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The Goldberger-Treiman relation is shown to persist in the chiral limit atfinite temperatures to order $O(T^2)$. The $T$ dependence of $g_A$ turns out tobe the same as for $F_{\pi}$, $g_{A}(T)=g_{A}(0)(1-T^2/12F^2)$, while $g_{\piNN}$ is temperature independent to this order. The baryon octet ${\cal D}$ and${\cal F}$ couplings also behave as $F_{\pi}$ if only pions are massless in thepseudoscalar meson octet.Comment: 7p, NSF-ITP-93-145, BUTP-93/27, PUTP-1433, November 199

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

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