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

[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]	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.
[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]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[11]	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.
[12]	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.
[13]	Jiang Junqin , Xu Guocai , Chen Qizhou . The Calculation of M_v/m in the Lattice Schwinger Model with Massive Wilson Fermions. Chinese Physics C, 1994, 18(3): 222-228.
[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 U(1) LGT. Chinese Physics C, 1989, 13(2): 184-187.
[16]	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.
[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.

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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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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.