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

Zheng Xite; Xu Yong

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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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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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.