A Conclusive Test of Abelian Dominance Hypothesis for Topological Charge in the QCD Vacuum

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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LATTICE98(confine), 3 pages, Latex, 3 figures included

Scientific paper

10.1016/S0920-5632(99)85132-9

We study the topological feature in the QCD vacuum based on the hypothesis of abelian dominance. The topological charge $Q_{\rm SU(2)}$ can be explicitly represented in terms of the monopole current in the abelian dominated system. To appreciate its justification, we directly measure the corresponding topological charge $Q_{\rm Mono}$, which is reconstructed only from the monopole current and the abelian component of gauge fields, by using the Monte Carlo simulation on SU(2) lattice. We find that there exists a one-to-one correspondence between $Q_{\rm SU(2)}$ and $Q_{\rm Mono}$ in the maximally abelian gauge. Furthermore, $Q_{\rm Mono}$ is classified by approximately discrete values.

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