F eb 2 00 6 On the Continuum Limit of Topological Charge Density Distribution

The bulk distribution of the topological charge density, constructed via HP 1 σ-model embedding method, is investigated. We show that the existence of quadratic power correction to gluon condensate implies linear divergence of the non-perturbatively defined topological density in the continuum limit. As a consequence, the topologi-cal charge is to be distributed within three-dimensional sign-coherent domains and conversely, the dimensionality of sign-coherent regions dictates the leading divergence of the topological density. Furthermore, we construct unambiguous definition of the dimensionality of relevant topological fluctuations. Confronting our findings with lattice data we obtain consistent qualitative picture of the topological density distribution in the continuum limit.