Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature

Chen Xiangjun; Liu Lianshou

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1995, Vol. 19> Issue(10) : 907-910

Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature

Chen Xiangjun ^, ,
Liu Lianshou

Institute of Particle Physics, Hua-Zhong Normal University, Wuhan 430070

Abstract
HTML
Reference
Related

PDF

Abstract：
The angular infrared divergences of three-loop vacuum graph in the massless scalar field φ³ theory and the scheme of dimensional regularization for these divergences are discussed.Its analytical expression in D-dimensional space is given.

References

[1]

Y.Fujimotom,M.Loewe,J.C.Rojas,Dimensional Regularization at Finite Temperature,to be published inZ.Phys.C.[2] T.Muta,Foundations of Quantum Chromodynamics-an Introduction to Perturbative Methodsin Gauge Theories,World Scientific,1987.[3] 戴元本，相互作用的规范理论，科学出版社，1987.[4] L.Dolan,R.Jackiw,Phys.Rev.,D9（1974）3320.[5] A.J.Niemi,G.W.Semenoff,Nucl.Phys,B236（1984）181.[6] Chen Xiangjun,Y.Fujimoto,Dimensional Regularization and Analytical Continuation at Finte Temperature,Huazhong Normal University Preprint,1994.

[1]	WAN Ling-De , CAO Jun-Jie . Infrared Divergence in Loop Functions. Chinese Physics C, 2003, 27(5): 381-385.
[2]	DU Dong-Sheng . Infrared Divergence and Twist-3 Wave Functions in QCD Factorization for B→PP Decays. Chinese Physics C, 2002, 26(S1): 11-15.
[3]	XIAO Jun , WANG En-Ke . Bremsstrahlung Radiative Correction in QED at Finite Temperature. Chinese Physics C, 2001, 25(8): 772-779.
[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]	Chen Xiangjun , Liu Lianshou . Dimensional Regularization and Analytical Continuationat Finite Temperature. Chinese Physics C, 1998, 22(5): 460-465.
[6]	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.
[7]	Chen Xiangjun , Liu Lianshou . Regularization of Infrared Divergences in the Vacuum Graphs of Massless Field at Finite Temperature. Chinese Physics C, 1997, 21(5): 425-432.
[8]	Zheng Taiyu . Casimir Effect at Finite Temperature. Chinese Physics C, 1995, 19(3): 241-244.
[9]	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.
[10]	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.
[11]	Gao Shouen , Hut Yuan , Zheng Guotong , Su Rukeng . η-meson in the Pseudoscalar Coupling at Finite Temperature. Chinese Physics C, 1994, 18(2): 148-153.
[12]	BAO Jing-Dong , ZHUO Yi-Zhong , WU Xi-Zhen . Quantum Correction of the Multidimensional Fission Rate at Finite Temperature. Chinese Physics C, 1993, 17(4): 362-366.
[13]	QIAN Zhi-Xin , ZHONG Wan-Heng , SU Ru-Keng . Yukawa Potential at Finite Temperature and Finite Density. Chinese Physics C, 1993, 17(5): 417-422.
[14]	HUANG Jing-Yi , CAI Sheng-Shan , HU Si-Zhu , SU Ru-Keng . Chiral Bag Model at Finite Temperature. Chinese Physics C, 1992, 16(6): 494-498.
[15]	ZHENG Guo-Tong , SU Ru-Keng . π AND σ MESON EXCHANGE POTENTIALS OF NUCLEON-NUCLEON INTERACTION AT FINITE TEMPERATURE. Chinese Physics C, 1990, 14(3): 220-227.
[16]	BI Pin-Zhen . KAONS CONDENSATION AT FINITE TEMPEATURE. Chinese Physics C, 1989, 13(3): 219-221.
[17]	CHEN Tao , SU Ru-Keng . THE ONE PION EXCHANGE POTENTIAL AT FINITE TEMPERATURE. Chinese Physics C, 1988, 12(1): 140-144.
[18]	CHEN Wei . ALTERNATIVE REGULARIZATION SCHEME AND CONFORMAL ANOMALY IN STRINGS. Chinese Physics C, 1988, 12(5): 715-720.
[19]	WANG Qin-Mou . THERMODYNAMICAL PROPERTIES OF GAUGE THEORIES AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL (Ⅱ). Chinese Physics C, 1987, 11(2): 182-185.
[20]	WANG Qin-Mou . THERMODYNAMICAL PROPERTIES OF GAUGE THEORIES AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL. Chinese Physics C, 1986, 10(1): 24-31.

Access

Get Citation

Chen Xiangjun and Liu Lianshou. Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature[J]. Chinese Physics C, 1995, 19(10): 907-910.

Chen Xiangjun and Liu Lianshou. Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature[J]. Chinese Physics C, 1995, 19(10): 907-910. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2500)
PDF Downloads(560)
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

Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature

Chen Xiangjun ^,
Liu Lianshou

Corresponding author: Chen Xiangjun,

Institute of Particle Physics, Hua-Zhong Normal University, Wuhan 430070

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-10-05

Abstract: The angular infrared divergences of three-loop vacuum graph in the massless scalar field φ³ theory and the scheme of dimensional regularization for these divergences are discussed.Its analytical expression in D-dimensional space is given.