  We discuss chiral theories of constituent quarks interacting with bosons at
high temperatures. In the chirally symmetric phase we demonstrate by applying
functional methods the presence of effective anomalous couplings for e.g. $\pi
\sigma \to \gamma \gamma, ~ \gamma \to \pi \pi \pi \sigma, ~K K \to \pi \pi \pi
\sigma$, etc., as they have recently been discussed by Pisarski.
