Monopole clusters and critical dynamics in four-dimensional U(1)

Details Monopole clusters and critical dynamics in four-dimensional U(1) Monopole clusters and critical dynamics in four-dimensional U(1)

1993-12-01

arxiv.org/abs/hep-lat/9312006v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, Wuppertal preprint WUB 93-38

Scientific paper

10.1016/0920-5632(94)90443-X

We investigate monopoles in four-dimensional compact U(1) with Wilson action. We focus our attention on monopole clusters as they can be identified unambiguously contrary to monopole loops. We locate the clusters and determine their properties near the U(1) phase transition. The Coulomb phase is characterized by several small clusters, whereas in the confined phase the small clusters coalesce to one large cluster filling up the whole system. We find that clusters winding around the periodic lattice are absent within both phases and during the transition. However, within the confined phase, we observe periodically closed monopole loops if cooling is applied.

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