Non-Abelian Dual Superconductor Picture for Quark Confinement

Abstract

We give a theoretical framework for defining and extracting non-Abelian magnetic monopoles in a gauge-invariant way in SU(N) Yang-Mills theory to study quark confinement. Then we give numerical evidences that the non-Abelian magnetic monopole defined in this way gives a dominant contribution to confinement of fundamental quarks in SU(3) Yang-Mills theory, which is in sharp contrast to the SU(2) case in which Abelian magnetic monopoles play the dominant role for quark confinement.

9 pages, 3 figures (4 ps files); The paper was extensively revised, focusing especially on the lattice part

References in corpus (6)

• Gauge-invariant gluon mass, infrared Abelian dominance and stability of magnetic vacuum
• Compact lattice formulation of Cho-Faddeev-Niemi decomposition: gluon mass generation and infrared Abelian dominance
• Reformulating SU(N) Yang-Mills theory based on change of variables
• Wilson loop and magnetic monopole through a non-Abelian Stokes theorem
• Compact lattice formulation of Cho-Faddeev-Niemi decomposition: string tension from magnetic monopoles
• New descriptions of lattice SU(N) Yang-Mills theory towards quark confinement