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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. Greensite J P. Nucl. Phys. , 1980, B166: 113 .. 1242. Llewellyn Smith C H, Watson N J. Phys. Lett er. , 1993, B302: 463-4713. GUO S H, CHEN Q Z, LI L. Phys . Rev. , 1994, D49( 1) : 507- 5104. CHEN Q Z, GUO S H, ZHENG W H et al . Phys. Rev. , 1994, D50( 5) : 3564 - 35655. HUI P, CHEN Q Z. High Energy Phys. and Nucl. Phys. , 1995, 19( 9) : 820 - 825 (in Chinese)(惠萍,陈启洲.高能物理与核物理,1995,19(9):820—825) 6. HUI P. High Energy Phys. and Nucl. Phys. 1998, 22( 4) : 322-325(in Chinese)(惠萍.高能物理与核物理,1998,22(4):322—325)7. HUI P. High Energy Phys. and Nucl. Phys. , 1999, 23( 12) : 1171 -1176 (in Chinese)(惠萍.高能物理与核物理,1999,23(12):1171—1176) 8. HUI P, FANG X Y, CHEN Q Z. Phys. Rev. , 2000, D62: 034505-1- 59. FANG X Y et al . Phys. Rev. , 2002, D65: 114505- 1- 310. HUI P. High Energy Phys. and Nucl. Phys. , 2004, 28( 5) : 487 - 490(in Chinese)(惠萍.高能物理与核物理,2004,28(5):487—490) 11. HUI P, High Energy Phys. and Nucl. Phys. , 2000, 24(7) : 636 - 641(in Chinese)(惠萍.高能物理与核物理,2000,24(7):636—641) 12. CHEN Q Z, LUO X Q, GUO S H et al. Phys. Lett. , 1995, B348:560- 564

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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.