Lettere al Nuovo Cimento (1971-1985)

, Volume 11, Issue 6, pp 358–362 | Cite as

The Eikonal approximation and the large-mass expansion in field theory

  • E. Car
  • G. M. Cicuta


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. (1).
    The existing literature on the subject is extremely wide. Here we merely quote some reviews.H. Abarbanel, R. L. Sugar andH. H. Islam: Lectures at the14th Annual Institute for Theoretical Physics (Boulder, Colo., 1972);C. Itzykson:Ann. der Phys.,7, 59 (1972);H. M. Fried:Functional Methods and Models in Quantum Field Theory (Cambridge, Mass., 1972); and more recentlyC. A. Orzalesi: IC/73/148 International Centre for Theoretical Physics preprint, to appear inAbn. of Phys. Google Scholar
  2. (2).
    See in particularE. S. Fradkin:Proc. P. N. Lebedev Phys. Inst., Vol. 29 (1965); and, more available,E. S. Fradkin, U. Esposito andS. Termini:Rivista Nuovo Cimento,2, 498 (1970); more recently, Orzalesi (1). A different expansion was given byR. Blankenbecler andR. L. Sugar:Phys. Rev. D,2, 3024 (1970). See also the recent work on potential theory byS. J. Wallace:Ann. of Phys.,78, 190 (1973).Google Scholar
  3. (3).
    J. Schwinger:Proc. Nat. Acad. Sci.,37, 452 (1951);K. Symanzik:Zeits. Naturf.,9 a, 809 (1954);E. S. Fradkin (2).MathSciNetADSCrossRefGoogle Scholar
  4. (4).
    H. Abarbanel andC. Itzykson:Phys. Rev. Lett.,23, 53 (1969).ADSCrossRefGoogle Scholar
  5. (5).
    A. R. Swift:Phys. Rev. D,9, 1740 (1974).ADSCrossRefGoogle Scholar
  6. (7).
    N. Nakantshi:Graph Theory and Feynman Integrals (New York, N. Y., 1971);E. J. Eden et al.: The Analytic S-Matrix, Chapt. 1 (Cambridge, Mass., 1966).Google Scholar
  7. (8).
    R. Car andG. H. Cicuta: to be published.Google Scholar
  8. (9).
    F. W. J. Olver:Introduction to Asymptotics and Special Functions, Chapt. 4, (New York, N. Y., 1974).Google Scholar
  9. (12).
    M. Levy andJ. Sucher:Phys. Rev.,186, 1656 (1969);Phys. Rev. D,2, 1716 (1970);F. Englert, P. Nicoletopoulos, R. Brout andC. Truffin:Nuovo Cimento,64 A, 561 (1969).MathSciNetADSCrossRefGoogle Scholar
  10. (13).
    S. J. Chang andS. Ma:Phys. Rev.,180, 1506 (1969).ADSCrossRefGoogle Scholar
  11. (14).
    G. Tiktopoulos andS. B. Treiman:Phys. Rev. D,3, 1037 (1971).ADSCrossRefGoogle Scholar
  12. (15).
    H. Banerjee andS. Malik:Phys. Rev. D,9, 956 (1974).MathSciNetADSCrossRefGoogle Scholar
  13. (16).
    S. P. Kuleshot, V. A. Matveev, A. N. Sissakian, M. A. Smondyrev and A. N. Tavkhelidze: Dubna preprint E 2-7041 (1973) submitted toThem. Math. Phys. Google Scholar

Copyright information

© Società Italiana di Fisica 1974

Authors and Affiliations

  • E. Car
    • 1
    • 2
  • G. M. Cicuta
    • 1
    • 2
  1. 1.Istituto di Fisica dell’UniversitàMilano
  2. 2.Sezione di MilanoIstituto Nazionale di Fisica NucleareItalia

Personalised recommendations