Chinese Physics C > 2003, Vol. 27 > Issue(1): 63-66

Kinetic-Theory Approach to the “Hard Thermal Loop” Self-Energy Including Chemical Potential

ZHANG Chao^,,
ZHENG Xiao-Ping

Department of Physics,Central China Normal University, Wuhan 430079,China

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Abstract：
We briefly review the kinetic equations obeyed by classical non-Abelian plasmas. We get analytical effective mass including the effects of temperature and chemical potential when the contributions of both quark and anti-quark are considered. We derive the "Hard Thermal Loop" self-energy by solving these equations after the mass value is given. Our result is completely the same with the one from field theory.

References

[1]

Klimov V V,Sov J. Nucl. Phys.,1981,33:9342 Weldon H A. Phys. Rev.,1982,D26:1394;27893 Breaten E , Pisarski R D . Nucl . Phys . ,1990 , B337 : 569 ; B339: 3104 Taylor J C,Wong S. Nucl. Phys.,1990 , B343:1355 Efraty R, Nair V P. Phys. Rev. Lett.,1992,68:2891; Phys . Rev 1993,D47:56016 Bleizot 1 P,Iencu E. Phys. Rev. Lett.,1993,70:3376;Nucl. Phys 1994,B417:6087 Kelly P F,LIU Q,Lucchcsi C et al. Phys. Rev. Lett. ,1994,72:3461;Phys. Rev.,1994,D50:42098 Manuel C. Phys. Rev.,1996,D53:58669 Blaizot J P,Iancu E. Phys. Rep. ,2002,359:355-52810 Wong S. Nuovo Cim. ,1970,65A:68911 Heinz U. Phys. Rev. Lett.,1983 , 51: 81; Elze H T, Heinz U.Phys.Rep. ,1989,183:8112 Jackiw R,LIU Q,Lucchesi C. Phys. Rev.,1994,I?49:678713 Shin V P. Zh. Eksp. Teor. Fiz.,1960,38:1577

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[17]	WANG Qin-Mou. THERMODYNAMICAL PROPERTIES OF GAUGE THEORIES AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL. Chinese Physics C, 1986, 10(1): 24-31.
[18]	YUAN Zhu-Shu,SHEN Yong-Ping,WANG Yan-Seng,QIU Zhi-Hong,. A MICROSCOPIC STUDY OF THE LOW-LYING LEVELS OF¹⁸O AND¹⁸F WITH THE SKYRME INTERACTION. Chinese Physics C, 1985, 9(5): 586-593.
[19]	SHEN Qing-Biao,TIAN Ye,ZHUO Yi-Zhong. MICROSCOPIC OPTICAL POTENTIAL CALCULATION BY THE MODIFIED SKYRME FORCES WITH THEt₃ρ^αTERM. Chinese Physics C, 1983, 7(5): 618-625.
[20]	HE GUO-ZHU. NUCLEAR CHARGE DYNAMICS AND NUCLEAR POTENTIALS. Chinese Physics C, 1981, 5(2): 227-231.

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ZHANG Chao and ZHENG Xiao-Ping. Kinetic-Theory Approach to the “Hard Thermal Loop” Self-Energy Including Chemical Potential[J]. Chinese Physics C, 2003, 27(1): 63-66.

ZHANG Chao and ZHENG Xiao-Ping. Kinetic-Theory Approach to the “Hard Thermal Loop” Self-Energy Including Chemical Potential[J]. Chinese Physics C, 2003, 27(1): 63-66. shu

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Received: 2002-03-11
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Kinetic-Theory Approach to the “Hard Thermal Loop” Self-Energy Including Chemical Potential

ZHANG Chao^,
ZHENG Xiao-Ping

Corresponding author:ZHANG Chao,

Department of Physics,Central China Normal University, Wuhan 430079,China

Received Date:2002-03-11
Accepted Date:1900-01-01
Available Online:2003-01-05

Abstract:We briefly review the kinetic equations obeyed by classical non-Abelian plasmas. We get analytical effective mass including the effects of temperature and chemical potential when the contributions of both quark and anti-quark are considered. We derive the "Hard Thermal Loop" self-energy by solving these equations after the mass value is given. Our result is completely the same with the one from field theory.