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Hoelder Inequalities and QCD Sum-Rule Bounds on the Masses of Light Quarks

T. G. Steele
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Abstract

QCD Laplace Sum-Rules must satisfy a fundamental Hoelder inequality if they are to consistently represent an integrated hadronic spectral function. The Laplace sum-rules of pion currents is shown to violate this inequality unless the $u$ and $d$ quark masses are sufficiently large, placing a lower bound on $m_u+m_d$, the SU(2)-invariant combination of the light-quark masses.

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T. G. Steele. 2000-10-06. Hoelder Inequalities and QCD Sum-Rule Bounds on the Masses of Light Quarks. https://doi.org/10.1142/s0217751x01007546

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