Study of Higher Order Cumulant Expansion of <i>U</i>(l) Lattice Gauge Model at Finite Temperature

Zheng Xite; Lei Chunhong; Li Yuliang; Chen Hong

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(S3) : 271-276

Study of Higher Order Cumulant Expansion of U(l) Lattice Gauge Model at Finite Temperature

1 Physics Department Chengdu University of Science and Technology, Chengdu, Sichuan, China;
2 Physics Department, Fuzhou Teachers'College, Fuzhou, Fujian, China;
3 Physics Department, Chongqing Institute of Education, Chongqing, Sichuan. China

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Abstract：
The order parameter, Polyakov line <L>, of the U/(l) gauge model on N_σ³×N_τ(N_τ=l) lattice by using the cumulant expansion is calculated to the 5-th order. Emphasis is placed on the behavior of the cumulant expansion in the intermediate coupling region. The necessity of higher order expansion is clarified from the connection between the cumulant expansion and the correlation length. The variational parameter in the n-th order calculation is determined by the requirement that corrections of the n-th order expansion to the zeroth order expansion should vanish. The agreement with the Monte Carlo simulation is obtained not only in the weak and strong coupling regions, but also in the intermediate coupling region expect in the very vicinity of the phase transition point.

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Zheng Xite, Lei Chunhong, Li Yuliang and Chen Hong. Study of Higher Order Cumulant Expansion of U(l) Lattice Gauge Model at Finite Temperature[J]. Chinese Physics C, 1993, 17(S3): 271-276.

Zheng Xite, Lei Chunhong, Li Yuliang and Chen Hong. Study of Higher Order Cumulant Expansion of U(l) Lattice Gauge Model at Finite Temperature[J]. Chinese Physics C, 1993, 17(S3): 271-276. shu

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Received: 1992-07-06

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沈阳化工大学材料科学与工程学院沈阳 110142

Study of Higher Order Cumulant Expansion of U(l) Lattice Gauge Model at Finite Temperature

1 Physics Department Chengdu University of Science and Technology, Chengdu, Sichuan, China;
2 Physics Department, Fuzhou Teachers'College, Fuzhou, Fujian, China;
3 Physics Department, Chongqing Institute of Education, Chongqing, Sichuan. China

Received Date: 1992-07-06

Abstract: The order parameter, Polyakov line <L>, of the U/(l) gauge model on N_σ³×N_τ(N_τ=l) lattice by using the cumulant expansion is calculated to the 5-th order. Emphasis is placed on the behavior of the cumulant expansion in the intermediate coupling region. The necessity of higher order expansion is clarified from the connection between the cumulant expansion and the correlation length. The variational parameter in the n-th order calculation is determined by the requirement that corrections of the n-th order expansion to the zeroth order expansion should vanish. The agreement with the Monte Carlo simulation is obtained not only in the weak and strong coupling regions, but also in the intermediate coupling region expect in the very vicinity of the phase transition point.