Low Energy Constants of Chiral Perturbation Theory from the Instanton Vacuum

Details Low Energy Constants of Chiral Perturbation Theory from the Instanton Vacuum Low Energy Constants of Chiral Perturbation Theory from the Instanton Vacuum

2008-11-28

arxiv.org/abs/0811.4656v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk given at Baldin ISHEPP XIX, Dubna, September 29 - October 4, 2008. Few typos was corrected

Scientific paper

In the framework of the instanton vacuum model we make expansion over the current mass $m$ and number of colors $N_c$ and evaluate ${\cal O}(1/N_c, m, m/N_c, m \ln m/N_c)$-corrections to the dynamical quark mass $M$, the quark condensate $<\bar qq>$, the pion mass $M_\pi$ and decay constant $F_\pi$. We found the SU(2) $\chi$PT low-energy constants $\bar l_3, \bar l_4$ in a good correspondence with the phenomenology and lattice calculations.

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