Chaotic behavior of particle production in branching processes

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Abstract
The notion of chaotic behavior is examined for particle production in branching processes. Two types of branching are considered: non-Abelian gauge interaction and an Abelian cascade model. Properties of the production processes are investigated by Monte Carlo simulation. The "temporal" behavior is studied by following the fluctuations in the multiplicities of each generation as the branching evolves. The "spatial" behavior is described in terms of the fluctuations of the normalized factorial moments from event to event. The information dimension and a new entropy index are determined. When all the measures are taken together, they collectively give a strong suggestion that the QCD branching process is chaotic, while the Abelian cascade model is not.
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