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

ZHANG Chao; ZHENG Xiao-Ping

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

Abstract
HTML
Reference
Related

PDF

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

[1]	TIAN Jun-Long , WU Xi-Zhen , LI Zhu-Xia . Study on Dynamic Fusion Barrier in Heavy-Ion Fusion Reactions. Chinese Physics C, 2006, 30(5): 428-434.
[2]	BAO Jing-Dong . Simulating Methods in Nuclear Reaction Dynamics. Chinese Physics C, 2006, 30(S2): 24-28.
[3]	ZHOU Hai-Tao , TAO Ye , LIU Tao , LI Gang , ZHU Man-Kang . Set-Up of Magnetic Circular Dichroism of Hard X-Rays Range at Beijing Synchrotron Radiation Laboratory. Chinese Physics C, 2006, 30(10): 1022-1026.
[4]	HU Shou-Yang , FU Yuan-Yong , LU Zhong-Dao . Chemical Potential of Resonance Matter and Particle Density, Energy Density. Chinese Physics C, 2005, 29(5): 472-475.
[5]	ZHANG BenWei , HOU DeFu , LI JiaRong . Dependence of ρ Meson mass on Temperature and Chemical Potential. Chinese Physics C, 2000, 24(5): 457-461.
[6]	Chen Xiangjun , Zhang Weining , Huo Lei . Two-Loop Correction of Thermodynamic Potential of QCD at Finite Temperature. Chinese Physics C, 1999, 23(11): 1083-1089.
[7]	Chen Zhongqiu , Shao Changgui , Ma Weichuan . Calculation of Wilson Loop Functionals for Classical and Quantum Gravities. Chinese Physics C, 1998, 22(3): 217-224.
[8]	Li Panlin , Wu Hua , Xu Mengjie . Dynamics of Phase Transition Including Quark-Fragment Effects foran Expansion Quark-Gluon Plasma. Chinese Physics C, 1997, 21(10): 918-925.
[9]	Deng Shenghua , Wang Enke , Li Jiarong . Two-Loop Effective Potential of Non-topological Soliton Bag Model at Finite Temperature. Chinese Physics C, 1995, 19(8): 713-726.
[10]	Hou Defu , Li Jiarong . Finite-Temperature Thermodynamic Potential of Two-Loop QED and Overlapping Divergences at Arbitrary Gauge. Chinese Physics C, 1995, 19(11): 998-1004.
[11]	Hou Defu , Li Jiarong . Cutting Rules and Imaginary Parts of Thermal Green Functions in Thermofield Dynamics. Chinese Physics C, 1995, 19(10): 891-897.
[12]	BAI Zhi-Ming , JIANG Yuan-Fang . The One Loop Calculation of the Strong coupling β Function in the Toy Model. Chinese Physics C, 1991, 15(3): 213-219.
[13]	CHEN Qi-Zhou , LI Zhi-Bing , LUO Xiang-Qian , DAI Fu-Hua , GUO Shuo-Hong . VACUUM EXPECTATION VALUES OF 6-LINK WILSON LOOP IN SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1990, 14(3): 212-219.
[14]	GE Ling-Xiao , ZENG Xiang-Hua , LIU Jian-Ye , ZENG Bao-Sheng . THE EFFECT OF COMPRESSION AND THERMAL EXCITATION FOR FRAGMENTATION DYNAMICS PROCESS OF HIC. Chinese Physics C, 1990, 14(3): 278-281.
[15]	ZHU Ping , MA Zhong-Yu , GU Ying-Qi , ZHUO Yi-Zhong . SELF-CONSISTENT CALCULATION OF RELATIVISTIC MICROSCOPIC OPTICAL POTENTIAL. Chinese Physics C, 1988, 12(6): 799-806.
[16]	WANG Qin-Mou . THERMODYNAMICAL PROPERTIES OF GAUGE THEORIES AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL (Ⅱ). Chinese Physics C, 1987, 11(2): 182-185.
[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 OF ¹⁸O AND ¹⁸F 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 THE t₃ρ^α TERM. 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.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2997)
PDF Downloads(545)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.