Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT

HUI Ping

Chinese Physics C> 2005, Vol. 29> Issue(4) : 345-349

Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT

HUI Ping ^,

Department of physics,Guangdong institute of Education,Guangzhou 510303,China

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Abstract：
By Solving Shrodinger equation with the RPA coupled cluster method, The higher order glueball wave function in 2+1-D SU(2) lattice gauge theory is calculated. In the calculation, hollow Wilson graphs are selected as the trial wave function, and special Wilson graphs are treated approximately. The sixth and the seventh order results for the coefficients μ0F andμ2F and the relevant parameterζ of the glueball wave function show good scaling behaviors at weak coupling region(β=4.8--9.6 ). The seventh order vacuum energy curve is in agreement with the sixth order ones for in the coupling region of β=0.8-8.8 .

References

[1]

. Greensite J P. Nucl. Phys. , 1980, B166: 113 -1242. Llewellyn Smith C H, Watson N. J. Phys. Lett . , 1993, B302: 463-4713. GUO X 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. CHEN Q Z, CAI P F,FANG X Y et al. Commun. Theor. Phys. , 1995,27: 337 -3426. 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):821-825)7. 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)8. HUI P, FANG X Y, Chen Q Z. Phys. Rev. , 2000, D62: 034505-1-59. FANG X Y, HUI P et al. Phys. Rev. , 2002, D65: 114505- 1- 310. HUI P. High Energy Phys. and Nucl. Phys. , 2004, 28( 5) : 487-489(in Chinese)(惠萍.高能物理与核物理，2004,28(5):487-489)11. HUI P. High Energy Phys. and Nucl. Phys. , 2004, 28( 6) : 580-583(in Chinese)(惠萍.高能物理与核物理，2004,28(6):581-583)

[1]	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.
[2]	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.
[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]	LI Jie-Ming , JIANG Jun-Qin . Calculation of the Vacuum Wave Function for (2+1) Dimensional Lattice QCD. Chinese Physics C, 2001, 25(7): 617-620.
[5]	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.
[6]	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.
[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]	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]	Jiang Junqin , Luo Xiangqian , Guo Shuohong , Liu Jinming . Calculation of the Vacuum Wave Function in 2+1 Dimensional U(1) Gauge Theory by Using the Improved Lattice Hamiltonian. Chinese Physics C, 1999, 23(12): 1152-1157.
[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]	Hui Ping , Cai Pengfei , Chen Qizhou . Analytic calculation of Glueball Mass In (2+1)-D SU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[13]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(5): 398-404.
[14]	Chen Qizhou , Li Lei , Li Zhibing , Guo Shuohong . Vacuum Wave Function Study of 2+1 Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(5): 417-423.
[15]	Chen Qizhou , Li Zhibing , Li Lei , Guo Shuohong . Infrared Vacuum Wavefunction of (2+1)-Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(1): 37-42.
[16]	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.
[17]	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.
[18]	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.
[19]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[20]	LIU Jin-Ming , ZHENG Wei-Hong , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.

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HUI Ping. Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT[J]. Chinese Physics C, 2005, 29(4): 345-349.

HUI Ping. Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT[J]. Chinese Physics C, 2005, 29(4): 345-349. shu

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Received: 2004-07-05
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

Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT

HUI Ping ^,

Corresponding author: HUI Ping,

Department of physics,Guangdong institute of Education,Guangzhou 510303,China

Received Date: 2004-07-05
Accepted Date: 1900-01-01
Available Online: 2005-04-05

Abstract: By Solving Shrodinger equation with the RPA coupled cluster method, The higher order glueball wave function in 2+1-D SU(2) lattice gauge theory is calculated. In the calculation, hollow Wilson graphs are selected as the trial wave function, and special Wilson graphs are treated approximately. The sixth and the seventh order results for the coefficients μ0F andμ2F and the relevant parameterζ of the glueball wave function show good scaling behaviors at weak coupling region(β=4.8--9.6 ). The seventh order vacuum energy curve is in agreement with the sixth order ones for in the coupling region of β=0.8-8.8 .