The Goldberger -- Treiman Relation, $g_A$ and $g_{\pi NN}$ at $T\mathrm{\ne }0$

The Goldberger-Treiman relation is shown to persist in the chiral limit at finite temperatures to order $O(T^2)$. The $T$ dependence of $g_A$ turns out to be the same as for $F_{\pi }$, $g_A(T)=g_A(0)(1-T^2\mathrm{/}12F^2)$, while $g_{\pi NN}$istemperatureindependenttothisorder\mathrm{.}Thebaryonoctet${\cal D}$and${\cal F}$couplingsalsobehaveas$F_{\pi}$ if only pions are massless in the pseudoscalar meson octet.