Non-Perturbative Propagators in QCD

BIAN Jian-Guo

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2024年10月30日

Chinese Physics C> 1991, Vol. 15> Issue(11) : 973-980

Non-Perturbative Propagators in QCD

BIAN Jian-Guo ^,

Institute of High Energy Physics,Beijing 100039

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Abstract：
We have derived the gluon and quark complete propagators under chain approximation in the presence of gluon condensation <Ω│G²│Ω> and quark condensation <Ω│ψψ│Ω>.The nonvanishing vacuum average value for gluon composite operator <Ω│Aαμ(x)Abv(y)│Ω> is expanded into a series in terms of two point distance (x—y) in Lorentz gauge condition.The series is of translation invariance as compared with the series in fixed gauge condition.<Ω│G²│Ω> is introduced as the series coefficient when we take into account the correction of <Ω│Aαμ(x)Abv(y)│Ω> to quark propagator.

References

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M. A. Shifman, A. I. Vainshtein and V.I.Zaknarov, Nucl. Phys., B147(1979),385; B147(1979), 448;B147(1979), 519.[2] T. I. Larsson, Phys. Rev., D32(1984), 956;T. Huang and Z. Huang, Phys. Rev.,D39(1988), 1213.L. J. Reinders, H. Rubinstein and S. Yazaki, Phys, Rep., 127(1985), 1.[3] M. A. Shifman, Nucl. Phys., B173(1980), 13.[4] V. A. Novikov, M. A. Shifman et al., F. Phys., 32(1982), 585.[5] F. J. Yndurain, Quantum Chromodynamics, edited by W. Beiglbock et al.(Springer, New York, 1983),Chap. IV.[6] V.l.Chernyak and A. R. Zhitnitskii, Phys. Rep., 112(1984), 173.

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BIAN Jian-Guo. Non-Perturbative Propagators in QCD[J]. Chinese Physics C, 1991, 15(11): 973-980.

BIAN Jian-Guo. Non-Perturbative Propagators in QCD[J]. Chinese Physics C, 1991, 15(11): 973-980. shu

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Received: 1900-01-01
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

Non-Perturbative Propagators in QCD

BIAN Jian-Guo ^,

Corresponding author: BIAN Jian-Guo,

Institute of High Energy Physics,Beijing 100039

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1991-11-05

Abstract: We have derived the gluon and quark complete propagators under chain approximation in the presence of gluon condensation <Ω│G²│Ω> and quark condensation <Ω│ψψ│Ω>.The nonvanishing vacuum average value for gluon composite operator <Ω│Aαμ(x)Abv(y)│Ω> is expanded into a series in terms of two point distance (x—y) in Lorentz gauge condition.The series is of translation invariance as compared with the series in fixed gauge condition.<Ω│G²│Ω> is introduced as the series coefficient when we take into account the correction of <Ω│Aαμ(x)Abv(y)│Ω> to quark propagator.