The Index Theorem and Random Matrix Theory for Improved Staggered Quarks
arXiv:hep-lat/0509177 · doi:10.1016/j.nuclphysbps.2006.01.013
Abstract
We study various improved staggered quark Dirac operators on quenched gluon backgrounds in lattice QCD. We find a clear separation of the spectrum of eigenvalues into high chirality, would-be zero modes and others, in accordance with the Index Theorem. We find the expected clustering of the non-zero modes into quartets as we approach the continuum limit. The predictions of random matrix theory for the epsilon regime are well reproduced. We conclude that improved staggered quarks near the continuum limit respond correctly to QCD topology.
6 pages, 2 figures, talk presented at Lattice 2005 (Dublin). To appear in Proceedings of Science
References in corpus (8)
- High-Precision Lattice QCD Confronts Experiment
- Lattice QCD in the epsilon-regime and random matrix theory
- The Index Theorem and Universality Properties of the Low-lying Eigenvalues of Improved Staggered Quarks
- The Low-Lying Dirac Spectrum of Staggered Quarks
- Distributions of Dirac Operator Eigenvalues
- Spectral Properties of the Overlap Dirac Operator in QCD
- Systematics of Staggered Fermion Spectral Properties and Topology
- Index Theorem and Random Matrix Theory for Improved Staggered Quarks