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Hölder Inequalities and QCD Sum-Rule Bounds on the Masses of Light Quarks - MaRDI portal

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

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Publication:4545739

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DOI10.1142/S0217751X01007546zbMATH Open0997.81601arXivhep-ph/0010056MaRDI QIDQ4545739

Author name not available (Why is that?)

Publication date: 15 August 2002

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/hep-ph/0010056

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