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

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

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

Abstract
HTML
Reference
Related

PDF

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

[1]

. Berg B, Billoire A. Nucl. Phys., 1983, B221: 1092. UKQCD Collabration. Phys. Lett., 1993, B309: 378 3. Morning star C J, Peardon M. Phys. Rev., 1999, D60: 034509 4. Michael C, Teper M. Nucl. Phys., 1989, B314: 3475. CHEN H et al. Nucl. Phys., 1994, B34(Suppl): 3576. LUO X Q, CHEN Q et al. Mod. Phys. Lett., 1996, A11: 2435; LUO X Q. High Energy Phys. and Nucl. Phys., 1999, 23: 188(in Chinese)(罗向前. 高能物理与核物理, 1999, 23: 188) 7. Mandula J E et al. Nucl. Phys., 1983, B228: 1098. Johnson R, Teper M. Nucl. Phys., 1999, B73(Suppl.): 267 9. Jaffe R L, Johnson K, Ryzak Z. Ann. Phys., 1986, 168: 344 10. Nachtmann O. “High Energy Collision and Nonperturbative QCD” in the lecture notes at the workshop “Topics in Field Theories” held on Oct. 1993, Kloster Banz, Germany 11. LIU D Q, WU J M. hep-lat/010400712. Luscher M, Weisz P. Commun. Math. Phys., 1985, 97: 5913. Morningstar C J, Peardon M. Phys. Rev., 1997, D56: 404314. Lepage G P, Mackenizie P B. Phys. Rev., 1993, D48: 2250 15. Sommer R. Nucl. Phys., 1994, B411: 839 16. LIU C. Chin. Phys. Lett., 2001, 18: 187

[1]	JIANG Jun-Qin . Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks. Chinese Physics C, 2008, 32(1): 9-12. doi: 10.1088/1674-1137/32/1/002
[2]	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.
[3]	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.
[4]	ZHU Ying-Chun , SHEN Xiao-Yan , ZHENG Zhi-Peng . Monte Carlo Simulation of Searching for Glueball on BEPCⅡ/BESⅢ. Chinese Physics C, 2003, 27(7): 559-563.
[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 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.
[7]	Wu Jimin . A Discussion About Recent Numerical Results From the Calculation of the Glueball Masses on Lattice Gauge Theory. Chinese Physics C, 1996, 20(10): 894-899.
[8]	Liu Beishu , Zheng Xite . Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length. Chinese Physics C, 1995, 19(12): 1090-1095.
[9]	ZHENG Xi-Te , REN Xue-Zao . Calculation on U(1) Lattice Gauge Theory at Finite Temperature. Chinese Physics C, 1993, 17(2): 134-139.
[10]	CHEN Qi-Zhou , ZHENG Wei-Hong , LUO Xiang-Qian , FANG Xi-Yan . Variational Study of <ψψ> in the Lattice Schwinger Model. Chinese Physics C, 1991, 15(1): 23-28.
[11]	CHEN Qi-Zhou , FANG Xi-Yan , XU Guo-Cai , LIU Jin-Ming , LUO Xiang-Qian . Variational Study of. Chinese Physics C, 1991, 15(6): 518-523.
[12]	SHEN Qi-Xing . Current Situation on the Glueball Research. Chinese Physics C, 1991, 15(4): 358-384.
[13]	ZHU Zheng-Kun , ZHANG Xiao-Ze , JIN Xing-Nan , SA Ben-Hao . IMPROVEMENT OF THERMODYNAMICAL MONTE CARLO SIMULATION IN SU(2) PURE GAUGE FIELD THEORY ——AN APPROACH TO CONTINUUM PHYSICS LIMIT. Chinese Physics C, 1989, 13(4): 339-345.
[14]	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.
[15]	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.
[16]	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.
[17]	DONG Shao-Jing , YING He-Ping . AN ALTERNATIVE WAY OF CALCULATING GLUEBALL MASSES AT WEAKER COUPLING. Chinese Physics C, 1988, 12(2): 277-280.
[18]	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.
[19]	WU Ji-Min , ZHAO Pei-Ying . ANALYTIC CALCULATION FOR GLUON CONDENSATION IN SU (2) LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(1): 64-67.
[20]	LIU Jin-Ming , ZHENG Bo , GUO Shuo-Hong . QUARK MASS RENORMALIZATION IN LATTICE GAUGE THEORY (Ⅱ) BARYON MASS CALCULATION. Chinese Physics C, 1986, 10(1): 116-119.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2001-06-07
Revised: 1900-01-01

Article Metric

Article Views(2812)
PDF Downloads(594)
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

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.