2005/11/30 by P. Yu. Boyko, F. V. Gubarev, Sergey Morozov +1
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Charge (physics) #Combinatorics #Gauge theory #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Topology (electrical circuits) #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.73.014512
published as Phys.Rev. D73 (2006) 014512 · 22 pages, 18 ps figures, revtex4. Replaced to match published version (PRD, to appear)
arxiv created 2006/01/11 · openalex publication_date 2006/01/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate recently proposed HP1 \ensuremathσ-model embedding method aimed to study the topology of SU(2) gauge fields. The HP1 based topological charge is shown to be fairly compatible with various known definitions. We study the corresponding topological susceptibility and estimate its value in the continuum limit. The geometrical clarity of HP1 approach allows to investigate nonperturbative aspects of SU(2) gauge theory on a qualitatively new level. In particular, we obtain a numerically precise estimation of gluon condensate and its leading quadratic correction. Furthermore, we present clear evidences that the string tension is to be associated with global (percolating) regions of sign-coherent topological charge. As a by-product of our analysis we estimate the continuum value of quenched chiral condensate and the dimensionality of regions, which localize the lowest eigenmodes of overlap Dirac operator.