to the collision effect is expected to appear. This peak is called the transport peak. Its derivation is recapitulated in Appendix \[app:transport-peak\]. At larger energy, $\omega\sim T$, the pair-creation process yields a continuum in the spectral function (see Appendix \[app:continuum\] for its expression). Also, at $\omega\gg T$, the OPE analysis predicts a UV tail, whose derivation is recapitulated in Appendix \[app:UVtail\]. These structures are summarized in Fig. \[fig:spectral-longpaper\], where the expressions in the chiral and weak coupling limits for ${N_c}={N_f}=3$, Eqs. (\[eq:transport-T\]), (\[eq:continuum-T\]), and (\[eq:UVtail-T\]) have been used. The following parameters are chosen for illustrative purposes: $\tau^{-1}/T=0.5$, $|{{\mathbf{p}}}|/T=0.5$, $\kappa_0/T=1$, and $\Lambda_{\text{QCD}}/T=0.67$. We note that the corrections due to the ${{\mathbf{p}}}^2$ terms are almost negligible for this case, though the $|{{\mathbf{p}}}|$ value adopted here is not very small compared to $T$. We furthermore caution that the plots for each structure are reliable only at their energy regions of applicability. Namely, the transport peak is reliable at low energy, the continuum at intermediate and high energy and the UV tail at high energy, respectively. These regions are marked by the vertical lines with attached arrows in the figure. Note that these boundaries are not exact and should only be considered as indicative. 