with the rainbow-ladder truncated quark Dyson–Schwinger equation and Bethe–Salpeter equation in the Matsubara formalism. To retain the finite range of the effective interaction while facilitating summation over fermion Matsubara modes necessary to ensure continuity at T=0, a separable kernel is used. The model is fixed by T=0 properties and it implements dynamical chiral symmetry breaking and quark confinement. Transition temperatures for deconfinement (T d ) and chiral restoration (T c ) are identified. Above and below these transitions we study M π (T), f π (T) and the three-space transverse and longitudinal masses [Formula: see text] and [Formula: see text]. We also study the intrinsic T-dependence of the electromagnetic coupling constant g ρ (T) and the strong coupling constant g ρππ (T). For both this model and a related semi-analyticinfrared dominant model, we analyze the high T behavior of the obtained masses in comparison to the M(T)→2πT behavior found in lattice QCD simulations.

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