Calculation of the Glueball Mass for 2+1 Dimensional SU(2) Lattice Gauge Field Theory by Using the Improved Hamiltonian

LI JieMing; JIANG JunQin

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2000, Vol. 24> Issue(12) : 1094-1097

Calculation of the Glueball Mass for 2+1 Dimensional SU(2) Lattice Gauge Field Theory by Using the Improved Hamiltonian

LI JieMing ^, ,
JIANG JunQin

Department of Physics, Zhongshan University, Guangzhou 510275, China2 Department of Physics, Guangdong Institute of Education, Guangzhou 510303, China3 CCAST-World Laboratory, Beijing 100080, China

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Abstract：
Using the improved lattice Hamiltonian and the truncated eigenvalue equation method,we compute the glueball mass of (2+1) dimensional SU(2) gauge field theory. The numerical result displays a very good scaling behavior in the wide coupling region (1.0≤ 1/g²≤8.0).

References

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JIANG JunQin, LUO XiangQian et al. Phys. Rev., 1999,D60:014501 2 JIANG JunQin,LUO XiangQian, GUO ShuoHong et al. High Energy Phys. and Nucl. Phys. (in Chinese), 1999, 23(12): 1152(江俊勤,罗向前,郭硕鸿等.高能物理与核物理,1999,23(12):1152) 3 JIANG JunQin. High Energy Phys. and Nucl. Phys. (in Chinese),2000,24(10):922(江俊勤.高能物理与核物理,2000,24(10):922) 4 CHEN QiZhou,GUO ShuoHong,ZHENG WeiHong et al. Phys. Rev., 1994,D50: 35645 CHEN QiZhou, CAI PengFei, FANG XiYan et al. Commun. Thero. Phys., 1997, 27: 337 6 Teper M. Phys. Lett., 1992, B289: 115; Nucl. Phys., 1993, B(P. S. ): 529

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[2]	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.
[3]	HUI Ping . Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA. Chinese Physics C, 2004, 28(11): 1146-1149.
[4]	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.
[5]	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.
[6]	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.
[7]	HUI Ping , CHEN QiZhou . 0⁺⁺ Glueball Mass in 2+1-D SU(3) LGT. Chinese Physics C, 2000, 24(9): 805-809.
[8]	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.
[9]	HUI Ping . Sixth Order Approximation of the Glueball Wave Function in 2+1-DSU(2)LGT. Chinese Physics C, 2000, 24(7): 636-641.
[10]	Hul Ping . (2+1)-D SU(3)0⁺⁺ Glueball Wavefunction. Chinese Physics C, 1999, 23(4): 340-346.
[11]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[12]	Jiang Junqin , Luo Xiangqian . Calculation of the Vector Meson Mass in 1+1 Dimensional Lattice QCD by Using the Improved Hamiltonian. Chinese Physics C, 1999, 23(7): 644-649.
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LI JieMing and JIANG JunQin. Calculation of the Glueball Mass for 2+1 Dimensional SU(2) Lattice Gauge Field Theory by Using the Improved Hamiltonian[J]. Chinese Physics C, 2000, 24(12): 1094-1097.

LI JieMing and JIANG JunQin. Calculation of the Glueball Mass for 2+1 Dimensional SU(2) Lattice Gauge Field Theory by Using the Improved Hamiltonian[J]. Chinese Physics C, 2000, 24(12): 1094-1097. shu

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Received: 2000-01-10
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Calculation of the Glueball Mass for 2+1 Dimensional SU(2) Lattice Gauge Field Theory by Using the Improved Hamiltonian

LI JieMing ^,
JIANG JunQin

Corresponding author: LI JieMing,

Department of Physics, Zhongshan University, Guangzhou 510275, China2 Department of Physics, Guangdong Institute of Education, Guangzhou 510303, China3 CCAST-World Laboratory, Beijing 100080, China

Received Date: 2000-01-10
Accepted Date: 1900-01-01
Available Online: 2000-12-05

Abstract: Using the improved lattice Hamiltonian and the truncated eigenvalue equation method,we compute the glueball mass of (2+1) dimensional SU(2) gauge field theory. The numerical result displays a very good scaling behavior in the wide coupling region (1.0≤ 1/g²≤8.0).