THE INFRARED STRUCTURE AND THE ELECTROMAGNETIC FORM FACTORS OF QUANTUM CHROMODYNAMICS IN TWO DIMENSIONS

HUANG TAO; XUE PEI-YOU

Chinese Physics C> 1979, Vol. 3> Issue(2) : 188-202

THE INFRARED STRUCTURE AND THE ELECTROMAGNETIC FORM FACTORS OF QUANTUM CHROMODYNAMICS IN TWO DIMENSIONS

HUANG TAO ,
XUE PEI-YOU

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Abstract：
We discuss a model of quantum chromodynamics in 1+1 dimension.Using't Hooft's 1/N expansion and considering the effects of the infrared structure in non-Abelian gauge theories by assuming that the coupling g²（t）～1/t^κ-1,the Straton's Pro-pagator and the Bethe-Salpeter equation of mesons are obtained;the propertiesof the meson wave functions and their characteristics are also discussed.From thebehaviour of the electromagnetic form factors and the deep inelastic scattering struc-ture functions obtained,it follows that κ≤2.

References

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M .Han, Y. Nambu, Phys. Rev., B139 (1965), 1006.[2] 刘耀阳，原子能，3(1966), 232.[3] 李宗、卞震、习成，物理学报，24 (1975), 372.[4] D. J. Gross, F. Wilczek, Phys. Rev., D8 (1973), 3633.[5] E. C. Poggio, Phys. Letters, B68 (1977), 347.[6] Chriat et al., Phys. Rev，D6 (1972). 3543.[7] 't Hooft, Nuclear Physics., B72 (1974), 461;B75 (1974),461.[8] C. G. Callen et al., Phys. Rev., D13 (1976), 1649.[9] M. B. Einhorn. Phys. Rev. D14 (1976).3541.[10] 这方面文章很多，例如：M. B. Einhorn, et al., Phys. Rev., D15(1977),2282;R.C.Brower et al.,Nuclear Physics, B128(1977),131;R.C.Brower et al.,Phys.Rev.Letters.,40(1978),674;C.S.Lan,T.M.Yan,Physics Letters,B71(1977),173;M.Fukugita et al.,Physics Letters,B72(1977),237;H.Frtzsch et al.,Physics Letters,B69(1977),316;G.Sterman,S.Weinberg,Phys.Rev.Letters,39(1977),1436.[11] E.C. Poggio, Phys. Rev., D16 (1977),2586.[12] C.Alalico and G. Schierholz, Nuclear Physics, B126 (1977), 416.[13] S. J. Brodsky and G. R. Farrar, Phys. Rev., D11(1975),1309.[14] S. D. Dreel and T.M. Yan, Phys. Rev. Letters, 24 (1970), 181;G.B.West, Phys. Rev. Letters, 24 (1970),1206.[15] E. D. Bloom and F.J. Gilman, Phys. Rev., D4 (1971), 2901.

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HUANG TAO and XUE PEI-YOU. THE INFRARED STRUCTURE AND THE ELECTROMAGNETIC FORM FACTORS OF QUANTUM CHROMODYNAMICS IN TWO DIMENSIONS[J]. Chinese Physics C, 1979, 3(2): 188-202.

HUANG TAO and XUE PEI-YOU. THE INFRARED STRUCTURE AND THE ELECTROMAGNETIC FORM FACTORS OF QUANTUM CHROMODYNAMICS IN TWO DIMENSIONS[J]. Chinese Physics C, 1979, 3(2): 188-202. shu

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Received: 1978-04-17
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

THE INFRARED STRUCTURE AND THE ELECTROMAGNETIC FORM FACTORS OF QUANTUM CHROMODYNAMICS IN TWO DIMENSIONS

HUANG TAO
XUE PEI-YOU

Received Date: 1978-04-17
Accepted Date: 1900-01-01
Available Online: 1979-04-05

Abstract: We discuss a model of quantum chromodynamics in 1+1 dimension.Using't Hooft's 1/N expansion and considering the effects of the infrared structure in non-Abelian gauge theories by assuming that the coupling g²（t）～1/t^κ-1,the Straton's Pro-pagator and the Bethe-Salpeter equation of mesons are obtained;the propertiesof the meson wave functions and their characteristics are also discussed.From thebehaviour of the electromagnetic form factors and the deep inelastic scattering struc-ture functions obtained,it follows that κ≤2.