Dimensional Regularization and Analytical Continuationat 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> 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

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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]	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]	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.
[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.

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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

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

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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.