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

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

1999-06-07

arxiv.org/abs/hep-ph/9906279v1

Phys.Lett. B460 (1999) 442-446

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages and 3 figures

Scientific paper

10.1016/S0370-2693(99)00779-0

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 $0 \leq T \leq 0.9 T_{c}$, 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.

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