Chinese Physics C > 1997, Vol. 21 > Issue(5): 425-432

Regularization of Infrared Divergences in the Vacuum Graphs of Massless Field at Finite Temperature

Chen Xiangjun^,,
Liu Lianshou

Department of Physics, Harbin Institute of Technology, Harbin 1500012 Institude of Particle Physics, Huazhong Nornal University,Wuhan 430070

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Abstract：
The infrared divergences of three-loop vacuum graphs of massless scalar and gluonfields and their regularization are discussed. The expression for analytical continuation is given. How to seperate the infrared and collinear divergences from overlap ones is also discussed.

References

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[2]	Ma Fengcai,Liu Yanxia,Xiao Hongfei. Vacuum Polarization in Finite Temperature and the Electromagnetic Properties of Background Medium. Chinese Physics C, 1998, 22(9): 823-829.
[3]	Chen Xiangjun,Liu Lianshou. Dimensional Regularization and Analytical Continuationat Finite Temperature. Chinese Physics C, 1998, 22(5): 460-465.
[4]	Chen Xiangjun,Liu Lianshou. Infrared Divergences of Three-Loop Vacuum Graghs of Gluon Field at Finite Temperature. Chinese Physics C, 1998, 22(2): 133-140.
[5]	Wang Xin,Li Jiarong. Dimensional Regularization in Imaginary-Time Temperature Field Theory and Thermodynamic Potential of Two-Loop QED. Chinese Physics C, 1997, 21(3): 216-226.
[6]	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.
[7]	Zheng Taiyu. Casimir Effect at Finite Temperature. Chinese Physics C, 1995, 19(3): 241-244.
[8]	Chen Xiangjun,Liu Lianshou. Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature. Chinese Physics C, 1995, 19(10): 907-910.
[9]	Zhang Jianwei,Deng Weizhen,Yang Zesen,Yang Liming. Dimensional Regularization and π-meson Properties in Nambu-Jona-Lasinio Model. Chinese Physics C, 1994, 18(9): 821-828.
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Chen Xiangjun and Liu Lianshou. Regularization of Infrared Divergences in the Vacuum Graphs of Massless Field at Finite Temperature[J]. Chinese Physics C, 1997, 21(5): 425-432.

Chen Xiangjun and Liu Lianshou. Regularization of Infrared Divergences in the Vacuum Graphs of Massless Field at Finite Temperature[J]. Chinese Physics C, 1997, 21(5): 425-432. shu

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Received: 1900-01-01
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

Regularization of Infrared Divergences in the Vacuum Graphs of Massless Field at Finite Temperature

Chen Xiangjun^,
Liu Lianshou

Corresponding author:Chen Xiangjun,

Department of Physics, Harbin Institute of Technology, Harbin 1500012 Institude of Particle Physics, Huazhong Nornal University,Wuhan 430070

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1997-05-05

Abstract:The infrared divergences of three-loop vacuum graphs of massless scalar and gluonfields and their regularization are discussed. The expression for analytical continuation is given. How to seperate the infrared and collinear divergences from overlap ones is also discussed.