Calculation of the Vacuum Wave Function in 2+1 Dimensional U(1) Gauge Theory by Using the Improved Lattice Hamiltonian

Jiang Junqin; Luo Xiangqian; Guo Shuohong; Liu Jinming

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1999, Vol. 23> Issue(12) : 1152-1157

Calculation of the Vacuum Wave Function in 2+1 Dimensional U(1) Gauge Theory by Using the Improved Lattice Hamiltonian

Deparment of Physics, Guangdong insitut of for Education,Guangzhou 5103032 Department of Physics, Zhongshan University, Guangzhou 510275

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Abstract：
The truncated eigenvalue equation is derived from the improved U(1) lattice gauge field Hamiltonian.The vacuum wave function in 2+1 dimensional U(1) model is computed. The numerical results conform our expectation that the scaling behavior of the vacuum wave function can be greasy improved by improving the lattice Hamiltonian.

References

[1]

Luo Xiangqian et al. Mod. Phys. Lett, 1996, A11:2435; Nucl. Phys., 1997, B(Proc.Suppl.)53:2432 Chen Qizhou et al. High Energy Phys. and Nucl. Phys. (in Chinese), 1994, 18(5):418; 1995, 19(5):398(陈启洲等.高能物理与核物理,1994, 18(5): 418; 1995, 19(5): 398) 3 Liu Jinming, Luo chang, Fang Xiyan et al. Nucl. Phys., 1998, B(Proc. Suppl.)63A–C:257; Guo Shuohong et al. Phys. Rev., 1994, D49:507; Arisue H. Phys. Lett, 1992, B280:85; Greenstite J. Nucl.Phys., 198B166:1134 Chen Qizhou et al. Commun. Theor. Phys., 1997, 27:337 5 Fang Xiyan,Liu Jinming,Guo Shuohong. Phys. Rev., 1996, D53: 15326 Jiang Junqin, Luo Xiangqian. High Energy Phys. and Nucl. Phys. (in Chnese), 1999, 23(8):774(江俊勤,罗向前.高能物理与核物理,1999,23(8):774)7 Luo Xiangqian et al. Phys. Rev., 1994, D50:501 8 Luo Xiapqiap Guo Shuohong et al. Phys. Rev., 1999, D59:034503 9 Jiang Junqin. High Energy Phys. and Nucl. Phys. (in Chnese), 1998, 22(10):891(江俊勤.高能物理与核物理,1998,22(10):891) 10 Jiang Junqin. High Energy Phys. and Nucl. Phys. (in Chinese), 1999, 23(4):347(江俊勤.高能物理与核物理,1999,23(4):347)11 Jiang Junqin, Luo Xiangqian. High Energy Phys. and Nucl. Phys. (in Chinese), 1999, 23(7):644(江俊勤,罗向前.高能物理与核物理,1999,23(7):644)

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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 , 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]	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]	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]	JIANG JunQin , LI JieMing . Improved Scheme of the Lattice Hamiltonian in 1+1 Dimensional QCD. Chinese Physics C, 2000, 24(3): 208-212.
[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 . Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory. Chinese Physics C, 2000, 24(10): 922-926.
[10]	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.
[11]	Jiang Junqin , Luo Xiangqian . Study of the Vacuum State in (2+1)-Dimensional U(1) Lattice Gauge Theory. Chinese Physics C, 1999, 23(8): 774-783.
[12]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[13]	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.
[14]	Hui Ping . Fifth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1998, 22(4): 322-325.
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[16]	Hui Ping , Chen Qizhou . Fourth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1995, 19(9): 820-825.
[17]	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.
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[19]	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.
[20]	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.

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Jiang Junqin, Luo Xiangqian, Guo Shuohong and Liu Jinming. Calculation of the Vacuum Wave Function in 2+1 Dimensional U(1) Gauge Theory by Using the Improved Lattice Hamiltonian[J]. Chinese Physics C, 1999, 23(12): 1152-1157.

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Received: 1998-09-28
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 Vacuum Wave Function in 2+1 Dimensional U(1) Gauge Theory by Using the Improved Lattice Hamiltonian

Corresponding author: Jiang Junqin,

Deparment of Physics, Guangdong insitut of for Education,Guangzhou 5103032 Department of Physics, Zhongshan University, Guangzhou 510275

Received Date: 1998-09-28
Accepted Date: 1900-01-01
Available Online: 1999-12-05

Abstract: The truncated eigenvalue equation is derived from the improved U(1) lattice gauge field Hamiltonian.The vacuum wave function in 2+1 dimensional U(1) model is computed. The numerical results conform our expectation that the scaling behavior of the vacuum wave function can be greasy improved by improving the lattice Hamiltonian.