Analytical Calculation for the Fixed Length Lattice <i>SU</i>/(2)-Higgs Model

Zheng Xite; Chen Hong; Lu Zhao; He Yuan

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1995, Vol. 19> Issue(S1) : 69-75

Analytical Calculation for the Fixed Length Lattice SU/(2)-Higgs Model

Department of Physics, Chengdu University of Science and Technology, Chengdu, Sichuan, China

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Abstract：
The phase diagram of the lattice system of the SU(2) gauge field coupled with the fixed length Higgs field in the fundamental representation has been calculated analytically to the fourth order of the cumulant expansion. The variational parameters have been determined by scanning method. The obtained phase diagram is in fine agreement with the Monte Carlo result. The calculation also has been made for the Polyakov line <L> of the SU(2) Higgs and the pure SU(2) models at finite temperature (N_τ=1). The best (up to now) approximate analytical result β_c for the pure SU(2) model is obtained.
- SU/(2)-Higgs ,
- cumulant expansion ,
- lattice ,
- phase diagram ,
- fixed length

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Zheng Xite, Chen Hong, Lu Zhao and He Yuan. Analytical Calculation for the Fixed Length Lattice SU/(2)-Higgs Model[J]. Chinese Physics C, 1995, 19(S1): 69-75.

Zheng Xite, Chen Hong, Lu Zhao and He Yuan. Analytical Calculation for the Fixed Length Lattice SU/(2)-Higgs Model[J]. Chinese Physics C, 1995, 19(S1): 69-75. shu

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Received: 1993-11-20

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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

Analytical Calculation for the Fixed Length Lattice SU/(2)-Higgs Model

Department of Physics, Chengdu University of Science and Technology, Chengdu, Sichuan, China

Received Date: 1993-11-20

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

Abstract: The phase diagram of the lattice system of the SU(2) gauge field coupled with the fixed length Higgs field in the fundamental representation has been calculated analytically to the fourth order of the cumulant expansion. The variational parameters have been determined by scanning method. The obtained phase diagram is in fine agreement with the Monte Carlo result. The calculation also has been made for the Polyakov line <L> of the SU(2) Higgs and the pure SU(2) models at finite temperature (N_τ=1). The best (up to now) approximate analytical result β_c for the pure SU(2) model is obtained.