scholarly journals Dielectric functions and dispersion relations of ultra-relativistic plasmas with collisions

2004 ◽  
Vol 82 (9) ◽  
pp. 671-678 ◽  
Author(s):  
M E Carrington ◽  
T Fugleberg ◽  
D Pickering ◽  
M H Thoma
Keyword(s):  
Quark Gluon Plasma ◽  
Transport Theory ◽  
Plasma Waves ◽  
Gluon Plasma ◽  
Dispersion Relations ◽  
Time Approximation ◽  
Relativistic Plasmas ◽  
Relaxation Time Approximation ◽  
Electron Positron ◽  
Classical Transport

In the present paper, we calculate the dielectric functions of an ultra-relativistic plasma, such as an electron–positron or a quark–gluon plasma. We use classical transport theory and take into account collisions within the relaxation time approximation. From these dielectric functions we derive the dispersion relations of longitudinal and transverse plasma waves. PACS Nos.: 12.38.Mh, 52.25.Dg, 52.27.Ep, 52.35.Hr

scholarly journals Classical transport theory and hard thermal loops in the quark-gluon plasma

1994 ◽  
Vol 50 (6) ◽  
pp. 4209-4218 ◽  
Author(s):  
P. F. Kelly ◽  
Q. Liu ◽  
C. Lucchesi ◽  
C. Manuel
Keyword(s):  
Quark Gluon Plasma ◽  
Transport Theory ◽  
Gluon Plasma ◽  
Classical Transport ◽  
Hard Thermal Loops

CHARM QUARK THERMALIZATION IN QUARK-GLUON PLASMA

2007 ◽  
Vol 16 (07n08) ◽  
pp. 2048-2054 ◽  
Author(s):  
LI YAN ◽  
PENGFEI ZHUANG ◽  
NU XU
Keyword(s):  
Relaxation Time ◽  
Quark Gluon Plasma ◽  
Transport Model ◽  
Charm Quark ◽  
Gluon Plasma ◽  
Transverse Momentum Distribution ◽  
Hydrodynamic Description ◽  
Charm Quarks ◽  
Relaxation Time Approximation ◽  
Quark Transverse Momentum

The charm quark thermalization in quark-gluon plasma is described by a transport model in relaxation time approximation. Combining the transport equation for charm quarks with the hydrodynamic description for the medium, we calculated the charm quark transverse momentum distribution and discussed its dependence on the relaxation time.

scholarly journals Transport theory of the quark-gluon plasma based on an operator-field Langevin equation

1988 ◽  
Vol 37 (10) ◽  
pp. 3033-3045 ◽  
Author(s):  
Masashi Mizutani ◽  
Shin Muroya ◽  
Mikio Namiki
Keyword(s):  
Langevin Equation ◽  
Quark Gluon Plasma ◽  
Transport Theory ◽  
Gluon Plasma ◽  
Operator Field

scholarly journals SCREENING LENGTH, DISPERSION RELATIONS AND QUARK POTENTIAL IN THERMO FIELD DYNAMICS

2002 ◽  
Vol 17 (21) ◽  
pp. 2911-2923
Author(s):  
WANYUN ZHAO ◽  
F. C. KHANNA
Keyword(s):  
High Temperature ◽  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
Dispersion Relations ◽  
Ladder Approximation ◽  
Screening Length ◽  
The Real ◽  
Self Energy ◽  
Thermo Field Dynamics ◽  
Quark Potential

The screening length in a quark–gluon plasma, the dispersion relations of thermal gluon self-energy and the quark potential at high temperature are studied within the thermo field dynamics framework. By calculating the real and imaginary parts, of the gluon self-energy in one-loop order in thermo field dynamics, we obtain an expression for the screening length in a quark–gluon plasma and the dispersion relation between the real and imaginary parts. At high temperature, using photon exchange between electron-positron in a skeleton expansion and ladder approximation, the screened Coulomb potential and an expression for the screened quark potential is obtained.

scholarly journals Energy loss of heavy quarks in the isotropic collisional hot QCD medium

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
M. Yousuf Jamal ◽  
Vinod Chandra
Keyword(s):  
Energy Loss ◽  
Transport Theory ◽  
Bottom Quark ◽  
Charm Quark ◽  
Heavy Quarks ◽  
Momentum Dependence ◽  
Temperature Dependent ◽  
Medium Effects ◽  
Relaxation Time Approximation ◽  
Classical Transport

Abstract The collisional energy loss of heavy partons (charm and bottom quarks) has been determined within the framework of semi-classical transport theory implying the Bhatnagar–Gross–Krook (BGK) collisional kernel. Hot QCD medium effects have been incorporated while employing a quasi-particle description of the medium in terms of effective gluons, quarks and antiquarks with respective temperature dependent effective fugacities. The momentum dependence of the energy loss for the charm and the bottom quark has been investigated. It is observed that with the increase in momentum of the heavy quarks, the loss increases sharply for the smaller values and reaches saturation later. Furthermore, as compared to the charm quark, the bottom quark loses less energy at a particular momentum and collisional frequency. The energy loss is seen to increase with increasing collisional frequency. We also provide a comparative study of the results obtained using the BGK kernel rather than those using the relaxation time approximation (RTA) kernel and found them to be consistent with each other. The medium effects in all the situations are seen to play a quite significant role.

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