Sum-rule inequalities and a toy model paradox
Abstract
Fundamental inequalities for QCD sum-rules are applied to resolve a paradox recently encountered in a sum-rule calculation [A.A. Penin and A.A. Pivovarov, Phys. Lett. B 357 (1995) 427.]. 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.
- Publication:
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Physics Letters B
- Pub Date:
- February 1997
- DOI:
- 10.1016/S0370-2693(96)01540-7
- arXiv:
- arXiv:hep-ph/9701267
- Bibcode:
- 1997PhLB..392..189S
- Keywords:
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- High Energy Physics - Phenomenology
- E-Print:
- 6 pages, RevTeX, figures available upon request to steelet@sask.usask.ca