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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[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.
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[8]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[9]	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.
[10]	Hui Ping . Fifth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1998, 22(4): 322-325.
[11]	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.
[12]	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.
[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 Zhibing , Li Lei , Guo Shuohong . Infrared Vacuum Wavefunction of (2+1)-Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(1): 37-42.
[15]	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.
[16]	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.
[17]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE STRING TENSION OF 2+1 DIMENSIONAL SU(2) GAUGE THEORIES. Chinese Physics C, 1989, 13(7): 670-672.
[18]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[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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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.