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., $\pi \sigma \to \gamma \gamma$, $\gamma \to \pi \pi \pi \sigma$, $\mathrm{KK}\to \pi \pi \pi \sigma$, etc., as they have recently been discussed by Pisarski.

• Received 13 March 1996

DOI:https://doi.org/10.1103/PhysRevD.54.2222