Abstract
This article starts with an introduction into quantum chaos and its relationship to classical chaos. The Bohigas-Giannoni-Schmit conjecture is formulated and evaluated within the random-matrix theory. The objective of the presentation is twofold and begins with recent results on quantum chromodynamics and the quarkgluon 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 the experimental hadron spectrum is established.
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Markum, H., Plessas, W., Pullirsch, R., Sengl, B., Wagenbrunn, R.F. (2006). Quantum chaos in QCD and hadrons. In: Khanna, F., Matrasulov, D. (eds) Non-Linear Dynamics and Fundamental Interactions. NATO Science Series II: Mathematics, Physics and Chemistry, vol 213. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3949-2_19
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DOI: https://doi.org/10.1007/1-4020-3949-2_19
Publisher Name: Springer, Dordrecht
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