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Transition form factors $F_{P\gamma^*\gamma^{(*)}}$ of pseudoscalar mesonsare studied within the framework of the domain model of confinement, chiralsymmetry breaking and hadronization. In this model, the QCD vacuum is describedby the statistical ensemble of domain wall networks which represents the almosteverywhere homogeneous Abelian (anti-)self-dual gluon field configurations.Calculations of the form factors are performed consistently with mass spectraof light, heavy-light and double-heavy mesons, their weak and strong decayconstants. Influence of the nonperturbative intermediate range gluon fields onasymptotic behaviour of pion transition form factor is of particular interest,as it can potentially lead to the growth of $Q^2F_{\pi\gamma^*\gamma}(Q^2)$. Itis found that $Q^2F_{\pi\gamma^*\gamma}(Q^2)$ approaches a constant value atasymptotically large $Q^2$. However, this limit differs from the standardfactorization bound, though for pion form factor complies with Belle data morelikely than with BaBar ones. At the same time the generally acceptedfactorization bound is shown to be satisfied for the case of the symmetrickinematics, $Q^2F_{P\gamma^*\gamma^*}(Q^2)$. Peculiarities of description of$\eta$, $\eta'$ and $\eta_c$ form factors within the model are discussed indetail.

Influence of confining gluon configurations on the $P\to\gamma^*\gamma $ transition form factors