Dimensional Regularization and Analytical Continuationat Finite Temperature

Chen Xiangjun; Liu Lianshou

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]	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.
[6]	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.
[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]	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.
[9]	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.
[10]	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.
[11]	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.
[12]	ZHENG Guo-Tong , SU Ru-Keng . Vextex Corrections and one σ Exchange Potential at Finite Temperature. Chinese Physics C, 1991, 15(8): 689-694.
[13]	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.
[14]	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.
[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(3642)
PDF Downloads(526)
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.