QCD determination of the axial-vector coupling of the nucleon at finite temperature

Abstract

A thermal QCD Finite Energy Sum Rule (FESR) is used to obtain the temperature dependence of the axial-vector coupling of the nucleon, $g_A(T)$. We find that $g_A(T)$ is essentially independent of $T$, in the very wide range $0\le T\le 0.9T_c$, where $T_c$ is the critical temperature. While $g_A$ at T=0 is $q^2$-independent, it develops a $q^2$ dependence at finite temperature. We then obtain the mean square radius associated with $g_A$ and find that it diverges at $T=T_c$, thus signalling quark deconfinement. As a byproduct, we study the temperature dependence of the Goldberger-Treiman relation.

8 pages and 3 figures

References in corpus (3)

• Pion Dynamics at Finite Temperature
• Vector Meson Dominance and $g_{\rho \pi \pi }$ at Finite Temperature from QCD Sum Rules
• Pion-Nucleon coupling at finite temperature

Cited by in corpus (12)

• Charmonium in the vector channel at finite temperature from QCD sum rules
• Heavy-light quark pseudoscalar and vector mesons at finite temperature
• Rho-meson resonance broadening in QCD at finite temperature
• (Pseudo)Scalar Charmonium in Finite Temperature QCD
• Nucleon axial-vector coupling constant in magnetar environments
• Skyrmions, Hadrons and isospin chemical potential
• Thermal Renormalons in Scalar Field Theory
• Axial coupling constant in a magnetic background
• Axial-vector form factor of nucleons at finite temperature from the AdS/QCD soft-wall model
• Strongly interacting matter in extreme magnetic fields
• QCD sum rules and thermal properties of Charmonium in the vector channel
• Hadrons as Skyrmions in the presence of isospin chemical potential