<i>β</i> Function for the <i>0</i>(3) Sigma Model on 2-Dimensional Random Triangle Lattice

Chen Tianlun

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(S4) : 393-398

β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice

Chen Tianlun

Nankai University, Tianjing

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Abstract：
The β function behavior for the O(3)σ amodel on the 2-dimensional random triangle lattice has been studied with the improved Monte Carlo renormalization group method. It agrees with the one calculated in the weak coupling region under two-loop approximation. However, when g ≥ 0.8, it drops down faster due to the higher-order perturbative and nonperturbative contributions.

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Chen Tianlun. β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice[J]. Chinese Physics C, 1989, 13(S4): 393-398.

Chen Tianlun. β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice[J]. Chinese Physics C, 1989, 13(S4): 393-398. shu

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Received: 1989-04-01

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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

β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice

Chen Tianlun

Nankai University, Tianjing

Received Date: 1989-04-01

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

Abstract: The β function behavior for the O(3)σ amodel on the 2-dimensional random triangle lattice has been studied with the improved Monte Carlo renormalization group method. It agrees with the one calculated in the weak coupling region under two-loop approximation. However, when g ≥ 0.8, it drops down faster due to the higher-order perturbative and nonperturbative contributions.