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arXiv:hep-ph/9701267·v1·High Energy Physics — Phenomenology

Sum-Rule Inequalities and a Toy Model Paradox

T. G. Steele🇨🇦 · S. Alavian🇨🇦 · J. Kwan🇨🇦

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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.

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

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