Bonn 2001 – wissenschaftliches Programm

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T: Teilchenphysik

T 304: Feldtheorie 2

T 304.5: Vortrag

Dienstag, 27. März 2001, 17:15–17:30, HS III

Quantum chaos and chiral symmetry in gauge theories with covariant derivative — •E. Bittner, H. Markum, and R. Pullirsch — Institut für Kernphysik, Technische Universität Wien, A-1040 Wien

We investigate the eigenvalue spectrum of the staggered Dirac matrix in SU(3) gauge theory and in full QCD as well as in quenched U(1) theory. As a measure of the fluctuation properties of the eigenvalues, we consider the nearest-neighbor spacing distribution. We find that in all regions of their phase diagrams, compact lattice gauge theories have bulk spectral correlations given by random matrix theory, which is an indication for quantum chaos. In the confinement phase, the low-lying Dirac spectrum of these quantum field theories is well described by random matrix theory, exhibiting universal behavior. We produce related results for gauge theories with minimal coupling also in the chirally symmetric phase and compare to recent literature.

[1] E. Bittner, H. Markum, R. Pullirsch, hep-lat/0009002.