Three-Point Spectral Functions in ${\varphi }_6^3$ Theory at Finite Temperature

We derive a set of relations among the thermal components of the 3-point function and its spectral representations at finite temperature in the real-time formalism. We then use these to explicitly calculate the 3-point spectral densities for ${\varphi }_6^3$ theory and relate the result to the case of hot QCD.