Bianchi Identities and Degeneracy of Chromomagnetic Fields in SU(2) Gluodynamics

Details Bianchi Identities and Degeneracy of Chromomagnetic Fields in SU(2) Gluodynamics Bianchi Identities and Degeneracy of Chromomagnetic Fields in SU(2) Gluodynamics

2005-09-07

arxiv.org/abs/hep-lat/0509017v1

PoS LAT2005 (2005) 327

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 4 figures, parallel talk given at LATTICE 2005, Trinity College, Dublin, July 25-30, 2005 (topology and confinement)

Scientific paper

We 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.

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