Analytic Study of <i>SU</i>(3) Lattice Gauge Theory

Zheng Xite; Xu Yong

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(S3) : 249-252

Analytic Study of SU(3) Lattice Gauge Theory

Zheng Xite ¹ ,
Xu Yong ²

1. Chengdu University of Science and Technology, Chengdu;
2. Southwestern Jiaotong University, Chengdu

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Abstract：
The variational-cumulant expansion method is generalized to the case of the lattice SU(3) Wilson model. The plaquette energy as an order parameter is calculated to the 2nd order expansion. The result shows that the 1st order phase transition is not observed in the four-dimension case, which agrees with the result from the Monte Carlo calculation, but is clearly seen in the five-dimension case. This method can be used to study the problems in the lattice gauge theory with the SU(3) gauge group.

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[2]	Wu Jimin . Discussion on the Simulation Results About the Mass of Glueballs on Lattice Gauge Theory. Chinese Physics C, 1996, 20(S4): 333-338.
[3]	Hui Ping , Cai Pengfei , Chen Qizhou . Analytic calculation of Glueball Mass In (2+1)-D SU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[4]	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.
[5]	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.
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Zheng Xite and Xu Yong. Analytic Study of SU(3) Lattice Gauge Theory[J]. Chinese Physics C, 1989, 13(S3): 249-252.

Zheng Xite and Xu Yong. Analytic Study of SU(3) Lattice Gauge Theory[J]. Chinese Physics C, 1989, 13(S3): 249-252. shu

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Received: 1988-07-09

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Supported by the National Natural Science Foundation of China.

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

Analytic Study of SU(3) Lattice Gauge Theory

Zheng Xite ^1,
Xu Yong ^2,

1. Chengdu University of Science and Technology, Chengdu;
2. Southwestern Jiaotong University, Chengdu

Received Date: 1988-07-09

Fund Project: Supported by the National Natural Science Foundation of China.

Abstract: The variational-cumulant expansion method is generalized to the case of the lattice SU(3) Wilson model. The plaquette energy as an order parameter is calculated to the 2nd order expansion. The result shows that the 1st order phase transition is not observed in the four-dimension case, which agrees with the result from the Monte Carlo calculation, but is clearly seen in the five-dimension case. This method can be used to study the problems in the lattice gauge theory with the SU(3) gauge group.