Abelian dominance and adjoint sources in lattice QCD

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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24 pages. Uuencoded gz-compressed tar file; includes RevTeX source plus 12 postscript figures incorporated via epsfig.sty. Com

Scientific paper

10.1103/PhysRevD.54.6974

Certain properties of maximal abelian projection are derived which suggest that the fundamental and adjoint SU(2) string tensions are reproduced by singly and doubly charged abelian Wilson loops, respectively. Thus, abelian dominance, which has been observed for color sources (quarks) in the fundamental representation, can be extended to higher representations. Numerical evidence in support of this conjecture also for adjoint quarks is presented. The difference between maximal abelian and local projections is elucidated and the role of non-Wilson-like terms in the effective abelian action is discussed.

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