Topologically non-trivial field configurations - interplay of vortices and Dirac eigenmodes

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Topologically non-trivial field configurations - interplay of vortices
and Dirac eigenmodes
Presenter: Stefan Solbrig
Stefan Solbrig, Christof Gattringer, Hugo Reinhardt, Jochen Gattnar, Kurt
Langfeld, Torsten Tok, Andreas Schäfer
Abstract: Gluon field configurations with non-trivial topology play a crucial
role in QCD. However, not all pictures describe every feature of the theory.
Instantons are related to chiral symmetry breaking whereas center vortices are
strongly correlated with confinement. We present evidence that there is a deep
connection between these two pictures. To compute eigenvectors and eigenvalues for various lattice gauge field configurations, we use the chirally improved
Dirac operator. We find that removing vortices from thermalized configurations also removes the topological content. Applying random changes to raw
configurations serves as a consistency check.
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