Variational Calculation of the Glueball Mass in 2+1 Dimensional SU(2) LGT

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> 1989, Vol. 13> Issue(S1) : 33-36

Variational Calculation of the Glueball Mass in 2+1 Dimensional SU(2) LGT

Department of Physics, Zhongshan University, Guangzhou

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Abstract：
A variational calculation is made on the glueball mass in 2 + 1 dimensional SU(2) lattice gauge theory by using a Hamiltonian which possesses exact ground state and correct continuum limit In the range of 1.3 ≤ 1/g² ≤ 7, a good scaling behavior am=2.28 g² is obtained, which is in agreement with the weak-coupling perturbation theory and the results obtained by another Hamiltonian which does not possess correct continuum limit.

[1]	HUI Ping . Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT. Chinese Physics C, 2005, 29(4): 345-349.
[2]	HUI Ping . Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA. Chinese Physics C, 2004, 28(11): 1146-1149.
[3]	HUI Ping , ZHENG Tai-Yu , WANG Zhou-Fei . Approximated Calculation of the Glueball Mass in the 2+1-D SU(2) LGT with the RPA Method. Chinese Physics C, 2004, 28(6): 580-583.
[4]	JIANG Jun-Qin , LI Jie-Ming . Calculation of the 0⁺⁺ Glueball Mass for 2+1 Dimensional QCD by Using the Improved Lattice Hamiltonian. Chinese Physics C, 2001, 25(10): 941-944.
[5]	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.
[6]	HUI Ping , CHEN QiZhou . 0⁺⁺ Glueball Mass in 2+1-D SU(3) LGT. Chinese Physics C, 2000, 24(9): 805-809.
[7]	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.
[8]	Hul Ping . (2+1)-D SU(3)0⁺⁺ Glueball Wavefunction. Chinese Physics C, 1999, 23(4): 340-346.
[9]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[10]	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.
[11]	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.
[12]	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.
[13]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[14]	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.
[15]	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.
[16]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL U(1) LGT. Chinese Physics C, 1989, 13(2): 184-187.
[17]	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.
[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 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.
[20]	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.

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Zheng Weihong and Guo Shuohong. Variational Calculation of the Glueball Mass in 2+1 Dimensional SU(2) LGT[J]. Chinese Physics C, 1989, 13(S1): 33-36.

Zheng Weihong and Guo Shuohong. Variational Calculation of the Glueball Mass in 2+1 Dimensional SU(2) LGT[J]. Chinese Physics C, 1989, 13(S1): 33-36. shu

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Received: 1988-05-16

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Supported in part by the Foundation of Zhongshan University Advance Research Center and by the Science Fund of the Chinese Education Committee.

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沈阳化工大学材料科学与工程学院沈阳 110142

Variational Calculation of the Glueball Mass in 2+1 Dimensional SU(2) LGT

Zheng Weihong
Guo Shuohong

Department of Physics, Zhongshan University, Guangzhou

Received Date: 1988-05-16

Fund Project: Supported in part by the Foundation of Zhongshan University Advance Research Center and by the Science Fund of the Chinese Education Committee.

Abstract: A variational calculation is made on the glueball mass in 2 + 1 dimensional SU(2) lattice gauge theory by using a Hamiltonian which possesses exact ground state and correct continuum limit In the range of 1.3 ≤ 1/g² ≤ 7, a good scaling behavior am=2.28 g² is obtained, which is in agreement with the weak-coupling perturbation theory and the results obtained by another Hamiltonian which does not possess correct continuum limit.