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Meson-loop contributions to the quark condensate from the instanton vacuum

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abstract

We investigate the quark condensate of the QCD vacuum within the instanton vacuum model. We calculate the meson-loop contributions to the dynamical quark mass and quark condensate to ${\cal O}(1/N_c)$-, ${\cal O}(m/N_c)$-, and ${\cal O}((m\ln m) /N_c)$-order corrections. We find that the meson (especially pion) loops provide substantial contributions to the dynamical quark mass and as a result to the quark condensate. The results indicate that the $1/N_c$ corrections should be reconsidered in the systematical way. The present results are consistent with those from chiral perturbation theory.

fields

hep-ph 1

years

2026 1

verdicts

UNVERDICTED 1

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  • Electromagnetic form factors of the nucleon from the instanton vacuum hep-ph · 2026-05-25 · unverdicted · none · ref 72 · internal anchor

    Nucleon EM form factors computed in instanton vacuum model with parameters fixed by saddle-point equation yield proton charge radius 0.841 fm matching muonic hydrogen and good agreement on Q2 dependence of ratios.