1998/03/17 by Rainer Pullirsch, R. Pullirsch, K. Rabitsch +3 · 1 citation
Physics and Astronomy · #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #hep-lat #hep-ph
paper · pdf · doi:10.1016/s0370-2693(98)00318-9
published as Phys.Lett. B427 (1998) 119-124 · 8 pages, 10 figures (included), acknowledgement completed
arxiv created 1998/03/17 · openalex publication_date 1998/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the eigenvalue spectrum of the staggered Dirac matrix in SU(3) gauge theory and in full QCD on a 63× 4 lattice. As a measure of the fluctuation properties of the eigenvalues, we study the nearest-neighbor spacing distribution P(s) for various values of β both in the confinement and in the deconfinement phase. In both phases except far into the deconfinement region, the lattice data agree with the Wigner surmise of random-matrix theory which is indicative of quantum chaos. We do not find signs of a transition to Poisson regularity at the deconfinement phase transition.