Regularization of Infrared Divergences in the Vacuum Graphs of Massless 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> 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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李家荣，夸克物质理论导论，湖南教育出版社，1989.[2]J.Kapusta,Finite Temperature Field Theory,Cambridge University Press,1989.[3]陈相君、刘连寿，高能物理与核物理，19（1995）907.[4]Y.Fujimoto,M.Loewe,J.C.Rojas,Dimensional Regularizion at Fenete Temperature,preprint of Pontifieia Universidad Catolica de Chile（1993）.[5]R.Baier,B.Pire,D.Schiff,phys.Rev.,D38（1989）2814.[6]J.Cleymans,I.Dadic,Z.Phys.,C42（1989）133.[7]I.S.Gradshteyn,I.M.Ryxhik,Table of Integrals,Series and Priducts,（Academic Press,1980）.[8]郭敦仁，数学物理方法，人民教育出版社，1978.[9]A.J.Neimi,G,W.Semenoff,Nucl.Phys.,B236（1984）181.

[1]	Chen Xiangjun , Zhang Weining , Wang Wei . Infrared Divergences of Three-loop Vacuum Graghs of Quark Field at Hight Temperature. Chinese Physics C, 1999, 23(3): 260-267.
[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]	Zheng Taiyu . Casimir Effect at Finite Temperature. Chinese Physics C, 1995, 19(3): 241-244.
[7]	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.
[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.