The Mass Gap in 2 + 1 Dimensional SU(2) Lattice Gauge Theory

Zheng Weihong; Liu Jinming; Guo Shuohong

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1988, Vol. 12> Issue(S1) : 51-54

The Mass Gap in 2 + 1 Dimensional SU(2) Lattice Gauge Theory

Zhongshan University, Guangzhou

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Abstract：
A glueball mass in 2 + 1 dimensional SU(2) lattice gauge theory is calculated by applying variation in the Hamiltonian with exact ground state. In the range 0 ≤ 1/g² ≤ 7, a good scaling behaviour am = 2.28g² is obtained, which is in agreement with weak-coupling expansion result.

[1]	LIU Jin-Ming , LI Jie-Ming , GUO Shuo-Hong . Glueball Mass in Improved SU(3) Lattice Hamiltonian in 2+1 Dimensional. Chinese Physics C, 2001, 25(5): 383-387.
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[4]	Jiang Junqin , Luo Xiangqian . Study of the Vacuum State in (2+1)-Dimensional U(1) Lattice Gauge Theory. Chinese Physics C, 1999, 23(8): 774-783.
[5]	Hui Ping , Cai Pengfei , Chen Qizhou . Analytic calculation of Glueball Mass In (2+1)-D SU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
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[12]	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.
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[18]	LIU Jin-Ming , ZHENG Wei-Hong , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.
[19]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[20]	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.

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Zheng Weihong, Liu Jinming and Guo Shuohong. The Mass Gap in 2 + 1 Dimensional SU(2) Lattice Gauge Theory[J]. Chinese Physics C, 1988, 12(S1): 51-54.

Zheng Weihong, Liu Jinming and Guo Shuohong. The Mass Gap in 2 + 1 Dimensional SU(2) Lattice Gauge Theory[J]. Chinese Physics C, 1988, 12(S1): 51-54. shu

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Received: 1987-04-08

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This work is supported by the Science Foundation of the State Commission of Education and the Foundation of Zhongshan University Advanced Research Center.

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沈阳化工大学材料科学与工程学院沈阳 110142

The Mass Gap in 2 + 1 Dimensional SU(2) Lattice Gauge Theory

Zhongshan University, Guangzhou

Received Date: 1987-04-08

Fund Project: This work is supported by the Science Foundation of the State Commission of Education and the Foundation of Zhongshan University Advanced Research Center.

Abstract: A glueball mass in 2 + 1 dimensional SU(2) lattice gauge theory is calculated by applying variation in the Hamiltonian with exact ground state. In the range 0 ≤ 1/g² ≤ 7, a good scaling behaviour am = 2.28g² is obtained, which is in agreement with weak-coupling expansion result.