Fractal dimension of the topological charge density distribution in SU (2) lattice gluodynamics
PV Buividovich, T Kalaydzhyan, MI Polikarpov - Physical Review D—Particles …, 2012 - APS
PV Buividovich, T Kalaydzhyan, MI Polikarpov
Physical Review D—Particles, Fields, Gravitation, and Cosmology, 2012•APSWe study the effect of cooling on the spatial distribution of the topological charge density in
quenched SU (2) lattice gauge theory with overlap fermions. We demonstrate that as the
gauge field configurations are cooled, the Hausdorff dimension of regions where the
topological charge is localized gradually changes from d= 2–3 towards the total space
dimension. Therefore, the cooling procedure destroys some of the essential properties of the
topological charge distribution.
quenched SU (2) lattice gauge theory with overlap fermions. We demonstrate that as the
gauge field configurations are cooled, the Hausdorff dimension of regions where the
topological charge is localized gradually changes from d= 2–3 towards the total space
dimension. Therefore, the cooling procedure destroys some of the essential properties of the
topological charge distribution.
We study the effect of cooling on the spatial distribution of the topological charge density in quenched SU(2) lattice gauge theory with overlap fermions. We demonstrate that as the gauge field configurations are cooled, the Hausdorff dimension of regions where the topological charge is localized gradually changes from towards the total space dimension. Therefore, the cooling procedure destroys some of the essential properties of the topological charge distribution.
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