Short-distance tachyonic gluon mass and 1/Q^2 corrections

Abstract

We consider the assumption that a tachyonic gluon mass imitates short-distance nonperturbative physics of QCD. The phenomenological implications include modifications of the QCD sum rules for correlators of currents with various quantum numbers. The new 1/Q^2 terms allow to resolve in a natural way old puzzles in the pion and scalar-gluonium channels. They lead to a slight reduction of the values of the running light quark masses from the (pseudo)scalar sum rules and of alpha_s(M_τ) from tau decay data. Further tests can be provided by precision measurements of the correlators on the lattice and by the e^+e^- --> hadrons data.

18 pages, 1 figure, Latex, epsfig.sty is required. New version: we have added a discussion about the effects of the tachyonic gluon mass on the value of strange quark mass as extracted from tau decays. Two references are added. The complete paper, including figures, is also available via anonymous ftp at ftp://ttpux2.physik.uni-karlsruhe.de/ttp98/ttp98-39/ or via www at http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints/

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• Renormalization group analysis of the tau-lepton decay within QCD
• Perturbative Quark Mass Corrections to the Tau Hadronic Width
• Mass Corrections to the Tau Decay Rate
• Determining the Strange Quark Mass in Cabibbo Suppressed Tau Lepton Decays

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