2014/02/06 by Suzuki, Tsuneo
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1402.1294
A new scheme for color confinement in QCD due to violation of the non-Abelian Bianchi identities is discussed. The violation of the non-Abelian Bianchi identities (VNABI) Jμ is equal to Abelian-like monopole currents kμ defined by the violation of the Abelian-like Bianchi identities. Although VNABI is an adjoint operator satisfying the covariant conservation rule DμJμ=0, it gives us, at the same time, the Abelian-like conservation rule ∂μJμ=0. The Abelian-like conservation rule ∂μJμ=0 is also gauge-covariant. There are N2-1 conserved magnetic charges in the case of color SU(N). The charge of each component of VNABI is quantized à la Dirac. VNABI satisfying the Dirac quantization condition could be defined on lattice as lattice Abelian-like monopole currents without any gauge-fixing. Previous studies of the Abelian-like monopoles kμ on lattice show that non-Abelian color confinement could be understood by the Abelian-like dual Meissner effect due to condensation of VNABI.