Topological Charge Membranes in 2D and 4D Gauge Theory

Details Topological Charge Membranes in 2D and 4D Gauge Theory Topological Charge Membranes in 2D and 4D Gauge Theory

2004-09-14

arxiv.org/abs/hep-lat/0409079v1

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2004(topology)

Scientific paper

10.1016/j.nuclphysbps.2004.11.28

Local topological charge structure in the 2D CP(N-1) sigma models is studied using the overlap Dirac operator. Long-range coherence of topological charge along locally 1D regions in 2D space-time is observed. We discuss the connection between these results and the recent discovery of coherent 3D sheets of topological charge in 4D QCD. In both cases, coherent regions of topological charge form along surfaces of approximmate codimension 1.

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