Download Transient like radiation quenching mechanism

Transient-like radiation
quenching mechanism
M. Kirakosyan1, A. Leonidov1
1 Lebedev Physical Institute of RAS
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.
Equations for in-medium
gluodinamics:
I. M. Dremin
Inhomogeneity of initial state in heavy
ion collisions
NeXSPheRIO initial energy density in the
transverse (left) and reaction (center) planes
for a central Au+Au collision at 200 GeV A
HIJING energy density
fluctuations a thermalization
time ~0.5 fm/c.
Wave equation in inhomogeneous
media.
In abelian approximation (color indices are skipped):
Model:
Feynman rules for averaged values:
Propagator:
Elemntary polarization loop:
Dyson equation:
Polarization operator:
Effective di(chromo)electric tensor in
σ²ka<<1
limit
:
:
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:
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
Results for energy loss (II). Cherenkov case.
Definition:
Δ as a function of ω (GeV) for ε₀ = 7 and σ = 0.3
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.