<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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[8]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(S3): 265-272.
[9]	Hu Zhanning . Three-Dimensional Exactly Solvable Model with Cubic Lattice. Chinese Physics C, 1994, 18(S3): 291-300.
[10]	Wang Yanshen , Hou Boyu . Poisson-Lie Structure of 0(n) Non-Linear Sigma Model in Moving Frames. Chinese Physics C, 1994, 18(S4): 345-355.
[11]	Liu Jinming , Gong Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(S1): 45-52.
[12]	Zheng Bo . A (l+l)-Dimensional Lattice U(l) Gauge Model and the Fermion Species Doubling. Chinese Physics C, 1990, 14(S3): 249-254.
[13]	Zheng Bo , Guo Shuohong . Exact Solution for a 1 + 1 Dimensional Lattice U (1) Gauge Model. Chinese Physics C, 1990, 14(S2): 163-167.
[14]	CHEN Tian-Lun , SUO Cun-Chuan , HUANG Wu-Qun . β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1990, 14(8): 700-703.
[15]	Luo Xiangqian , Chen Qizhou , Guo Shuohong . Vacuum State of 2+1 Dimensional SU(2) Lattice Gauge Theory With Fermions and Spontaneous Chiral Symmetry Breaking. Chinese Physics C, 1989, 13(S2): 157-164.
[16]	CHEN Tian-Lun , HUANG Wu-Qun , JIN Ke , SUO Cun-Chuan . β FUNCTION FOR SU(2)×SU(2) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1989, 13(2): 188-192.
[17]	Chen Tianlun , Huang Wuqun , Jin Ke , Suo Cunchuan . β Function tor SU(2)×SU(2) Chiral Model on 2-Dimensional Random Triangle Lattice. Chinese Physics C, 1989, 13(S1): 43-48.
[18]	Zheng Weihong , Liu Jinming , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(2) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S1): 51-54.
[19]	Liu Jinming , Zheng Weihong , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S2): 137-142.
[20]	LI Wen-Zhu , YING He-Ping , DONG Shao-Jing . MONTE CARLO SIMULATION OF SU(2)×SU(2) SPIN SYSTEM ON 2-DIMENSIONAL RANDOM LATTICE. Chinese Physics C, 1987, 11(2): 186-191.

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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.