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

Liu Jinming; Zheng Weihong; Guo Shuohong

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.

[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.
[2]	LI JieMing , JIANG JunQin . Calculation of the Glueball Mass for 2+1 Dimensional SU(2) Lattice Gauge Field Theory by Using the Improved Hamiltonian. Chinese Physics C, 2000, 24(12): 1094-1097.
[3]	JIANG JunQin . Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory. Chinese Physics C, 2000, 24(10): 922-926.
[4]	Wu Jimin . Discussion on the Simulation Results About the Mass of Glueballs on Lattice Gauge Theory. Chinese Physics C, 1996, 20(S4): 333-338.
[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.
[6]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(5): 398-404.
[7]	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.
[8]	LIU Jin-Ming , GONG Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(2): 128-133.
[9]	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.
[10]	Zheng Bo , Guo Shuohong . Exact Solution for a 1 + 1 Dimensional Lattice U (1) Gauge Model. Chinese Physics C, 1990, 14(S2): 163-167.
[11]	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.
[12]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT. Chinese Physics C, 1989, 13(1): 83-86.
[13]	Zheng Weihong , Guo Shuohong . Variational Calculation of the Glueball Mass in 2+1 Dimensional SU(2) LGT. Chinese Physics C, 1989, 13(S1): 33-36.
[14]	Zheng Xite , Xu Yong . Analytic Study of SU(3) Lattice Gauge Theory. Chinese Physics C, 1989, 13(S3): 249-252.
[15]	Li Zhibing , Zheng Weihong , Guo Shuohong . The String Tensions of (2+1)-dimensional SU(2) Gauge Theory. Chinese Physics C, 1989, 13(S3): 245-248.
[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.
[18]	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.
[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.