2006/02/28 by P. Yu. Boyko, F. V. Gubarev · 1 citation
Biochemistry, Genetics and Molecular Biology · Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Particle physics theoretical and experimental studies #Protein Structure and Dynamics #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.73.114506
published as Phys.Rev. D73 (2006) 114506 · 16 pages, 12 ps figures, revtex4; v2: significant changes, discussions extended, new data and references added, conclusions unchanged
arxiv created 2006/03/23 · openalex publication_date 2006/06/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The bulk distribution of the topological charge density, constructed via the HP1 \ensuremathσ-model embedding method, is investigated. We argue that the specific pattern of leading power corrections to gluon condensate hints on a particular UV divergent structure of HP1 \ensuremathσ-model fields, which in turn implies the linear divergence of the corresponding topological density in the continuum limit. We show that under testable assumptions, the topological 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. Confronting the proposed scenario with lattice data we present evidence for indeed peculiar divergence of the embedded fields. Then the UV behavior of the topological density is studied directly and is found to agree with our proposition. Finally, we introduce a method to investigate the dimensionality of relevant topological fluctuations and show that indeed topological charge sign-coherent regions are likely to be three-dimensional.