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Calculation of gluon and four-quark condensates from the operator expansion

B. V. Geshkenbein
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Abstract

The magnitudes of gluon and four-quark condensates are found from the analysis of vector mesons consisting of light quarks (the families of $ρ$ and $ω$ mesons) in the 3 loops approximation. The QCD model with 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 $<0 | (α_s/π) G^2 | 0 > = 0.062 \pm 0.019 GeV^4$. The electronic widths of $ρ(1450)$ and $ω(1420)$ are calculated.

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B. V. Geshkenbein. 2004-04-29. Calculation of gluon and four-quark condensates from the operator expansion. https://doi.org/10.1103/physrevd.70.074027

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