Nonlinear dynamics of soft boson collective excitations in hot QCD plasma III: Bremsstrahlung and energy losses

Journal Article · Thu Dec 15 04:00:00 EST 2005 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2005.06.005· OSTI ID:20766970

Markov, Yu A ^[1]; Markova, M A ^[1]; Vall, A N ^[2]

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1. Institute of System Dynamics and Control Theory SB RAS, P.O. Box 1233, 664033 Irkutsk (Russian Federation)
2. Irkutsk State University, Department of Theoretical Physics, Gagarin blrd 20, 664003 Irkutsk (Russian Federation)

Within the framework of semiclassical approximation a general formalism for deriving an effective current generating bremsstrahlung of arbitrary number of soft gluons (longitudinal or transverse ones) in scattering of higher-energy parton off thermal parton in hot quark-gluon plasma with subsequent extension to two and more scatterers is obtained. For the case of static color centers, an expression for energy loss induced by usual bremsstrahlung of lowest-order with allowance for an effective temperature-induced gluon mass and finite mass of the projectile (heavy quark) is derived. The detailed analysis of contribution to radiation energy loss associated with existence of effective three-gluon vertex induced by hot QCD medium is performed. It is shown that in general, the bremsstrahlung associated with this vertex has no sharp direction (as in the case of usual bremsstrahlung) and therefore here, we can expect an absence of suppression effect due to multiple scattering. For the case of two-color static scattering centers it was shown that the problem of calculation of bremsstrahlung induced by four-gluon hard thermal loop (HTL) vertex correction can be reduced to the problem of the calculation of bremsstrahlung induced by three-gluon HTL correction. It was shown that for limiting value of soft gluon occupation number N {sub k} {approx} 1/{alpha} {sub s} all higher processes of bremsstrahlung of arbitrary number of soft gluons become of the same order in coupling, and the problem of resummation of all relevant contributions to radiation energy loss of fast parton, arises. An explicit expression for matrix element of two soft gluon bremsstrahlung in small angles approximation is obtained.

• OSTI ID: 20766970
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 320; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B QUARKS
BREMSSTRAHLUNG
C QUARKS
COLLECTIVE EXCITATIONS
COLOR CENTERS
CORRECTIONS
ENERGY LOSSES
GLUONS
HOT PLASMA
MASS
MATRIX ELEMENTS
MULTIPLE SCATTERING
NONLINEAR PROBLEMS
OCCUPATION NUMBER
QUANTUM CHROMODYNAMICS
QUARK MATTER
SEMICLASSICAL APPROXIMATION
T QUARKS