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

  • 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 JPC 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.
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  • [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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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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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

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 JPC 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.

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