Integral relations in complex space and the global analytic and monodromic structure of Green's functions in quantum field theory: Some general ideas and recent results

Part III General Structure of Green Functions and Collission Amplitudes
Part of the Lecture Notes in Physics book series (LNP, volume 126)


Integral Relation Feynman Amplitude Irreducible Function Landau Singularity General Quantum Field Theory 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    K. SYMANZIK, J. Math. Phys. 1, 249 (1960) and in “Symposium on Theoretical Physics”, 3, 121, New York, Plenum Press (1967)CrossRefGoogle Scholar
  2. [2]
    J. BROS in “Analytic Methods in Math. Physics”, p.85, Gordon and Breach, New York (1970)Google Scholar
  3. [2]a
    J. BROS, M. LASSALLE, Comm. Math. Phys. 54, 33 (1977)CrossRefGoogle Scholar
  4. [3]a)
    J. BROS, M. LASSALLE, in “Structural Analysis of Collision Amplitudes” p.97 North Holland, Amsterdam (1976)Google Scholar
  5. [3]b)
    J. BROS, in A.M.P. Conference, Lausanne, August 1979Google Scholar
  6. [4]
    R. OMNES in “Relations de Dispersion et Particules E1émentaires”, Hermann, Paris (1960), and references quoted thereinGoogle Scholar
  7. [5]
    H. EPSTEIN in “Axiomatic Field Theory”, vol.l, p3–133, Gordon and Breach, New York (1965) and references quoted thereinGoogle Scholar
  8. [6]
    D. IAGOLNITZER, The S-Matrix, North Holland, Amsterdam (1978) and references quoted therein; and D. Iagolnitzer in this volume.Google Scholar
  9. [7]
    L.D. LANDAU, Nuclear Physics, 13, 181 (1959)CrossRefGoogle Scholar
  10. [7]a
    R.J. EDEN, P.V. LANDSHOFF, D.I. OLIVE, J.C. POLKINGHORNE, “The analytic S-matrix”, Cambridge Univ. Press (1966) and references quoted thereinGoogle Scholar
  11. [8]
    D. FOTIADI, M. FROISSART, J. LASCOUX, F. PRAM, Topology (Cr. Brit) 4, 159 (1965)CrossRefGoogle Scholar
  12. [8]a
    F. PHAM: “Introduction à l'étude topologique des singularités de Landau”, Gauthier-Villars, Mémorial des Sc. Math. 164 (1967)Google Scholar
  13. [9]
    G. PONZANO, T. REGGE, E.R. SPEER, M.J. WESTWATER, Comm. Math. Phys. 15, 83 (1969)CrossRefGoogle Scholar
  14. [10]
    M. KASHIWARA, T. KAWAI, T. OSHIMA, Comm. Math. Phys. 60, 97 (1978) and references quoted therein.CrossRefGoogle Scholar
  15. [10]a
    A. VAN DEN ESSEN, in this volumeGoogle Scholar
  16. [11]
    G.F. CHEW, The Analytic S-matrix, W.A. Benjamin, New York (1966) and references quoted thereinGoogle Scholar
  17. [12]
    T. SPENCER, F. ZIRILLI, Comm. Math. Phys. 49, 1 (1976)CrossRefGoogle Scholar
  18. [13]
    M. COMBESCURE, F. DUNLOP, “n-particle irreducible functions in euclidean O.F.T.” Preprint IHES, Bures-sur-Yvette (1978)Google Scholar
  19. [13]a
    H. KOCH, Thesis, Genève Univ. (1979)Google Scholar
  20. [14]
    M. LASSALLE, Comm. Math. Phys. 34, 185 (1974)CrossRefGoogle Scholar
  21. [15]
    J. LERAY, Bull. Soc. Math. de France 87, 81 (1959)Google Scholar
  22. [16]
    J. BROS, D. PESENTI, “Fredholm theory in complex manifolds ...” to be published in Journal de Math. Pures et Appliquées (Preprint Orsay University, 1979)Google Scholar
  23. [17]
    J. BROS, “Cours de 3ème cycle”, Lausanne University, May 1979Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • J. Bros
    • 1
  1. 1.DPh-T, CEN Saclay, BP 2Gif-sur-YvetteFrance

Personalised recommendations