Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory

  • The vacuum state of (2+1) dimensional SU(2) lattice gauge field theory is investigated. The general expressions of the parameters (μ0 and μ2) of the continuum vacuum wave function are derived.The numerical results which come from the improved Hamiltonian and the truncated eigenvalue equation method display a good scaling behavior in the deep weak coupling region.
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  • [1] Greensite J P. Nucl. Phys.,1980,B166:1132 GUO ShuoHong, CHEN QiZhou et al. Phys. Rev. ,1994 , D49 : 5073 CHEN QiZhou, CGUO ShuoHong. ZHENG WeiHong et al. Phys. Rev. ,1994, D50: 35644 CHEN QiZhuu et al. High Energy Phys. and Nucl. Phys. ( in Chinese),1994,18(5):417(陈启洲等.高能物理与核物理,1994,18(5):417)5 CHEN QiZhou, FANG XiYan,GUO ShuoHong. High Energy Phys. and Nucl. Phys. (in Chinese),1995,19(5):398(陈启洲,方锡岩,郭硕鸿.高能物理与核物理,1995,19(5):398)6 JIANG JunQin, LUO XiangQian. High Energy Phys. and Nucl. Phys. (in Chinese),1999,23(8):774(江俊勤,罗向前,高能物理与核物理,1999,23(8):774)7 JIANG JunQin.LUO XiangQian,GUO ShuoHong et al. High Energy Phys. and Nucl. Phys(in Chineoe),1999,23:1152(江俊勤,罗向前,郭硕鸿等.高能物理与核物理,1999,23:115218 LUO XiangQian,CHEN QiZhou, XU GuoCai et al. Phys. Rev.,1994,D50:5019 JIANG JunQin, LUO XiangQian et al. Phys. Rev.,1999,D60:01450110 JIANG XiangQian,GUO ShuoHong,Krger H et al. Phys. Rev. ,1999,D59:034503
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JIANG JunQin. Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory[J]. Chinese Physics C, 2000, 24(10): 922-926.
JIANG JunQin. Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory[J]. Chinese Physics C, 2000, 24(10): 922-926. shu
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Received: 1999-09-20
Revised: 1900-01-01
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Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory

    Corresponding author: JIANG JunQin,
  • Department of Physics,Guangdong Institute of Education,Guangzhou 510303,ChinaCCAST World Laboratory,Beijing 100080,China

Abstract: The vacuum state of (2+1) dimensional SU(2) lattice gauge field theory is investigated. The general expressions of the parameters (μ0 and μ2) of the continuum vacuum wave function are derived.The numerical results which come from the improved Hamiltonian and the truncated eigenvalue equation method display a good scaling behavior in the deep weak coupling region.

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