Holder Inequalities and Bounds on the Masses of Light Quarks

Steele, T. G.; Kostuik, K.; Kwan, J.

Holder Inequalities and Bounds on the Masses of Light Quarks

Authors

Steele, T. G.

Kostuik, K.

Kwan, J.

Description

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