Scale-Invariant Dynamical Fluctuations in Jet Physics

An interpretation of scale-invariant multiplicity fluctuations inside hadronic jets is presented. It is based on the branching mechanism with the angular ordering of soft partons in sequential branchings. A relationship with fractal distributions is demonstrated. The model takes into account the finiteness of the number of particles produced in jets (finite energy) and leads to a good description of the multifractal fluctuations observed in e + e \Gamma processes. On leave from Institute of Physics, AS of Belarus, Skaryna av.70, Minsk 220072, Belarus. 1 Introduction In the case of e + e \Gamma annihilation processes the asymptotic collinear and infrared contributions to gluon cross sections can be described in Double Leading Log Approximation (DLLA) by a Markov process (see [1] for a review). This semi-classical description takes into account soft gluon interference effects on the basis of the angular ordering prescription when the parton emission is described by successiv..