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/ g ²≤ 7, a good scaling behavior am=2.28 g ²is 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 ImprovedSU(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]	Hin Ping. Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[9]	Hui Ping,Cai Pengfei,Chen Qizhou. Analytic calculation of Glueball Mass In (2+1)-DSU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[10]	SHEN Kun,QIU Zhong-Ping. Ward-Takahashi Identities and Mass Spectra in (2+1) DimensionalSU(2) Four-fermi Model. Chinese Physics C, 1993, 17(1): 17-27.
[11]	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.
[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]	LI Zhi-Bing,ZHENG Wei-Hong,GUO Shuo-Hong. THE STRING TENSION OF 2+1 DIMENSIONAL SU(2) GAUGE THEORIES. Chinese Physics C, 1989, 13(7): 670-672.
[14]	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.
[15]	Li Zhibing,Zheng Weihong,Guo Shuohong. The String Tensions of (2+1)-dimensionalSU(2) Gauge Theory. Chinese Physics C, 1989, 13(S3): 245-248.
[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]	ZHENG Wei-Hong,LIU Jin-Ming,GUO Shuo-Hong. THE MASS GAP IN 2+1 DIMENSIONALSU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[19]	Liu Jinming,Zheng Weihong,Guo Shuohong. The Mass Gap in 2 + 1 DimensionalSU(3) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S2): 137-142.
[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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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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1.
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 dimensionalSU(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 behavioram=2.28g²is 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.