Geometry of the monopole clusters at different scales

V. G. Bornyakov; P. Yu. Boyko; M. I. Polikarpov; V. I. Zakharov

doi:10.1016/s0920-5632(03)02675-6

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arXiv · hep-lat/0309021

Geometry of the monopole clusters at different scales

V. G. Bornyakov·P. Yu. Boyko·M. I. Polikarpov·V. I. Zakharov

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Abstract

We present results of measurements of various geometrical characteristics of the monopole clusters in the maximally Abelian projection of SU(2) lattice gauge theory. We observe scaling for the observables tested. Short clusters correspond to random walks at small scale but have long-range correlations at the hadronic scale. On the other hand, the percolating cluster at the hadronic scale does not correspond to a random walk.

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V. G. Bornyakov, P. Yu. Boyko, M. I. Polikarpov, V. I. Zakharov. 2003-09-06. Geometry of the monopole clusters at different scales. https://doi.org/10.1016/s0920-5632(03)02675-6

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