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

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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[10]	Zheng Weihong , Liu Jinming , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(2) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S1): 51-54.
[11]	LI Wen-Zhu , ZHANG Jian-Bo . VARIATIONAL ANALYSIS OF CUMULANT EXPANSION IN SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1988, 12(5): 608-615.
[12]	Liu Jinming , Zheng Weihong , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S2): 137-142.
[13]	WU Ji-Min , ZHAO Pei-Ying . THE ANALYTIC RESULTS FOR U₁ AND SU₂ AVERAGE PLAQUETTE TO THE THIRD ORDER APPROXIMATION IN THE CUMULANT EXPANSION. Chinese Physics C, 1986, 10(3): 297-307.
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[16]	HE Xiang-Hao , LI Tie-Zhong , XIAN Ding-Chang . SINGLE LINK PARTITION FUNCTIONS FOR VARIOUS FORMS OF SOURCES AND THEIR APPLICATIONS IN SU(3) LATTICE GAUGE FIELD THEORY. Chinese Physics C, 1984, 8(6): 772-776.
[17]	CHEN Tian-Lun , Zhou Hong-Mo , LI Tie-Zong , XIAN Ding-Chang , ZHENG Xi-Te . VARIATIONAL ANALYSIS OF THE SU(3) LATTICE GAUGE THEORY. Chinese Physics C, 1984, 8(5): 653-656.
[18]	MA ZHONG-QI , DONG FANG-XIAO , ZHOU XIAN-JIAN , XUE PEI-YOU . CLASSICAL STATIC AND SPHERICALLY SYMMETRIC SOLUTION OF SU(3) GAUGE FIELD WITH A STATIC AND ECTERNAL EXTERNAL SOURCE. Chinese Physics C, 1981, 5(2): 182-191.
[19]	Tao Fu-zhen , Yao Qi-yuan , Ou Zhi , He Zhi-qiang . THE SPHERICAL SOLUTIONS OF THE SCALAR FIELD EQUATION IN SU (2) GAUGE FIELD THEORY. Chinese Physics C, 1980, 4(2): 179-185.
[20]	WU YONG-SHI , CHEN SHIH , TU TUNG-SHENG , GUO HAN-YING . DUAL CHARGES OF A SUBGROUP IN GAUGE THEORIES——MAGNETIC MONOPOLES OF SU₂ & SO₃ GAUGE FIELD. Chinese Physics C, 1977, 1(1): 52-64.

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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.