Sum-Rule Inequalities and a Toy Model Paradox
arXiv:hep-ph/9701267 · doi:10.1016/S0370-2693(96)01540-7
Abstract
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.
6 pages, RevTeX, figures available upon request to steelet@sask.usask.ca