Comments to the article "The polarizability of the pion: no conflict between dispersion theory and chiral perturbation theory"

The statement of the authors of the article arXiv:0805.0213, that spurious singularities occur in the dispersion relation approach, where imaginary parts of the amplitudes of the process \gamma\gamma->\pi\pi are saturated by the contributions of meson resonances by using Breit-Wigner expressions, is analyzed. It has been shown that there are not any additional singularities in this approach and the disagreement between the predictions of the dispersion relations and ChPT for (\alpha_1-\beta_1)_\pi^{\pm} remains. Reasons for the negative results of the description of the process \gamma\gamma->\pi^0\pi^0 in arXiv:0805.0213 are also discused.