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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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.