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

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

2000-10-06

arxiv.org/abs/hep-ph/0010056v1

Int.J.Mod.Phys. A16S1B (2001) 582-584

Physics

High Energy Physics

High Energy Physics - Phenomenology

3 pages, latex, write-up of talk presented at DPF 2000

Scientific paper

10.1142/S0217751X01007546

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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