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arXiv · hep-ph/9812497

Holder Inequalities and Bounds on the Masses of Light Quarks

T. G. Steele·K. Kostuik·J. Kwan
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Abstract

QCD Laplace sum-rules must satisfy a fundamental (Holder) inequality if they are to consistently represent an integrated hadronic cross-section. After subtraction of the pion-pole, the Laplace sum-rule of pion currents is shown to violate this fundamental inequality unless the up and down quark masses are sufficiently large, placing a lower bound on the 1.0 GeV MS-bar running masses.

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T. G. Steele, K. Kostuik, J. Kwan. 2000-10-06. Holder Inequalities and Bounds on the Masses of Light Quarks. https://doi.org/10.1016/s0370-2693(99)00181-1

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