Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2012-02-05
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 6 figures
Scientific paper
We analyze topological charge contributions from classical SU (2) center vortices with shapes of planes and spheres using different topological charge definitions, namely the center vortex picture of topological charge, a discrete version of $F\tilde F$ in the plaquette and hypercube definitions and the lattice index theorem. For the latter the zeromodes of the Dirac operator in the fundamental and adjoint representations using both the overlap and asqtad staggered fermion formulations are investigated. We find several problems for the individual definitions and discuss the discrepancies between the different topological charge definitions. Our results show that the interpretation of lattice quantities like $F\tilde F$ in the background of center vortices is rather subtle.
Faber Manfried
Heller Urs M.
Höllwieser Roman
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