Calculation of gluon and four-quark condensates from the operator product expansion
/ Authors
/ Abstract
The magnitudes of gluon and four-quark condensates are found from the analysis of vector mesons consisting of light quarks (the families of $\ensuremath{\rho}$ and $\ensuremath{\omega}$ mesons) in the three-loops approximation. The QCD model with an infinite number of vector mesons is used to describe the function $R(s)$. This model describes well the experimental function $R(s)$. Polarization operators calculated with this model coincide with the Wilson operator expansion at large ${Q}^{2}$. The improved perturbative theory, such that the polarization operators have correct analytical properties, is used. The result is $⟨0|({\ensuremath{\alpha}}_{s}/\ensuremath{\pi}){G}^{2}|0⟩=0.062\ifmmode\pm\else\textpm\fi{}0.019\text{ }\text{ }{\mathrm{G}\mathrm{e}\mathrm{V}}^{4}$. The electronic widths of $\ensuremath{\rho}(1450)$ and $\ensuremath{\omega}(1420)$ are calculated.
Journal: Physical Review D