Berlin 2008 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 27: Quantum chaos II
DY 27.5: Vortrag
Donnerstag, 28. Februar 2008, 15:30–15:45, MA 004
Two-point correlations of spectral determinants — •Daniel Waltner1, Stefan Heusler2, Juan-Diego Urbina1, and Klaus Richter1 — 1Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg — 2Universität Münster
We consider the correlator of two spectral determinants using semiclassical methods. While in the unitary case the diagonal approximation reproduces the leading order contribution from Random Matrix Theory (RMT) [1], we show that semiclassical loop contributions are not consistent with RMT [2]. A complementary analysis based on a field theoretical approach shows that the additional terms occurring in semiclassics are cancelled in field theory by so-called curvature effects. We attempt to find a semiclassical interpretation of such effects.
[1] J. P. Keating, S. Müller, Proc. R. Soc. 463, 3241
[2] D. Waltner et. al., in preparation