Non-Abelian dual superconductivity in SU(3) Yang-Mills theory: dual Meissner effect and type of the vacuum

Abstract

We have proposed the non-Abelian dual superconductivity picture for quark confinement in the SU(3) Yang-Mills (YM) theory, and have given numerical evidences for the restricted-field dominance and the non-Abelian magnetic monopole dominance in the string tension by applying a new formulation of the YM theory on a lattice. To establish the non-Abelian dual superconductivity picture for quark confinement, we have observed the non-Abelian dual Meissner effect in the SU(3) Yang-Mills theory by measuring the chromoelectric flux created by the quark-antiquark source, and the non-Abelian magnetic monopole currents induced around the flux. We conclude that the dual superconductivity of the SU(3) Yang-Mills theory is strictly the type I and that this type of dual superconductivity is reproduced by the restricted field and the non-Abelian magnetic monopole part, in sharp contrast to the SU(2) case: the border of type I and type II.

11 pages, 11 figures

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Cited by in corpus (13)

• Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
• Flux tubes in the SU(3) vacuum: London penetration depth and coherence length
• Setting the string shoving picture in a new frame
• Gauge-independent "Abelian" and magnetic-monopole dominance, and the dual Meissner effect in lattice $SU(2)$ Yang-Mills theory
• Type of dual superconductivity for the $SU(2)$ Yang--Mills theory
• Magnetic monopole and confinement/deconfinement phase transition in SU(3) Yang-Mills theory
• Composite operator and condensate in the $SU(N)$ Yang-Mills theory with $U(N-1)$ stability group
• Double-winding Wilson loops in SU(N) lattice Yang-Mills gauge theory
• Confinement/deconfinement transition temperature from the Polyakov loop potential and gauge-invariant gluon mass
• Reformulations of the Yang-Mills theory toward quark confinement and mass gap
• Discriminating between two reformulations of SU(3) Yang-Mills theory on a lattice
• Non-Abelian dual Meissner effect in SU(3) Yang-Mills theory and confinement/deconfinement phase transition at finite temperature
• Non-Abelian dual Meissner effect and confinement/deconfinement phase transition in SU(3) Yang-Mills theory