T dependence of pseudoscalar and scalar correlations

Inhomogeneous pseudoscalar and scalar Bethe-Salpeter equations solved using a renormalization-group-improved rainbow-ladder truncation exhibit bound state poles below and above T{sub c}, the critical temperature for chiral symmetry restoration. Above T{sub c} 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 {pi}{sup 0}{yields}{gamma}{gamma} coupling vanishes at T{sub c}, as do f{sub {pi}}, m{sub {sigma}}, and g{sub {sigma}{pi}{pi}}. For light current-quark masses the 2{pi} decay channel of the isoscalar-scalar bound state remains open until very near T{sub c}, and the widths of the dominant pion decay modes remain significant in the vicinity of the crossover.