Comparing topological charge definitions using topology fixing actions

Details Comparing topological charge definitions using topology fixing actions Comparing topological charge definitions using topology fixing actions

2009-05-18

arxiv.org/abs/0905.2849v2

Eur.Phys.J.A43:303-311,2010

Physics

High Energy Physics

High Energy Physics - Lattice

17 pages, 7 figures, minor changes, as published in EPJA

Scientific paper

10.1140/epja/i2010-10915-1

We investigate both the hyperbolic action and the determinant ratio action designed to fix the topological charge on the lattice. We show to what extent topology is fixed depending on the parameters of these actions, keeping the physical situation fixed. At the same time the agreement between different definitions of topological charge - the field theoretic and the index definition - is directly correlated to the degree topology is fixed. Moreover, it turns out that the two definitions agree very well. We also study finite volume effects arising in the static potential and related quantities due to topology fixing.

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