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

  • 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.
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  • [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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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.
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. shu
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Received: 1998-09-28
Revised: 1900-01-01
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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

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.

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