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Quantum chaos in QCD and hadrons

Harald Markum·Willibald Plessas·Rainer Pullirsch·Bianka Sengl·Robert F. Wagenbrunn
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Abstract

This article is the written version of a talk delivered at the Workshop on Nonlinear Dynamics and Fundamental Interactions in Tashkent and starts with an introduction into quantum chaos and its relationship to classical chaos. The Bohigas-Giannoni-Schmit conjecture is formulated and evaluated within random-matrix theory. In accordance to the title, the presentation is twofold and begins with research results on quantum chromodynamics and the quark-gluon plasma. We conclude with recent research work on the spectroscopy of baryons. Within the framework of a relativistic constituent quark model we investigate the excitation spectra of the nucleon and the delta with regard to a possible chaotic behavior for the cases when a hyperfine interaction of either Goldstone-boson-exchange or one-gluon-exchange type is added to the confinement interaction. Agreement with predictions from the experimental hadron spectrum is established.

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Harald Markum, Willibald Plessas, Rainer Pullirsch, Bianka Sengl, Robert F. Wagenbrunn. 2005-05-13. Quantum chaos in QCD and hadrons. https://arxiv.org/abs/hep-lat/0505011

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