Nonperturbative QCD Corrections to One-Gluon Exchange Quark Potentials Under Lorentz Gauge Condition

Yang Jianjun; Li Guanglie; Huang Tao; Shen Hongqing

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2024年10月30日

Chinese Physics C> 1999, Vol. 23> Issue(7) : 665-680

Nonperturbative QCD Corrections to One-Gluon Exchange Quark Potentials Under Lorentz Gauge Condition

Institute of High Energy Physics, Academia Sinica, Beijing 1000391 Department of Physics, Nanjing Normal University, Nanjing 210097

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Abstract：
We derive the non-local two-gluon vacuum expectation value with translational invariance in Lorentz gauge. By means of the obtained two-gluon vacuum expectation value, the lowest dimentional nonperturbative QCD corrections to one gluon exchange quark-quark, quark-antiquark and qq pairexcitation potentials are given.

References

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Isgur N, Karl G. Phys. Rev., 1997, D18:4187; Godfrey D, Isgur N. Phys, Rev. 1985, D32: 189; Rujula ADe, Deorgi H, Glashow S L. Phys. Rev., 1975, D12:147 2 Muller R, Schmeidl T, Hofmann H M. Z. Phys., 1989, 334:4513 Liu J P, Huang H, Wang R. Phys. Rev., 1994, D49:34744 Pineda A. Nucl. Phys., 1997, B494: 213; Phys. Rev., 1997, D55:4075 Brambilla N, Vairo A. Phys. Lett., 1997, B407:1676 Shifman M A, Vainshtein A I, Zakharov V I. Nucl. Phys., 1979, B147: 385, 448, 519; Schwinger J.Quantum Chromodynamics. New York: Spring Velag, 1983. Chap. Ⅳ7 Yang J J, Shen H Q, Li G L. Mod. Phys. Lett., 1997, A12:19838 Yang J J, Li G L, Huang T. Chin. Phys. Lett., 1997, 14:724 9 Elias V, Steele T G, Scadron M D. Phys. Rev., 1988, D38:1584 10 Bian J G, Huang T. Chin. Phys. Lett., 1992, 9:511 Began E, Ahmady M R. Elias V et al. Phys. Lett, 1993, B305: 151; Z. Phys., 1994, C61: 15712 Itzykson C, Zuber J B. Quantum Field Theory. New York: McGraw–Hill, 1980. 289 13 Wilson K G. Phys. Rev., 1969, 179: 1499 14 Shen P N, Li X Q, Guo X H. Phys. Rev., 1992, C45:1894 15 Henley E M, Oka T, Vergados J D. Nucl. Phys., 1988, A476:589

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Yang Jianjun, Li Guanglie, Huang Tao and Shen Hongqing. Nonperturbative QCD Corrections to One-Gluon Exchange Quark Potentials Under Lorentz Gauge Condition[J]. Chinese Physics C, 1999, 23(7): 665-680.

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Received: 1998-05-11
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

Nonperturbative QCD Corrections to One-Gluon Exchange Quark Potentials Under Lorentz Gauge Condition

Corresponding author: Yang Jianjun,

Institute of High Energy Physics, Academia Sinica, Beijing 1000391 Department of Physics, Nanjing Normal University, Nanjing 210097

Received Date: 1998-05-11
Accepted Date: 1900-01-01
Available Online: 1999-07-05

Abstract: We derive the non-local two-gluon vacuum expectation value with translational invariance in Lorentz gauge. By means of the obtained two-gluon vacuum expectation value, the lowest dimentional nonperturbative QCD corrections to one gluon exchange quark-quark, quark-antiquark and qq pairexcitation potentials are given.