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

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

1993-12-10

arxiv.org/abs/hep-ph/9312255v1

Phys.Rev.D49:3083-3086,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

7p, NSF-ITP-93-145, BUTP-93/27, PUTP-1433, November 1993

Scientific paper

10.1103/PhysRevD.49.R3083

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 $F_{\pi}$, $g_{A}(T)=g_{A}(0)(1-T^2/12F^2)$, while $g_{\pi NN}$ 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 the pseudoscalar meson octet.

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