Calculation of the Vector Meson Mass in 1+1 Dimensional Lattice QCD by Using the Improved Hamiltonian

Jiang Junqin; Luo Xiangqian

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2024年10月30日

Chinese Physics C> 1999, Vol. 23> Issue(7) : 644-649

Calculation of the Vector Meson Mass in 1+1 Dimensional Lattice QCD by Using the Improved Hamiltonian

Jiang Junqin ^, ,
Luo Xiangqian

Department of Physics, Guangdong Institute of Education, Guangzhou 5103032 Department of Physics, Zhongshan University, Guangzhou 510275

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Abstract：
The vector meson mass in 1+1 dimensional lattice QCD is calculated by using the variational method. The predictions are proved: The errors which come from the finite lattice spacing can be greatly reduced evidently by improving the lattice Hamiltonian with Wilson quark.

References

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Luo Xiangqian, Chen Qizhou. Mod. Phys. Lett., 1996, A11:2435 2 Hamber K Wu C M. Phys. Lett., 1983, B133:251 3 Luo Xiangqian et al. Phys. Rev., 1994. D50:5014 Luo Xiangqian et al. Nucl. Phys., 1998, B(Proc. Suppl.) 63A–C:931 5 Chen Qizhou, Luo Xiangqian. Phys. Rev., 1990, D42: 12936 Luo Xiangqian, He Baopeng et al. Z. Phys., 1991, C51:423 7 Luo Xiangqian, Chen Qizhou. High Energy Phys. and Nucl. Phys. (in Chinese), 1992, 16:685(罗向前, 陈启洲. 高能物理与核物理,1992,16:685) 8 Jiang Junqin. High Energy Phys. and Nucl. Phys. (in Chinese), 1998, 22:891(江俊勤. 高能物理与核物理, 1998,22:891)

[1]	JIANG Jun-Qin . Third Order Result of the 0++ Glueball Wave Function for U(1) Improved Lattice Gauge Theory in Three-Dimensions. Chinese Physics C, 2005, 29(5): 447-450.
[2]	JIANG Jun-Qin . Mass Gap and Glueball Wave Function for U(1) Improved Lattice Gauge Theory in Three-Dimensions. Chinese Physics C, 2005, 29(2): 115-118.
[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]	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.
[6]	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.
[7]	HUANG ChunQing , JIANG JunQin , LUO XiangQian . Monte Carlo Effective Hamiltonian in 1+1 Dimensional Case'. Chinese Physics C, 2000, 24(6): 478-483.
[8]	JIANG JunQin , LI JieMing . Improved Scheme of the Lattice Hamiltonian in 1+1 Dimensional QCD. Chinese Physics C, 2000, 24(3): 208-212.
[9]	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.
[10]	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.
[11]	Jiang Junqin . Variational Study of<ΨΨ> in 1+1 Dimensional Lattice QCD. Chinese Physics C, 1999, 23(4): 347-351.
[12]	Jiang Junqin , Luo Xiangqian , Guo Shuohong , Liu Jinming . Calculation of the Vacuum Wave Function in 2+1 Dimensional U(1) Gauge Theory by Using the Improved Lattice Hamiltonian. Chinese Physics C, 1999, 23(12): 1152-1157.
[13]	Jiang Junqin . The Calculation of the Fermion Condensates by Using the Improved Hamiltonian. Chinese Physics C, 1998, 22(10): 891-895.
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Jiang Junqin and Luo Xiangqian. Calculation of the Vector Meson Mass in 1+1 Dimensional Lattice QCD by Using the Improved Hamiltonian[J]. Chinese Physics C, 1999, 23(7): 644-649.

Jiang Junqin and Luo Xiangqian. Calculation of the Vector Meson Mass in 1+1 Dimensional Lattice QCD by Using the Improved Hamiltonian[J]. Chinese Physics C, 1999, 23(7): 644-649. shu

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Received: 1998-05-11
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 Vector Meson Mass in 1+1 Dimensional Lattice QCD by Using the Improved Hamiltonian

Jiang Junqin ^,
Luo Xiangqian

Corresponding author: Jiang Junqin,

Department of Physics, Guangdong Institute of Education, Guangzhou 5103032 Department of Physics, Zhongshan University, Guangzhou 510275

Received Date: 1998-05-11
Accepted Date: 1900-01-01
Available Online: 1999-07-05

Abstract: The vector meson mass in 1+1 dimensional lattice QCD is calculated by using the variational method. The predictions are proved: The errors which come from the finite lattice spacing can be greatly reduced evidently by improving the lattice Hamiltonian with Wilson quark.