The Goldberger -- Treiman Relation, gₐ and gπNN at T≠ 0

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The Goldberger-Treiman relation is shown to persist in the chiral limit at finite temperatures to order O(T²). The T dependence of gₐ turns out to be the same as for Fπ, gₐ(T)=gₐ(0)(1-T²/12F²), while gπNN is temperature independent to this order. The baryon octet D and F couplings also behave as Fπ if only pions are massless in the pseudoscalar meson octet.