Darmstadt 2008 – scientific programme
Parts | Days | Selection | Search | Downloads | Help
HK: Fachverband Physik der Hadronen und Kerne
HK 21: Theorie
HK 21.5: Talk
Tuesday, March 11, 2008, 09:45–10:00, 2F
Spectral properties of the staggered SU(2) Dirac operator — Falk Bruckmann1, Stefan Keppeler2, •Marco Panero1, and Tilo Wettig1 — 1University of Regensburg, 93040 Regensburg, Germany — 2University of Tübingen, 72076 Tübingen, Germany
We study the spectrum of the lattice Dirac operator in the staggered formulation, comparing it with the random matrix theory predictions. For SU(2) gauge group or fermions in the adjoint representation, the antiunitary symmetries of the staggered operator are different from those of the continuum, entailing a description in terms of a different random matrix ensemble. Close to the free limit, the eigenvalues cluster around the values corresponding to the free model, with fluctuations characterized by the Poisson distribution, as predicted by the theory. In this regime, we find a way to accurately describe the observed Dirac spectrum, in terms of the average Polyakov loops in each configuration.