Transient-like radiation quenching mechanism

1. Transient-like radiation quenching mechanism M. Kirakosyan1, A. Leonidov1 1Lebedev Physical Institute of RAS

2. Chromopermittivity as a phenomenological tool to describe quark-gluon medium. • Various theoretic schemes indicate presence of collective quark and gluon states even in thermalized matter. • Scattering on them → renormalization of gluon propagator ↔ emerging of chromopermittivity.

3. Equations for in-medium gluodinamics: I. M. Dremin

4. Inhomogeneity of initial state in heavy ion collisions HIJING energy density fluctuations a thermalization time ~0.5 fm/c. NeXSPheRIO initial energy density in the transverse (left) and reaction (center) planes for a central Au+Au collision at 200 GeV A

5. Wave equation in inhomogeneous media. In abelian approximation (color indices are skipped): Model:

6. Feynman rules for averaged values: Propagator: Elemntary polarization loop: Dyson equation: Polarization operator:

7. Effective di(chromo)electric tensor in σ²ka<<1 limit : :

8. Energy loss of relativistic particle in medium. • Parameters of model: • Correlation amplitude - σ • Correlation length - a • Initial chromopermittivity function: ε₀(ω) To make calculation self-consistent chromopermittivity function:

9. Results for energy loss (I) Energy losses per length unit of high energy gluon as a function of one's energy (CV = 3): fluctuation amplitude σ = 0.3, initial conductivity ε₀ = 0.6, dielectric function's constancy range border value ω = 6 GeV, correlation length a = 0.5 fm

10. Results for energy loss (II). Cherenkov case. Definition: Δ as a function of ω (GeV) for ε₀ = 7 and σ = 0.3

11. Conclusions. • Chromopermittivity may be used as a phenomenological parameter of strongly interacting media. • Effective chromoelectric tensor was calculated in random medium. • Energy loss of relativistic particle in stochastic medium may be comparable with the collision ones. • Cherenkov energy loss >> stochastic transient-like ones.