Analytic Study of SU(3) Lattice Gauge Theory

  • 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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Analytic Study of SU(3) Lattice Gauge Theory

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

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