2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96276We investigate the non-Abelian Bianchi identities in pure SU(2) lattice Yang-Mills theory in three and four dimensions. The non-Abelian Stokes theorem proposed recently allows to formulate the Bianchi identities in terms of local physical fluxes. Then the violation of Bianchi identities becomes a well defined concept ultimately related to chromomagnetic fields degeneracy points. We present numerical evidences that in D=4 the suppression of the Bianchi identities violation destroys confinement while the removal of the degeneracy points drives the theory to the topologically non-trivial sector.6 pages, 4 figures, parallel talk given at LATTICE 2005, Trinity College, Dublin, July 25-30, 2005 (topology and confinement)High Energy Physics - Latticetext