QCD Sum-Rule Bounds on the Light Quark Masses

Abstract

QCD sum-rules are related to an integral of a hadronic spectral function, and hence must satisfy integral inequalities which follow from positivity of the spectral function. Development of these Holder inequalities and their application to the Laplace sum-rule for pions lead to a lower bound on the average of the non-strange 2 GeV light-quark masses in the MS-bar scheme.

latex2e, 8 pages. Write-up of talk presented at MRST 2001