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Testing the self-duality of topological lumps in SU(3) lattice gauge theory

Christof Gattringer
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Abstract

We discuss a simple formula which connects the field-strength tensor to a spectral sum over certain quadratic forms of the eigenvectors of the lattice Dirac operator. We analyze these terms for the near zero-modes and find that they give rise to contributions which are essentially either self-dual or anti self-dual. Modes with larger eigenvalues in the bulk of the spectrum are more dominated by quantum fluctuations and are less (anti) self-dual. In the high temperature phase of QCD we find considerably reduced (anti) self-duality for the modes near the edge of the spectral gap.

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Christof Gattringer. 2002-04-22. Testing the self-duality of topological lumps in SU(3) lattice gauge theory. https://doi.org/10.1103/physrevlett.88.221601

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