Infrared Divergences of Three-loop Vacuum Graghs of Quark Field at Hight Temperature

Chen Xiangjun; Zhang Weining; Wang Wei

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1999, Vol. 23> Issue(3) : 260-267

Infrared Divergences of Three-loop Vacuum Graghs of Quark Field at Hight Temperature

Department of Physics, Harbin Institute of Technology, Harbin 150001

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Abstract：
The infrared divergences in vacuum graghs of quark (ignored mass) field at high tempethere are calculated in detial by real-time formulation of Green function, a kind of infrared divergent integral related to F-D statistical factor is pointed out and its regularization is discussed. All of the infrared divergences in three-loop vacuum graghs of quark field are isolated.

References

[1]

Chen Xiangjun, Liu Lianshou. High Energy Phys. and Nucl. Phys.(in Chinese),1995, 19(10):907–915(陈相君,刘连寿.高能物理与核物理,1995,19(10);907–915) 2 Chen Xiangjun, Liu Lianshou . High Energy Phys. and Nucl. Phys(in Chinese),1997,21(5):425–432(陈相君,刘连寿.高能物理与核物理,1997,21(5):425–432) 3 Chen Xiangjun, Liu Lianshou.High Energy Phys. and Nucl. Phys.(in Chinese),1998, 22(2: 133–140(陈相君,刘连寿.高能物理与核物理,1998,22(10):133–140)4 Chen Xiangjun , Liu Lianshou. High Energy Phys. and Nucl. Phys(in Chinese), 1998, 22(5):460–465(陈相君,刘连寿.高能物理与核物理, 1998,22(5):460–465)5 Li Jiarong.Introduction To Quark Matter Theory(in Chinese). Changsha: Hunan Education Press,1989 86–90(李家荣.夸克物质理论导论.长沙:湖南教育出版社,1989 86–90)6 Dai Yuanben.Gauge Theory of Interaction(in Chinese). Beijing: Academic Press, 1987.181–187(戴元本.相互作用的规范理论.北京:科学出版杜,1987 181–187) 7 Kapusta J I. Finite Temperature Field Theory. Cambridge: Cambridge University Press,1989.44–46

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Chen Xiangjun, Zhang Weining and Wang Wei. Infrared Divergences of Three-loop Vacuum Graghs of Quark Field at Hight Temperature[J]. Chinese Physics C, 1999, 23(3): 260-267.

Chen Xiangjun, Zhang Weining and Wang Wei. Infrared Divergences of Three-loop Vacuum Graghs of Quark Field at Hight Temperature[J]. Chinese Physics C, 1999, 23(3): 260-267. shu

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Received: 1998-08-17
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

Infrared Divergences of Three-loop Vacuum Graghs of Quark Field at Hight Temperature

Corresponding author: Chen Xiangjun,

Department of Physics, Harbin Institute of Technology, Harbin 150001

Received Date: 1998-08-17
Accepted Date: 1900-01-01
Available Online: 1999-03-05

Abstract: The infrared divergences in vacuum graghs of quark (ignored mass) field at high tempethere are calculated in detial by real-time formulation of Green function, a kind of infrared divergent integral related to F-D statistical factor is pointed out and its regularization is discussed. All of the infrared divergences in three-loop vacuum graghs of quark field are isolated.