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HK: Fachverband Physik der Hadronen und Kerne

HK 21: Theorie

HK 21.5: Vortrag

Dienstag, 11. März 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.