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The bulk distribution of the topological charge density, constructed via HP^1sigma-model embedding method, is investigated. We argue that the specificpattern of leading power corrections to gluon condensate hints on a particularUV divergent structure of HP^1 sigma-model fields, which in turn implies thelinear divergence of the corresponding topological density in the continuumlimit. We show that under testable assumptions the topological charge is to bedistributed within three-dimensional sign-coherent domains and conversely, thedimensionality of sign-coherent regions dictates the leading divergence of thetopological density. Confronting the proposed scenario with lattice data wepresent evidence for indeed peculiar divergence of the embedded fields. Thenthe UV behavior of the topological density is studied directly and is found toagree with our proposition. Finally, we introduce parameter-free method toinvestigate the dimensionality of relevant topological fluctuations and showthat indeed topological charge sign-coherent regions are likely to bethree-dimensional.Comment: 16 pages, 12 ps figures, revtex4; v2: significant changes,  discussions extended, new data and references added, conclusions unchange

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Continuum limit of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>HP</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math>-based topological charge density distribution

Continuum limit ofHP1-based topological charge density distribution