Comparing lattice Dirac operators with Random Matrix Theory

Authors
Farchioni, F Hip, I Lang, CB
Citation
F. Farchioni et al., Comparing lattice Dirac operators with Random Matrix Theory, NUCL PH B-P, 83-4, 2000, pp. 482-484
Citations number
20
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
ISSN journal
09205632 → ACNP
Volume
83-4
Year of publication
2000
Pages
482 - 484
Database
ISI
SICI code
0920-5632(200004)83-4:<482:CLDOWR>2.0.ZU;2-A
Abstract
We study the eigenvalue spectrum of different lattice Dirac operators (stag gered, fixed point, overlap) and discuss their dependence on the topologica l sectors. Although the model is 2D (the Schwinger model with massless ferm ions) our observations indicate possible problems in 4D applications. In pa rticular misidentification of the smallest eigenvalues due to non-identific ation of the topological sector may hinder successful comparison with Rando m Matrix Theory (RMT).