Multiple collisions and induced gluon Bremsstrahlung in QCD

Gyulassy, Miklos; Wang, Xin-nian

doi:10.1016/0550-3213(94)90079-5

Multiple collisions and induced gluon Bremsstrahlung in QCD

Miklos Gyulassy
(
- Columbia U.
)
,
Xin-nian Wang
(
- LBL, Berkeley
)

Jun, 1993

47 pages

Published in:

Nucl.Phys.B 420 (1994) 583-614

e-Print:

nucl-th/9306003 [nucl-th]

DOI:

10.1016/0550-3213(94)90079-5

Report number:

CU-TP-598,
LBL-32682

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Abstract:

Induced soft gluon bremsstrahlung associated with multiple collisions is calculated via perturbative QCD. We derive the non-abelian analog of the Landau-Pomeranchuk effect that suppresses induced soft radiation with formation times exceeding the mean free path,

\lambda

. The dependence of the suppression effect on the

SU(N)

representation of the jet parton as well as the kinematic variables is expressed through a radiation formation factor. Unlike in QED, the finite contribution from the small

x

regime in QCD leads to an approximately constant radiative energy loss per unit length,

dE/dz\propto \mu~2

, in the high energy limit that is sensitive to the infrared screening scale,

\mu

, of the medium. As a function of the dimensionless parameter

\zeta=\lambda \mu~2/E

, we show furthermore how the energy dependence of

dE/dz

evolves from the above constant for

\zeta\ll 1

to the more familiar (Bethe-Heitler) linear dependence for

\zeta \gg 1

.

gluon: bremsstrahlung
bremsstrahlung: gluon
quantum chromodynamics: perturbation theory
model: potential
multiple scattering: parton
parton: multiple scattering
symmetry: SU(N)
model: cascade
approximation: eikonal
quark gluon: interaction

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