Advertisement

Null Plane Field Theory

  • F. Rohrlich
Conference paper
Part of the Few-Body Systems book series (FEWBODY, volume 8/1971)

Abstract

The purpose of these lectures is to present a coherent and logically consistent introduction into null plane field theory starting from first principles. We are dealing here with a well known subject to which have been added many new twists. The null planes open a variety of new aspects which are only beginning to be explored, the whole topic being just a few years old. Much of the material can be found in the published literature, especially where very recent publications are included; but there will also be a number of unpublished results making their first appearance.

Keywords

Commutation Relation Free Field Classical Field Theory Invariant Component Infinitesimal Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Robert A. Neville, Ph. D. thesis (Syracuse University, 1968 )Google Scholar
  2. 2.
    R. A. Neville and F. Rohrlich, Phys. Rev., April 1971.Google Scholar
  3. 3.
    H. Bebie and H. Leutwyler, Phys. Rev. Lett. 19, 618 (1967); H. Leutwyler, Acta Phys. Austriaca, Suppl. V, 1968 and Springer Tracts in Modern Phys. 50, 29 (1969).Google Scholar
  4. 4.
    L. Susskind, Phys. Rev. 165, 1535 (1968); L. Susskind and M. B. Halpern, Phys. Rev. 176, 1686 (1968); S. Chang and S. Ma, Phys. Rev. 180, 1506 (1969) and 188, 2385 (1969). The limit of the boost operator was mentioned by K. Bardacki and G. Segré, Phys. Rev. 159, 1263 (1967); the absence of vacuum diagrams in the limit was found by S. Weinberg, Phys. Rev. 150, 1313 (1966).Google Scholar
  5. 5.
    R. A. Neville and F. Rohrlich, Nuovo Cim.Google Scholar
  6. 6.
    For a simple case which however contains all the essential features this theorem is proven in F. Rohrlich, “Classical Charged Particles”, Addison-Wesley, Reading, Mass. 1965, where references to other proofs are also given.Google Scholar
  7. 7.
    This is proven in Appendix 1 of reference 5.Google Scholar
  8. 8.
    Dilatation and conformal transformation were reviewed by T. Fulton, F. Rohrlich, and L. Witten, Rev. Mod. Phys. 34, 422 (1962); the representation theory can be found in H. A. applications to quantum paper by J. Wess, G. Mack and A. Salam, Kastrup, Ann. Physik 9, 388 (1962), field theory in the excellent Nuovo Cim. 18, 1086 (1960).Google Scholar
  9. 9.
    G. Mack and A. Salam, Ann. Physics (N.Y.) 53, 174 (1969); D. J. Gross and J. Wess, Phys. Rev. D2, 753 (1970).Google Scholar
  10. 10.
    J. R. Klauder, H. Leutwyler and L. Streit, Nuovo Cim. 66A, 536 (1970).MathSciNetADSGoogle Scholar
  11. 11.
    F. Rohrlich and L. Streit (to be published).Google Scholar
  12. 12.
    J. B. Kogut and D. E. Soper, Phys. Rev. Dl, 2901 (1970).ADSGoogle Scholar
  13. 13.
    F. Rohrlich, Acta Phys. Austriaca 32, 87 (1970).Google Scholar
  14. 14.
    J. D. Bjorken, J. B. Kogut and D. E. Soper, Phys. Rev. D15, 1382 (1971).Google Scholar
  15. 15.
    We refer to Y. Frishman’s lectures for references on Wilson’s expansion.Google Scholar

Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • F. Rohrlich
    • 1
  1. 1.Department of PhysicsSyracuse UniversitySyracuseUSA

Personalised recommendations