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

JIANG JunQin

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2000, Vol. 24> Issue(10) : 922-926

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

JIANG JunQin ^,

Department of Physics,Guangdong Institute of Education,Guangzhou 510303,ChinaCCAST World Laboratory,Beijing 100080,China

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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.

References

[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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沈阳化工大学材料科学与工程学院沈阳 110142

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

JIANG JunQin ^,

Corresponding author: JIANG JunQin,

Department of Physics,Guangdong Institute of Education,Guangzhou 510303,ChinaCCAST World Laboratory,Beijing 100080,China

Received Date: 1999-09-20
Accepted Date: 1900-01-01
Available Online: 2000-10-05

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.