Low energy constants of \chiPT from the instanton vacuum model

Abstract

In the framework of the instanton vacuum model we make expansion over the current mass m and number of colors N_c and evaluate $\mathcal{O}(1/N_c,m,m/N_c,m\ln m/N_c)$-corrections to the dynamical quark mass M, the quark condensate $<\bar{q}q>$, the pion mass M_πand decay constant F_π. There are several sources of these corrections: meson loops, finite size of the instanton distribution and the quark-quark "tensor" interaction terms. In contrast to the expectations, we found that numerically the 1/N_c-corrections to dynamical mass are large and mostly come from meson loops. As a consequence, we have large 1/N_c-corrections to all the other quantities. To provide the values of $F_π(m=0), \ave{\bar qq(m=0)}$ in agreement with \chiPT, we offer a new set of parameters ρ, R. Finally, we find the low-energy SU(2)_f chiral lagrangian constants ${\bar{l}}_3,{\bar{l}}_4$ in a rather good correspondence with the phenomenology.

References in corpus (2)

• Magnetic susceptibility of the QCD vacuum
• Exploring the Chiral Regime of QCD in the Interacting Instanton Liquid Model

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• DDVCS on nucleons and nuclei
• Real Compton Scattering via Color Dipoles
• Chiral restoration at finite temperature with meson loop corrections
• Shadowing in Compton scattering on nuclei
• QCD isospin breaking ChPT low-energy constants from the instanton vacuum
• Gluons, Light and Heavy Quarks in the Instanton Vacuum
• ILM gluons in perturbative QCD
• Heavy-light quark systems from the QCD instanton vacuum: $N_f=1$ light flavor case