Testing the self-duality of topological lumps in SU(3) lattice gauge theory
arXiv:hep-lat/0202002 · doi:10.1103/PhysRevLett.88.221601
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.
Remarks added, to appear in Phys. Rev. Lett
References in corpus (13)
- Setting the scale for the Luescher-Weisz action
- Low-lying fermion modes, topology and light hadrons in quenched QCD
- Short distance current correlators: Comparing lattice simulations to the instanton liquid
- A comprehensive picture of topological excitations in finite temperature lattice QCD
- Evidence Against Instanton Dominance of Topological Charge Fluctuations in QCD
- Properties of near-zero modes and chiral symmetry breaking
- Instanton dominance of topological charge fluctuations in QCD?
- Chirality Correlation within Dirac Eigenvectors from Domain Wall Fermions
- Are Topological Charge Fluctuations in QCD Instanton Dominated?
- Calorons and localization of quark eigenvectors in lattice QCD
- Comment on ``Evidence Against Instanton Dominance of Topological Charge Fluctuations in QCD''
- Chiral measurements with the Fixed-Point Dirac operator and construction of chiral currents
- Comparing lattice Dirac operators in smooth instanton backgrounds
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