Non-Abelian Dual Superconductor Picture for Quark Confinement

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1103/PhysRevD.83.114016

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.

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