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Altarelli-parisi equation in non-equilibrium QCD

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Abstract

The Q 2 evolution of fragmentation function in non-equilibrium QCD by using DGLAP evolution equation may be necessary to study hadron formation from quark-gluon plasma at RHIC and LHC. In this paper we study splitting functions in non-equilibrium QCD by using Schwinger-Keldysh closed-time path integral formalism. For quarks and gluons with arbitrary non-equilibrium distribution functions f q (\(\vec p\)) and f g (\(\vec p\)), we derive expressions for quark and gluon splitting functions in non-equilibrium QCD at leading order in α s . We make a comparison of these splitting functions with that obtained by Altarelli and Parisi in vacuum.

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  1. Department of Physics, University of Arizona, Tucson, AZ, 85721, USA

    G. C. Nayak

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  1. G. C. Nayak
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Nayak, G.C. Altarelli-parisi equation in non-equilibrium QCD. Phys. Part. Nuclei 43, 742–748 (2012). https://doi.org/10.1134/S106377961206007X

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