Sum-Rule Inequalities and a Toy Model Paradox

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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6 pages, RevTeX, figures available upon request to steelet@sask.usask.ca

Scientific paper

10.1016/S0370-2693(96)01540-7

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.

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