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

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

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

References in corpus (3)

• On the Foundations of Chiral Perturbation Theory
• On the current correlators in QCD at finite temperature
• Temperature Dependence of Electric and Magnetic Gluon Condensates

Cited by in corpus (9)

• Chiral symmetry at finite temperature: linear vs nonlinear $\sigma$-models
• Baryon and meson screening masses
• Chiral Symmetry Restoration and Parity Mixing
• Pion Decay Constant at Finite Temperature in the Nonlinear Sigma Model
• Hot Nucleons in Chiral Soliton Models
• Density resummation of perturbation series in a pion gas to leading order in chiral perturbation theory
• Addendum to ``Decoupling of pion coupling $f_{\pi }$ from quarks at high density in three models, and its possible observational consequences"
• Decoupling of pion coupling f_π from quarks at high density in three models, and its possible observational consequences
• Pion Mass Shift and the Kinetic Freeze Out Process