Holder Inequalities and Bounds on the Masses of Light Quarks

Details Holder Inequalities and Bounds on the Masses of Light Quarks Holder Inequalities and Bounds on the Masses of Light Quarks

1998-12-24

arxiv.org/abs/hep-ph/9812497v3

Phys.Lett.B451:201-206,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

latex2e, 8 pages, 2 figures. Error corrected in equation (41)

Scientific paper

10.1016/S0370-2693(99)00181-1

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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