2000/09/21 by Pieter Maris, P. Maris, Maris, P.
Physics and Astronomy · #FOS: Physical sciences #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/0009064
13 pages, 8 figures, uses sprocl, Invited talk at the IVth Conference on Quark Confinement and the Hadron Spectrum, Vienna, July 2000
arxiv created 2000/09/21 · openalex publication_date 2000/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The ladder-rainbow truncation of the set of Dyson-Schwinger equations is used to study light mesons. The parameters in the effective interaction are constrained by the chiral condensate and fπ; the current quark masses are fitted to mπand mK. The dressed quark propagators are in qualitative agreement with recent lattice-QCD results at low q2 while having the correct perturbative behavior at large q2. The resulting vector meson masses are within 5% of the experimental values. The obtained electromagnetic form factors and strong and electroweak coupling constants are also in good agreement with the data. At finite temperature, this truncation leads to a mean-field chiral phase transition. The spatial pion mass is almost constant below this transition, but rises with T close to and above Tc. The mass of its chiral partner, an idealized sigma meson, decreases with T until Tc, where it becomes degenerate with the pion.