Approximated Calculation of the Glueball Mass in the 2+1-D SU(2) LGT with the RPA Method

HUI Ping; ZHENG Tai-Yu; WANG Zhou-Fei

Chinese Physics C> 2004, Vol. 28> Issue(6) : 580-583

Approximated Calculation of the Glueball Mass in the 2+1-D SU(2) LGT with the RPA Method

Department of Physics,Guangdong Institute of Education,Guangzhou 510303,China2 Institute of Theoretical Physics,Northeast Normal University,Changchun 130024,China

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Abstract：
The coupled cluster method is improved with the random phase approximation (RPA) to calculate the glueball mass in the 2+1-D SU(2) lattice gauge theory. In this calculating, the trial wave function consists of single-hollow graphs, the Feymann-Hellman theorem is used to obtain a set of closed equations. When the calculation proceeds up to the sixth order, the calculated results of glueball mass show scaling window and a sign of converges at weak coupling region 1/g 2>1 0. The results of this paper indicate that the seventh order glueball mass will show good scaling behavior and the converges.

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]	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]	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.
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[5]	HUI Ping , CHEN QiZhou . 0⁺⁺ Glueball Mass in 2+1-D SU(3) LGT. Chinese Physics C, 2000, 24(9): 805-809.
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HUI Ping, ZHENG Tai-Yu and WANG Zhou-Fei. Approximated Calculation of the Glueball Mass in the 2+1-D SU(2) LGT with the RPA Method[J]. Chinese Physics C, 2004, 28(6): 580-583.

HUI Ping, ZHENG Tai-Yu and WANG Zhou-Fei. Approximated Calculation of the Glueball Mass in the 2+1-D SU(2) LGT with the RPA Method[J]. Chinese Physics C, 2004, 28(6): 580-583. shu

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Received: 2003-10-16
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

Approximated Calculation of the Glueball Mass in the 2+1-D SU(2) LGT with the RPA Method

Corresponding author: HUI Ping,

Department of Physics,Guangdong Institute of Education,Guangzhou 510303,China2 Institute of Theoretical Physics,Northeast Normal University,Changchun 130024,China

Received Date: 2003-10-16
Accepted Date: 1900-01-01
Available Online: 2004-06-05

Abstract: The coupled cluster method is improved with the random phase approximation (RPA) to calculate the glueball mass in the 2+1-D SU(2) lattice gauge theory. In this calculating, the trial wave function consists of single-hollow graphs, the Feymann-Hellman theorem is used to obtain a set of closed equations. When the calculation proceeds up to the sixth order, the calculated results of glueball mass show scaling window and a sign of converges at weak coupling region 1/g 2>1 0. The results of this paper indicate that the seventh order glueball mass will show good scaling behavior and the converges.