New Approach to Constructing the Operator on the Lattice for the Calculation of the Glueball Masses

LIU Da-Qing; WU Ji-Min; CHEN Ying

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2002, Vol. 26> Issue(3) : 222-229

New Approach to Constructing the Operator on the Lattice for the Calculation of the Glueball Masses

CCASTWorld Lab., Beijing 100080, China2 Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China

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Abstract：
We develop a new approach to constructing the lattice operators for the calculation of the glueball mass, which is based on the connection between the continuum limit of the chosen operator and the quantum number J^PC of the state. The spin of the state is then determined uniquely and directly in numerical simulation. Furthermore, the approach can be applied to the calculation of the mass of glueball states with any spin. J. Under the quenched approximation, we present our preliminary results in SU(3) pure gauge theory for the mass of 0⁺⁺ state and 2⁺⁺ state, which are 1754(85)(86) MeV and 2417(56)(117) MeV, respectively.

References

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[1]	HUI Ping . Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT. Chinese Physics C, 2005, 29(4): 345-349.
[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 . Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA. Chinese Physics C, 2004, 28(11): 1146-1149.
[4]	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.
[5]	HU Lian , HUI Ping , CHEN Qi-Zhou . Glueball Masses of the 0⁺⁺ and 0^－－ in 3+1-D SU(3) LGT. Chinese Physics C, 2002, 26(8): 773-778.
[6]	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.
[7]	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.
[8]	HUI Ping . Sixth Order Approximation of the Glueball Wave Function in 2+1-DSU(2)LGT. Chinese Physics C, 2000, 24(7): 636-641.
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LIU Da-Qing, WU Ji-Min and CHEN Ying. New Approach to Constructing the Operator on the Lattice for the Calculation of the Glueball Masses[J]. Chinese Physics C, 2002, 26(3): 222-229.

LIU Da-Qing, WU Ji-Min and CHEN Ying. New Approach to Constructing the Operator on the Lattice for the Calculation of the Glueball Masses[J]. Chinese Physics C, 2002, 26(3): 222-229. shu

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Received: 2001-06-07
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

New Approach to Constructing the Operator on the Lattice for the Calculation of the Glueball Masses

Corresponding author: LIU Da-Qing,

CCASTWorld Lab., Beijing 100080, China2 Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China

Received Date: 2001-06-07
Accepted Date: 1900-01-01
Available Online: 2002-03-05

Abstract: We develop a new approach to constructing the lattice operators for the calculation of the glueball mass, which is based on the connection between the continuum limit of the chosen operator and the quantum number J^PC of the state. The spin of the state is then determined uniquely and directly in numerical simulation. Furthermore, the approach can be applied to the calculation of the mass of glueball states with any spin. J. Under the quenched approximation, we present our preliminary results in SU(3) pure gauge theory for the mass of 0⁺⁺ state and 2⁺⁺ state, which are 1754(85)(86) MeV and 2417(56)(117) MeV, respectively.