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arXiv · hep-ph/9507304

Constraints on QCD Sum-rules from the Hölder Inequalities

M. Benmerrouche·G. Orlandini·T. G. Steele
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Abstract

A new technique based on Hölder's integral inequality is applied to QCD sum-rules to provide fundamental constraints on the sum-rule parameters. These constraints must be satisfied if the sum-rules are to consistently describe integrated physical cross-sections, but these constraints do not require any experimental data and therefore can be applied to any hadronic spectral function. As an illustration of this technique the Laplace sum-rules of the light-quark correlation function for the vector and the axial-vector currents are examined in detail. We find examples of inconsistency between the inequalities and sum-rule parameters used in some previous analyses of the vector and axial-vector channels.

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M. Benmerrouche, G. Orlandini, T. G. Steele. 1995-07-13. Constraints on QCD Sum-rules from the Hölder Inequalities. https://doi.org/10.1016/0370-2693(95)00875-l

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