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

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

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

Abstract
HTML
Reference
Related

PDF

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

[1]

　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)

[1]	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.
[2]	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.
[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]	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.
[6]	HUI Ping . Sixth Order Approximation of the Glueball Wave Function in 2+1-DSU(2)LGT. Chinese Physics C, 2000, 24(7): 636-641.
[7]	JIANG JunQin , LI JieMing . Improved Scheme of the Lattice Hamiltonian in 1+1 Dimensional QCD. Chinese Physics C, 2000, 24(3): 208-212.
[8]	HUI Ping , CHEN QiZhou . 0⁺⁺ Glueball Mass in 2+1-D SU(3) LGT. Chinese Physics C, 2000, 24(9): 805-809.
[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]	Hul Ping . (2+1)-D SU(3)0⁺⁺ Glueball Wavefunction. Chinese Physics C, 1999, 23(4): 340-346.
[11]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[12]	Jiang Junqin , Luo Xiangqian . Calculation of the Vector Meson Mass in 1+1 Dimensional Lattice QCD by Using the Improved Hamiltonian. Chinese Physics C, 1999, 23(7): 644-649.
[13]	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.
[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.
[18]	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.
[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.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2000-03-08
Revised: 1900-01-01

Article Metric

Article Views(2854)
PDF Downloads(589)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.