Il Nuovo Cimento A (1965-1970)

, Volume 3, Issue 1, pp 82–92 | Cite as

A current-algebra-like approach to the deep inelastic region.

  • M. Boiti
  • E. Donini
  • F. Pempinelli


The connection between scale-invariant structure functions of the electron-proton scattering in the deep inelastic region and charge-density commutators at almost equal time is discussed; current algebra features and methods turn out to be relevant in this framework and an infinite set of sum rules is derived. By exploiting the microcausality requirement, certain consequences of scaling amplitudes are obtained, which severely limit the analytical structure of the latter.


Si prende in esame la connessione tra le funzioni di struttura invarianti di scala della diffusione elettrone su protone, nella regione assai inelastica, e i cornmutatori della densità di earica a tempi quasi uguali; in questo ambito rislfltano importanti procedimenti e tecniche dell\rsalgebra delle correnti e si ricava un insieme infinito di regole di somma. Usando esplicitamente la richiesta di microcausalità si ottengono conseguenze sulle ampiezze invarianti di scala, tali da limitarne fortemente la struttura analitica.


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    Present experiments arc in agreement with the scale invariance hypothesis. In particular meaningful experimental data are available for theν W 2 amplitude, which is related to the differential cross-section for e-p scattering in the forward direction. SeeR. E. Taylor:Proceedings of the IV International Symposium on Electron and Photon Interactions at High Energies (1969);W. Albrecht,F. W. Brasse,H. Dorner,W. Flauger,K. H. Frank,J. Gayler,H. Hultschig,V. Korbel,J. May andE. Ganssauge: DESY preprint 69/46 (1969);D. E. Andrews,K. Berkelman,D. G. Cassel,D. L. Hartill,J. Hartmann,R. Kerchner,E. Lazarus,R. M. Littauer,R. L. Loveless,R. Rohles,D. H. White andA. J. Sadoff:Preliminary results on hadron production in deep inelastic electron scattering, CLNS preprint 121 (August 1970).Google Scholar
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    We are glad to thank Prof. R. Gatto, who called our attention to this point.Google Scholar

Copyright information

© Società Italiana di Fisica 1971

Authors and Affiliations

  • M. Boiti
    • 1
    • 2
  • E. Donini
    • 1
    • 2
  • F. Pempinelli
    • 1
    • 2
  1. 1.Istituto di Fisica dell’ UniversitàLecce
  2. 2.Istituto Nazionale di Fisica di NucleareSottosezione di Bari

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