T-dependence of pseudoscalar and scalar correlations
P. Maris, C. D. Roberts, S. M. Schmidt, P. C. Tandy
Abstract
Inhomogeneous pseudoscalar and scalar Bethe-Salpeter equations solved using a renormalisation-group-improved rainbow-ladder truncation exhibit bound state poles below and above Tc, the critical temperature for chiral symmetry restoration. Above Tc the bound state amplitudes are identical, as are the positions and residues of the pseudoscalar and scalar poles in the vertices. In the chiral limit the pi0 -> gamma gamma coupling vanishes at Tc, as do fpi, msigma, gsigma pi pi. For light current-quark masses the 2-pi decay channel of the isoscalar-scalar meson remains open until very near Tc, and the widths of the dominant pion decay modes remain significant in the vicinity of the crossover.
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