0<SUP>++</SUP> Glueball Mass in 2+1-D SU(3) LGT

HUI Ping; CHEN QiZhou

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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(9) : 805-809

0⁺⁺ Glueball Mass in 2+1-D SU(3) LGT

HUI Ping ^, ,
CHEN QiZhou

Department of Physics,Guangdong Education College,Guangzhou 510303,China2 Department of Physics,Zhongshan University,Guangzhou 510275,China

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Abstract：
The coupled cluster method is improved to calculate 0⁺⁺glueball mass m/e² in 2+1-D SU(3) lattice gauge theory. In this method, we take the linear combination of connected hollow graphs as trial wavefunction and introduce the average for small wilson loop. The second order and the third order 0⁺⁺ glueball masses (m/e²) as the function of the coupling constant β=6/g² show good scaling behavior and good convergent behavior. The vacuum energy W₀obtained by this method is lower than that by common method.

References

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[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]	JIANG Jun-Qin . Third Order Result of the 0++ Glueball Wave Function for U(1) Improved Lattice Gauge Theory in Three-Dimensions. Chinese Physics C, 2005, 29(5): 447-450.
[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]	HUI Ping . Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA. Chinese Physics C, 2004, 28(11): 1146-1149.
[5]	HU Lian , HUI Ping , CHEN Qi-Zhou . Glueball Masses of the 0⁺⁺ and 0^－－ in 3+1-D SU(3) LGT. Chinese Physics C, 2002, 26(8): 773-778.
[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]	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.
[8]	HUI Ping . Sixth Order Approximation of the Glueball Wave Function in 2+1-DSU(2)LGT. Chinese Physics C, 2000, 24(7): 636-641.
[9]	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.
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HUI Ping and CHEN QiZhou. 0⁺⁺ Glueball Mass in 2+1-D SU(3) LGT[J]. Chinese Physics C, 2000, 24(9): 805-809.

HUI Ping and CHEN QiZhou. 0⁺⁺ Glueball Mass in 2+1-D SU(3) LGT[J]. Chinese Physics C, 2000, 24(9): 805-809. shu

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Received: 1999-06-18
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

0⁺⁺ Glueball Mass in 2+1-D SU(3) LGT

HUI Ping ^,
CHEN QiZhou

Corresponding author: HUI Ping,

Department of Physics,Guangdong Education College,Guangzhou 510303,China2 Department of Physics,Zhongshan University,Guangzhou 510275,China

Received Date: 1999-06-18
Accepted Date: 1900-01-01
Available Online: 2000-09-05

Abstract: The coupled cluster method is improved to calculate 0⁺⁺glueball mass m/e² in 2+1-D SU(3) lattice gauge theory. In this method, we take the linear combination of connected hollow graphs as trial wavefunction and introduce the average for small wilson loop. The second order and the third order 0⁺⁺ glueball masses (m/e²) as the function of the coupling constant β=6/g² show good scaling behavior and good convergent behavior. The vacuum energy W₀obtained by this method is lower than that by common method.