Non-perturbative Quark Propagator and the Study of the Non-trivial Q<SUP>2</SUP> Dependence in the Nucleon Structure Functions

Yang Jianjun; Ma Boqiang; Li Guanglie

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2024年10月30日

Chinese Physics C> 1997, Vol. 21> Issue(2) : 146-156

Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions

Department of Physics,Nanjing Normal University,Nanjing 2100972 Institute of High Energy Physics,The Chinese Academy of Sciences,Beijing 100039

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In consideration of the lowest order non-perturbative effect due to the quark condensate <qq>and gluon condensate on the quark propagator,we calculate QCD non-pertubative quark propagator under the chain approximation.Using the obtained non-perturbative quark propagator,we analyse the non-perturbative effect in the nucleon structure functions and show the non-trivial Q²-dependence in the nucleon structure functions.

References

[1]

R. P. Feynman Phys. Rev Lett, 23(1969)1415; D. Bjorken. Phys. Rev., 179(1969)1547;D. Bjorl:en. E. A. Paschus, Phys. Rev.. 185(1969)1975.[2] K. GottFned, Phys. Rev. Lett, 18(1967)1174.[3] NM Collab, P. Amaudruz et al., Phys. Rev. Lett, 66(1991)2712;M. Ameodo et al. Phys. Rev. D50(1994)RI.[4] Ellis. R. L. Jaffe, Phys. Rev, D9(1974)1444; Erralurn, D10(1974)1669.[5] D. Adams et al., Phys. Lett, 8329(1994)399.[6] G. Preparata. P. G. Ratcliffe Soffer. Phys. Rev. Lett, 66(1991)687;E. M. Henley, G. A. Miller. Phys. Lett, B251(1990)453;A. D. Martin, W. J. Stirling, R. G. Roberts, Phys. Lett., B252(1990)653;S. D. Elks, W. J. Stirling. Phys. Lett., B256(1991)258;L. P. Kaptari. A. Yu. Umnikov, Phys. Lett, B272(1991)359;B. Q. Ma. Phys. Lett., B274(1992)III.[7] M. Anselmino, A. Efremov, E. Leader. Phys. Rep., 261(1995)1.[8] T. I. Larson. Phys. Rev, D32(1985)956;L. J. Reinders. H. Rubinstein. S. Yazaki, Phys. Rep. 127(1985)1.[9] T. Huang. Z. Huang, Phys. Rev., D39(1988)1213.[10] M. A. Shifman. A. I. Vainshtein. V, 1. Zakharov, Nucl. Phys., B147(1979)385;448.[11] S. Y. Hsueh et al. Phys. Rev., D38(1988)2056.[12] F. Buccella, J. Suffer. Mod. Phys. Lett, A8(1993)225.

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Yang Jianjun, Ma Boqiang and Li Guanglie. Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions[J]. Chinese Physics C, 1997, 21(2): 146-156.

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Received: 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 Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions

Corresponding author: Yang Jianjun,

Department of Physics,Nanjing Normal University,Nanjing 2100972 Institute of High Energy Physics,The Chinese Academy of Sciences,Beijing 100039

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1997-02-05

Abstract: In consideration of the lowest order non-perturbative effect due to the quark condensate <qq>and gluon condensate on the quark propagator,we calculate QCD non-pertubative quark propagator under the chain approximation.Using the obtained non-perturbative quark propagator,we analyse the non-perturbative effect in the nucleon structure functions and show the non-trivial Q²-dependence in the nucleon structure functions.

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Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions

Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions