Fundamental inequalities for QCD sum-rules are applied to resolve a paradox
recently encountered in a sum-rule calculation. This paradox was encountered in
a toy model known to be free of resonances that yields an apparent resonance
using a standard sum-rule stability analysis. Application of the inequalities
does not support the existence of a well defined sum-rule calculation, and
shows a strong distinction from typical behaviour in QCD.Comment: 6 pages, RevTeX, figures available upon request to
[email protected]
