Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-05-25
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages latex, minor typos corrected
Scientific paper
The $Q^2$ evolution of fragmentation function in non-equilibrium QCD may be necessary to study hadron formation from quark-gluon plasma at RHIC and LHC. In this paper we study DGLAP evolution equation of fragmentation function 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 coupling constant $\alpha_s$. We find that the quark and gluon splitting functions in QCD medium depend on non-equilibrium distribution functions $f_q({\vec p})$ and $f_g({\vec p})$. We make a comparison of these splitting functions with that derived by Altarelli and Parisi in vacuum and find that the non-equilibrium QCD splitting function carries an extra factor $[1+f_A({\vec{p}}_A)]^2 \times [1+f_B(\vec{p}_B)]^2 \times [1+f_C(\vec{p}_C)]^2$ where parton $A$ emits a parton $B$.
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