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Fluctuations of conserved quantum numbers are associated with thecorresponding susceptibilities because of the symmetry of the system. Theunderlying fact is that these fluctuations as defined through the staticcorrelators become identical to the direct calculation of thesesusceptibilities defined through the thermodynamic derivatives, due to thefluctuation-dissipation theorem. Through a rigorous exercise we explicitly showthat a diagrammatic calculation of the static correlators associated with theconserved quark number fluctuations and the corresponding susceptibilities arepossible in case of mean field theories, if the implicit dependence of the meanfields on the quark chemical potential are taken into account appropriately. Asan aside we also give an analytical prescription for obtaining the implicitdependence of the mean fields on the quark chemical potential.

Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories