The quark-gluon Mixed Condensate calculated via Field Correlators

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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10 pages, no figures; discussion of accuracy of the result added and misprints corrected

Scientific paper

10.1016/j.physletb.2004.06.036

The quark-gluon mixed condensate $g<\bar q \sigma_{\mu\nu} F_{\mu\nu} q>$ is calculated in the Gaussian approximation of the Field Correlator Method. In the large N_c limit and for zero mass quarks one obtains a simple result, $m^2_0 \equiv \frac{g<\bar q \sigma_{\mu\nu} F_{\mu\nu} q>}{<\bar q q>} = \frac{16\sigma}{\pi}$, where $\sigma$ is the string tension. For a standard value $\sigma=0.18 GeV^2$ one obtains $m^2_0=1 GeV^2$ in good agreement with the QCD sum rules estimate $m^2_0 = (0.8\pm 0.2) GeV^2$ and the latest lattice result $m^2_0 \cong 1 GeV^2$.

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