Transiting topological sectors with the overlap

Details Transiting topological sectors with the overlap Transiting topological sectors with the overlap

2002-08-16

arxiv.org/abs/hep-lat/0208026v1

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2002(chiral): Poster at The XX International Symposium on Lattice Field Theory (Boston, 2002)

Scientific paper

10.1016/S0920-5632(03)80476-0

The overlap operator provides an elegant definition for the winding number of lattice gauge field configurations. Only for a set of configurations of measure zero is this procedure undefined. Without restrictions on the lattice fields, however, the space of gauge fields is simply connected. I present a simple low dimensional illustration of how the eigenvalues of a truncated overlap operator flow as one travels between different topological sectors.

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