Comparing topological charge definitions using topology fixing actions

Abstract

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.

arXiv comment17 pages, 7 figures, minor changes, as published in EPJA

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Cited by in corpus (7)

• Susceptibility of the QCD vacuum to CP-odd electromagnetic background fields
• Confinement, chiral symmetry, and the lattice
• Influence of topology on the scale setting
• Interpreting Numerical Measurements in Fixed Topological Sectors
• Extracting hadron masses from fixed topology simulations
• Quark masses, the Dashen phase, and gauge field topology
• Filtered topological structure of the QCD vacuum: Effects of dynamical quarks