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arXiv · hep-ph/9312255

The Goldberger -- Treiman Relation, $g_A$ and $g_{πNN}$ at $T\neq 0$

V. L. Eletsky·Ian I. Kogan
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Abstract

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 $F_π$, $g_{A}(T)=g_{A}(0)(1-T^2/12F^2)$, while $g_{πNN}$ is temperature independent to this order. The baryon octet ${\cal D}$ and ${\cal F}$ couplings also behave as $F_π$ if only pions are massless in the pseudoscalar meson octet.

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V. L. Eletsky, Ian I. Kogan. 1993-12-10. The Goldberger -- Treiman Relation, $g_A$ and $g_{πNN}$ at $T\neq 0$. https://doi.org/10.1103/physrevd.49.r3083

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