The Mean-plaquette Internal Energy for <span style="text-decoration:underline">SU</span>(3) Gauge Theory in Cumulant Expansion

Chen Qizhou; Liu Jinming; Xue Xun; Zheng Weihong; Guo Shuohong

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(S4) : 371-378

The Mean-plaquette Internal Energy for SU(3) Gauge Theory in Cumulant Expansion

Department of Physics, Zhongshan University, Guangzhou

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Abstract：
Cumulant expansion is used to calculate the mean plaquette internal energy for the d-dimensional SU(3) gauge theory. We use the methods of series expansion and steepest descent to calculate the SU(3) one-link invariant group integral. These two methods agree accurately with each other. The results show that the cumulant expansion is effective for 3-dimensional lattice gauge theory.

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[2]	Zhao Peiying , Wu Jimin . Phase Structure of U(l) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action. Chinese Physics C, 1996, 20(S1): 47-54.
[3]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(5): 398-404.
[4]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(S3): 265-272.
[5]	LIU Jin-Ming , GONG Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(2): 128-133.
[6]	Zheng Xite , Lei Chunhong , Li Yuliang , Chen Hong . Study of Higher Order Cumulant Expansion of U(l) Lattice Gauge Model at Finite Temperature. Chinese Physics C, 1993, 17(S3): 271-276.
[7]	Liu Jinming , Gong Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(S1): 45-52.
[8]	Luo Xiangqian , Chen Qizhou , Guo Shuohong . Vacuum State of 2+1 Dimensional SU(2) Lattice Gauge Theory With Fermions and Spontaneous Chiral Symmetry Breaking. Chinese Physics C, 1989, 13(S2): 157-164.
[9]	Li Zhibing , Zheng Weihong , Guo Shuohong . The String Tensions of (2+1)-dimensional SU(2) Gauge Theory. Chinese Physics C, 1989, 13(S3): 245-248.
[10]	ZHENG Xi-Te , XU Yong . ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(8): 765-768.
[11]	Zheng Xite , Xu Yong . Analytic Study of SU(3) Lattice Gauge Theory. Chinese Physics C, 1989, 13(S3): 249-252.
[12]	CHEN Qi-Zhou , LIU Jin-Ming , XUE Xun , ZHENG Wei-Hong , GUO Shuo-Hong . THE MEAN-PLAQUETTE INTERNAL ENERGY FOR SU(3) GAUGE THEORY IN CUMULANT EXPANSION. Chinese Physics C, 1989, 13(10): 900-906.
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[20]	Dong Fang-xiao , Zhou Xian-jian , Huang Tao , Xue Pei-you . THE TIME-DEPENDENCES OF THE STATIC SOLUTION OF SU(2) AND SU(3) GAUGE THEORY AT THE PRESENCE OF STATIC EXTENDED SOURCE. Chinese Physics C, 1980, 4(6): 724-734.

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Chen Qizhou, Liu Jinming, Xue Xun, Zheng Weihong and Guo Shuohong. The Mean-plaquette Internal Energy for SU(3) Gauge Theory in Cumulant Expansion[J]. Chinese Physics C, 1989, 13(S4): 371-378.

Chen Qizhou, Liu Jinming, Xue Xun, Zheng Weihong and Guo Shuohong. The Mean-plaquette Internal Energy for SU(3) Gauge Theory in Cumulant Expansion[J]. Chinese Physics C, 1989, 13(S4): 371-378. shu

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Received: 1989-01-03

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This work was supported in part by the Science Fund of the Chinese Education Committee and by the Foundation of Zhongshan University Advanced Research Center.

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沈阳化工大学材料科学与工程学院沈阳 110142

The Mean-plaquette Internal Energy for SU(3) Gauge Theory in Cumulant Expansion

Department of Physics, Zhongshan University, Guangzhou

Received Date: 1989-01-03

Fund Project: This work was supported in part by the Science Fund of the Chinese Education Committee and by the Foundation of Zhongshan University Advanced Research Center.

Abstract: Cumulant expansion is used to calculate the mean plaquette internal energy for the d-dimensional SU(3) gauge theory. We use the methods of series expansion and steepest descent to calculate the SU(3) one-link invariant group integral. These two methods agree accurately with each other. The results show that the cumulant expansion is effective for 3-dimensional lattice gauge theory.