The Mass Gap in 2 + 1 Dimensional <i>SU</i>(3) Lattice Gauge Theory

Liu Jinming; Zheng Weihong; 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(S2) : 137-142

The Mass Gap in 2 + 1 Dimensional SU(3) Lattice Gauge Theory

Zhongshan University, Guangzhou

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Abstract：
We present a variational calculation of C = +1 and C = -1 glueball masses in 2 + 1 dimensional SU(3) lattice gauge theory using the Hamiltonian of which the ground state is exactly known. In the range 0 < 1/g² < 6, we obtained good scaling behavior of am₊ = 3.61 g² and am_- = 5.98g2.

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[16]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(4): 316-319.
[17]	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.
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[19]	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.
[20]	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.

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Liu Jinming, Zheng Weihong and Guo Shuohong. The Mass Gap in 2 + 1 Dimensional SU(3) Lattice Gauge Theory[J]. Chinese Physics C, 1988, 12(S2): 137-142.

Liu Jinming, Zheng Weihong and Guo Shuohong. The Mass Gap in 2 + 1 Dimensional SU(3) Lattice Gauge Theory[J]. Chinese Physics C, 1988, 12(S2): 137-142. shu

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Received: 1987-07-11

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This work is supported in part by the Science Fund of the Chinese Education Committee and by the Foundation of zhongshan University Advance 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(3) Lattice Gauge Theory

Zhongshan University, Guangzhou

Received Date: 1987-07-11

Fund Project: This work is supported in part by the Science Fund of the Chinese Education Committee and by the Foundation of zhongshan University Advance research Center

Abstract: We present a variational calculation of C = +1 and C = -1 glueball masses in 2 + 1 dimensional SU(3) lattice gauge theory using the Hamiltonian of which the ground state is exactly known. In the range 0 < 1/g² < 6, we obtained good scaling behavior of am₊ = 3.61 g² and am_- = 5.98g2.