Quantum chaos in QCD at finite temperature

Abstract

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.

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

References in corpus (1)

• Quantum Chaos in a Yang-Mills-Higgs System

Cited by in corpus (4)

• Universality in Chiral Random Matrix Theory at $\beta =1$ and $\beta =4$
• Evidence for quantum chaos in the plasma phase of QCD
• Anisotropic and frame dependent chaos of suspended strings from a dynamical holographic QCD model with magnetic field
• Classical and quantum chaos of closed strings on a charged confining holographic background