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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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 ^PCof 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

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[12]	Hui Ping,Cai Pengfei,Chen Qizhou. Analytic calculation of Glueball Mass In (2+1)-DSU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[13]	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.
[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]	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.
[18]	DONG Shao-Jing,YING He-Ping. AN ALTERNATIVE WAY OF CALCULATING GLUEBALL MASSES AT WEAKER COUPLING. Chinese Physics C, 1988, 12(2): 277-280.
[19]	WU Ji-Min,ZHAO Pei-Ying. ANALYTIC CALCULATION FOR GLUON CONDENSATION INSU(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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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^PCof 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.