Quantum chaos in QCD at finite temperature

Details Quantum chaos in QCD at finite temperature Quantum chaos in QCD at finite temperature

1997-09-24

arxiv.org/abs/hep-lat/9709103v1

Nucl.Phys.Proc.Suppl. 63 (1998) 832-834

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 6 figures (included), poster presented by R. Pullirsch at "Lattice 97", to appear in the proceedings

Scientific paper

10.1016/S0920-5632(97)00914-6

We study complete eigenvalue spectra of the staggered Dirac matrix in quenched QCD on a $6^3\times 4$ lattice. In particular, we investigate the nearest-neighbor spacing distribution $P(s)$ for various values of $\beta$ both in the confinement and deconfinement phase. In both phases except far into the deconfinement region, the data agree with the Wigner surmise of random matrix theory which is indicative of quantum chaos. No signs of a transition to Poisson regularity are found, and the reasons for this result are discussed.

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