Duality in the current propagator

Abstract

The idea of local duality between generalized vector dominance and light cone algebra or parton model is applied to the propagator of vector currents. A set of sum rules reminiscent of the generalized first Weinberg sum rules but involving certain unknown parameters are derived. These parameters are fixed from the leptonic decay modes of ϱ, ω, ϕ. The sum rules are used to calculate the ω-ϕ mixing angle and thereby predict Γ(ϕ→ K K ) = 3.24±0.34 MeV , in agreement with experiment. Simple mass mixing or current mixing model for the vector mesons seem to be inconsistent with data. The total cross section for e + e −→hadrons is calculated in the scaling region. If scaling is achieved at s ⋍ 9–16 GeV 2 then it is argued that about 22% of the events in this energy region will include strange particles.