Problèmes mathématiques de la théorie quantique des champs II : prolongement analytique

Pierre Cartier

Séminaire Bourbaki (1972-1973)

  • Volume: 15, page 1-33
  • ISSN: 0303-1179

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Cartier, Pierre. "Problèmes mathématiques de la théorie quantique des champs II : prolongement analytique." Séminaire Bourbaki 15 (1972-1973): 1-33. <http://eudml.org/doc/109830>.

@article{Cartier1972-1973,
author = {Cartier, Pierre},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {1-33},
publisher = {Springer-Verlag},
title = {Problèmes mathématiques de la théorie quantique des champs II : prolongement analytique},
url = {http://eudml.org/doc/109830},
volume = {15},
year = {1972-1973},
}

TY - JOUR
AU - Cartier, Pierre
TI - Problèmes mathématiques de la théorie quantique des champs II : prolongement analytique
JO - Séminaire Bourbaki
PY - 1972-1973
PB - Springer-Verlag
VL - 15
SP - 1
EP - 33
LA - fre
UR - http://eudml.org/doc/109830
ER -

References

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  1. [1] P. Cartier - Problèmes Mathématiques de la Théorie Quantique des Champs, Séminaire Bourbaki, février 1971, in Lecture Notes in Maths, vol. 244, p. 106-122, Springer, 1971. Zbl0232.47051MR418713
  2. [2] I.M. Gelfand and N.Ya. Vilenkin - Generalized functions, vol. 4, Academic Press, New York, 1964. MR435834
  3. [3] F. Guerra, L. Rosen and B. Simon - Nelson's symmetry and the infinite volume behavior of the vacuum in P(Φ)w2 , Comm. Math. Phys., 27 (1972), p.10-22. 
  4. [4] R. Jost - General theory of quantized fields, American Math. Society Publications, 1963. Zbl0127.19105MR177667
  5. [5] E. Nelson - Partial differential equations (D.C. SPENCER éditeur), p. 413-420, Amer. Math. Soc. Symposia vol. XXIII, Providence, 1973. Zbl0279.60096MR337206
  6. [6] E. Nelson - Time-ordered operator products of sharp-time quadratic forms, Journ. Funct. Anal., 11 (1972), p. 211-219. Zbl0239.47012MR345561
  7. [7] E. Nelson - Construction of quantum fields from Markoff fields, Journ. Funct. Anal., 12 (1973), p. 97-112. Zbl0252.60053MR343815
  8. [8] E. Nelson - The free Markov field, Journ. Funct. Anal., idem, p. 211-227. Zbl0273.60079MR343816
  9. [9] D. Ruelle - Connection between Wightman functions and Green functions in p-space, Nuovo Cimento (10), 19 (1961), p. 356-376. Zbl0097.43003MR121152
  10. [10] J. Schwinger - On the Euclidean structure of relativistic field theory, Proc. Nat. Acad. Sci. USA, 44 (1958), p. 956-965. Zbl0082.42502MR97250
  11. [11] J. Schwinger - Euclidean quantum electodynamics, Phys. Rev.115 (1959), p. 721-731. Zbl0087.23202MR111498
  12. [12] I. Segal - Foundations of the theory of dynamical systems of infinitely many degrees of freedom, I, Mat. Phys. Medd. Kong. Danske Vides. Selskal, 31 (1959), n° 12. Zbl0085.21806MR112626
  13. [13] I. Segal - Non-linear functions of weak processes : I, Journ. Funct. Anal., 4 (1969), p. 404-457 ; II, Journ. Funct. Anal., 6 (1970), p. 29-75. Zbl0202.42201MR251991
  14. [14] B. Simon - On the Glimm-Jaffe linear bound in P(Φ)2 field theories, Journ. Funct. Anal., 10 (1972), p. 251-258. 
  15. [15] R. Streater and A. Wightman - PCT, spin, statistics and all that, Benjamin, New York, 1964. Zbl0135.44305MR161603
  16. [16] K. Symanzik - Application of functional integrals to euclidean quantum field theory, in Analysis in Function space, M.I.T. Press, Cambridge, Mass., 1964, p. 197-206. MR180180
  17. [17] K. Symanzik - A method for euclidean quantum field theory, in Mathematical Theory of elementary particules, M.I.T. Press, Cambridge, Mass., 1966, p. 125-140. MR210419
  18. [18] K. Symanzik - Euclidean quantum field theory, in Rendiconti della Scuola Internazionale di Fisica "E. FERMI", XLV Corso, p. 152-226. 
  19. [OS] K. Osterwalder et R. Schrader, Axioms for Euclidean Green's functions, Comm. Math. Phys.31 (1973), p. 83-112. Zbl0274.46047MR329492

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