Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-03-18
Phys.Rev. D71 (2005) 114514
Physics
High Energy Physics
High Energy Physics - Lattice
21 pages, 17 EPS figures, revtex4; added references, typos corrected; replaced to match the published version (PRD, to appear)
Scientific paper
10.1103/PhysRevD.71.114514
We consider the non-Abelian Bianchi identities in SU(2) pure Yang-Mills theory in D=3,4 focusing on the possibility of their violation and the significance of the chromomagnetic fields degeneracy points. We show that the recently proposed non-Abelian Stokes theorem allows to formulate the Bianchi identities in terms of the physical fluxes and their relative color orientations. Then the violation of Bianchi identities becomes a well defined concept ultimately related to the degeneracy points. The locality and gauge invariance of our approach allows to study the problem numerically. We present evidences that in D=4 the suppression of the Bianchi identities violation is likely to destroy confinement while the removal of the degeneracy points drives the theory to the topologically non-trivial sector. However, confronting the results obtained in three and four dimensions we argue that it is the mass dimension two condensate which probably explains our findings.
Gubarev F. V.
Morozov S. M.
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