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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.
Forward citations
Cited by 2 Pith papers
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Electromagnetic form factors of the nucleon from the instanton vacuum
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.
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Nucleon and singly heavy baryons from the QCD instanton vacuum
A chiral soliton model with a momentum-dependent quark mass from the instanton vacuum predicts Delta-N and Sigma_Q-Lambda_Q mass splittings of 214 and 206 MeV.
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