Glueball Mass in Improved <EM>SU</EM>(3) Lattice Hamiltonian in 2+1 Dimensional

LIU Jin-Ming; LI Jie-Ming; GUO Shuo-Hong

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2001, Vol. 25> Issue(5) : 383-387

Glueball Mass in Improved SU(3) Lattice Hamiltonian in 2+1 Dimensional

Department of Physics, Zhongshan University, Guangzhou 510275, China

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Abstract：
An improved lattice Hamiltonian is applied to the SU(3) lattice gauge theory in 2+1 dimensions. The glueball masses of 0⁺ and 0^－ have been calculated by using the coupled-clusters expansion with the truncated eigenvalue equations in a scheme preserving the continuum limit. The calculations up to third-order are carried out, and the results show better scaling behavior than that given by non-improved one.

References

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　Kogut J,Susskind L.Phys.Rev.,1975,D11:395　 2　Symmanzik K,Nucl.Phys.,1983,B22 6:1 87　 3　Hamber H,WU C M.Phys.Lett.,1983,B133:351　 4　Lapage G P.Schladming Winter School Lectures,1996　 5　LUO X Q et al.Phys.Rev.,1999,D59:034 503 6　LIU Jin Ming et al.CCAST-WL Workshop Serise; Experimental and Theoretical Study of Glueballs(II),1999　 7　JIANG Jun Qin et al.High Energy Phys.and Nucl.Phys.,1999,23(12):1152(in Chinese)(江俊勤等.高能物理与核物理,1 999,23(12):1152)　 8　LI Jie Ming et al.Commun Theor.Phys.,Calculation of Vacuum Wavefunction and Mass Gap from Improved 2+1 D SU(2)Lattice Gauge Field Hamil tonian.(to be Published) 　9　CHEN Q Z et al.Phys.Lett.,1995,B348:560 10　LIU Jin Ming et al.High Energy Phys.and Nucl.Phys.,1988,12(3):420(in Chinese)(刘金明等.高能物理与核物理,1988,12(3):420)

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[11]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
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[14]	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.
[15]	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.
[16]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(4): 316-319.
[17]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL U(1) LGT. Chinese Physics C, 1989, 13(2): 184-187.
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[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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LIU Jin-Ming, LI Jie-Ming and GUO Shuo-Hong. Glueball Mass in Improved SU(3) Lattice Hamiltonian in 2+1 Dimensional[J]. Chinese Physics C, 2001, 25(5): 383-387.

LIU Jin-Ming, LI Jie-Ming and GUO Shuo-Hong. Glueball Mass in Improved SU(3) Lattice Hamiltonian in 2+1 Dimensional[J]. Chinese Physics C, 2001, 25(5): 383-387. shu

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Received: 2000-03-08
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

Glueball Mass in Improved SU(3) Lattice Hamiltonian in 2+1 Dimensional

Corresponding author: LIU Jin-Ming,

Department of Physics, Zhongshan University, Guangzhou 510275, China

Received Date: 2000-03-08
Accepted Date: 1900-01-01
Available Online: 2001-05-05

Abstract: An improved lattice Hamiltonian is applied to the SU(3) lattice gauge theory in 2+1 dimensions. The glueball masses of 0⁺ and 0^－ have been calculated by using the coupled-clusters expansion with the truncated eigenvalue equations in a scheme preserving the continuum limit. The calculations up to third-order are carried out, and the results show better scaling behavior than that given by non-improved one.