Abstract
A thermal QCD Finite Energy Sum Rule (FESR) allows us to obtain the temperature dependence of the axial vector coupling of the nucleon, g A ( T). It turns out that this coupling is essentially constant for the wide range 0 ≤ T ≤ 0.9 T c being T c the critical deconfining temperature. In contrast to other effective hadronic couplings, g A ( T) diverges when T → T C . At finite temperature, g A developes also a q 2 dependence. This led us to explore the mean squared radius associated to g A , finding that it diverges at the critical temperature, thus signalling quark deconfinement. Finally, as a byproduct of our analysis, we study the thermal evolution of the Goldberger-Treiman relation.
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