Infrared Divergences of Three-Loop Vacuum Graghs of Gluon Field at Finite Temperature

Chen Xiangjun; Liu Lianshou

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1998, Vol. 22> Issue(2) : 133-140

Infrared Divergences of Three-Loop Vacuum Graghs of Gluon Field at Finite Temperature

Chen Xiangjun ^, ,
Liu Lianshou

Department of Physics, harbin Institute of Technology, Harbin 1500011 Institute of Partical Physics, Huazhong Normal University, Wuhan 430079

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Abstract：
The kinds of infrared divergent integrals in three-loop vacuum graghs of gluon field at finite temperature are pointed out and their regularization is discussed. All of the infrared divergences in three-loop vacuum graghs of gluon field are isolated.

References

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Kapusta J I. Finite Temperature Field Theoly. Cambridge: Cambridge University Press, 1989, 44-46[2] Linda A D. Phys. Lett., 1980, B%: 2893-2907[3] Gross D J, Pisarski R D, Yaffe L G. Rev. Mod. Phys., 1981, 53: 43-55[4] Toyoda T. Ann. Phys., 1982, 141: 154-178[5] Field R D. Applications of Perturbative QCD. New York: Addison-Wesley, 1989, 31-37[6] Fujimoto Y, Yamada H. Phys. Lett., 1987, B195: 231-234[7] Chen Xiangjun, Liu Lianshou. High Energy Physics and Nuclear Physics (in Chinese), 1997, 21 (5): 425-432(陈相君, 刘连寿. 高能物理与核物理, 1997, 21(5): 425-4321[8] Chen Xiangjun, Liu Lianshou. High Energy Physics and Nuclear Physics (in Chinese), 1995, 19(10): 907-915(陈相君, 刘连寿。高能物理与核物理, 1995, 19: 907-9151[9] Wi 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：科学出版社, 1987)

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Chen Xiangjun and Liu Lianshou. Infrared Divergences of Three-Loop Vacuum Graghs of Gluon Field at Finite Temperature[J]. Chinese Physics C, 1998, 22(2): 133-140.

Chen Xiangjun and Liu Lianshou. Infrared Divergences of Three-Loop Vacuum Graghs of Gluon Field at Finite Temperature[J]. Chinese Physics C, 1998, 22(2): 133-140. shu

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Received: 1900-01-01
Revised: 1900-01-01

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Infrared Divergences of Three-Loop Vacuum Graghs of Gluon Field at Finite Temperature

Chen Xiangjun ^,
Liu Lianshou

Corresponding author: Chen Xiangjun,

Department of Physics, harbin Institute of Technology, Harbin 1500011 Institute of Partical Physics, Huazhong Normal University, Wuhan 430079

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1998-02-05

Abstract: The kinds of infrared divergent integrals in three-loop vacuum graghs of gluon field at finite temperature are pointed out and their regularization is discussed. All of the infrared divergences in three-loop vacuum graghs of gluon field are isolated.