Dimensional Regularization and Analytical Continuationat 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> 1998, Vol. 22> Issue(5) : 460-465

Dimensional Regularization and Analytical Continuationat Finite Temperature

Chen Xiangjun ^, ,
Liu Lianshou

Department of Physics, Harbin Institute of Technology, Harbin, 1500012 Institute of Partical Physics, Huazhong Normal University, Wuhan, 430079

Abstract
HTML
Reference
Related

PDF

Abstract：
The relationship between dimensional regularization and analytical conti- nuation of infrared divergent integrals at finite temperature is discussed and a method of regularization of infrared divergent integrals and infrared divergent sums is gevin.

References

[1]

Ramond P. Field Theory—a Modem Primer (Benjamin/Cummings Publishing Compny, Canada, 1981) [2] Dai Yuanben. Gauge Theory of Interaction(in Chinese). Beijing: Academic Press, 1987, 181一187(戴元本.相互作用的规范理论，北京:科学出版社，1987, 181-187) [3] Muta T. Foundations of Quantum Chromodynamic—an Introduction to Perturbative Methods in Crauge Theory (World Scientific, 1987) [4] Grandshteyn I S, Ryzhik I M. Table of Integrals, Series and Priducts (Academic Press, U. S. A. 1980) [5] Chen Xiangjun, Liu Lianshou. High Energ. Phys. and Nucl. Phys. (in Chinese), 1997, 21(5):425(陈相君，刘连寿.高能物理与核物理，1997, 21(5):425) [6] Chen Xiangjun, Liu Lianshou. High Energ. Phys, and Nucl. Phys. (in Chinese), 1995, 19(10):907(陈相君，刘连寿.高能物理与核物理，1995, 19(10): 907)

[1]	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.
[2]	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.
[3]	Zheng Taiyu . Casimir Effect at Finite Temperature. Chinese Physics C, 1995, 19(3): 241-244.
[4]	Chen Xiangjun , Liu Lianshou . Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature. Chinese Physics C, 1995, 19(10): 907-910.
[5]	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.
[6]	Liu Wensheng , Cui Jianying , Yang Jinmin , Wan Lingde . The Phase Tansitions in Abelian Lattice Gauge Theories at Finite Temperature:An Analytical Analysis. Chinese Physics C, 1994, 18(11): 996-1002.
[7]	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.
[8]	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.
[9]	ZHENG Guo-Tong , SU Ru-Keng . One η-Meson Exchange Potential of Nucleon-Nucleon at Finite Temperature. Chinese Physics C, 1992, 16(2): 131-136.
[10]	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.
[11]	LOU Sen-Yue , NI Guang-Jiong . VARIATIONAL ANALYSIS OF THE GROSS-NEVEU MODEL AT ZERO AND FINITE TEMPERATURE. Chinese Physics C, 1990, 14(3): 228-235.
[12]	ZHENG Xi-Te , LIU Bei-Shu . ANALYTICAL TREATMENT OF SU(2)-HIGGS SYSTEM ON LATTICE AT FINITE TEMPERATURE. Chinese Physics C, 1990, 14(10): 892-899.
[13]	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.
[14]	WANG En-Ke , LI Jia-Rong . DECONFINEMENT TRANSITION OF NONTOPOLOGICAL SOLITON MODEL AT FINITE TEMPERATURE. Chinese Physics C, 1989, 13(11): 1003-1006.
[15]	BI Pin-Zhen . KAONS CONDENSATION AT FINITE TEMPEATURE. Chinese Physics C, 1989, 13(3): 219-221.
[16]	CHEN Tao , SU Ru-Keng . THE ONE PION EXCHANGE POTENTIAL AT FINITE TEMPERATURE. Chinese Physics C, 1988, 12(1): 140-144.
[17]	WANG Qin-Mou . THERMODYNAMICAL PROPERTIES OF GAUGE THEORIES AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL (Ⅱ). Chinese Physics C, 1987, 11(2): 182-185.
[18]	WANG Qin-Mou . THERMODYNAMICAL PROPERTIES OF GAUGE THEORIES AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL. Chinese Physics C, 1986, 10(1): 24-31.
[19]	ZHANG Yue-Zhong . AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_Y MODEL. Chinese Physics C, 1985, 9(4): 430-436.
[20]	SU Ru-Keng , BI Pin-Zhen . THE ELEMENTARY EXCITATION SPECTRA OF MOHAPATRA-SENJANOVIC MODEL AT FINITE TEMPERATURE. Chinese Physics C, 1984, 8(2): 177-184.

Access

Get Citation

Chen Xiangjun and Liu Lianshou. Dimensional Regularization and Analytical Continuationat Finite Temperature[J]. Chinese Physics C, 1998, 22(5): 460-465.

Chen Xiangjun and Liu Lianshou. Dimensional Regularization and Analytical Continuationat Finite Temperature[J]. Chinese Physics C, 1998, 22(5): 460-465. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2683)
PDF Downloads(524)
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

Dimensional Regularization and Analytical Continuationat Finite Temperature

Chen Xiangjun ^,
Liu Lianshou

Corresponding author: Chen Xiangjun,

Department of Physics, Harbin Institute of Technology, Harbin, 1500012 Institute of Partical Physics, Huazhong Normal University, Wuhan, 430079

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

Abstract: The relationship between dimensional regularization and analytical conti- nuation of infrared divergent integrals at finite temperature is discussed and a method of regularization of infrared divergent integrals and infrared divergent sums is gevin.