Altarelli-Parisi Equation in Non-Equilibrium QCD

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 ${\alpha }_s$. We make a comparison of these splitting functions with that obtained by Altarelli and Parisi in vacuum.

QCD Evolution Time vs Non-Equilibrium Relaxation Time Added, 13 pages latex, Final Version to be Published in Phys. Part. Nucl. V.43, N6 (2012). arXiv admin note: text overlap with arXiv:0808.1288

References in corpus (3)

• Proof of Factorization of Fragmentation Function in Non-Equilibrium QCD
• Factorization of Soft and Collinear Divergences in Non-Equilibrium Quantum Field Theory
• Fragmentation Function in Non-Equilibrium QCD Using Closed-Time Path Integral Formalism

Cited by in corpus (3)

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• Jet Quenching and Gluon to Hadron Fragmentation Function in Non-Equilibrium QCD at RHIC and LHC
• Extracting the parton distribution functions evolution equations using the stochastic modeling in the non-equilibrium statistical mechanics