Problèmes mathématiques de la théorie quantique des champs II : prolongement analytique
Séminaire Bourbaki : vol. 1972/73, exposés 418-435, Séminaire Bourbaki, no. 15 (1974), Exposé no. 418, 33 p.
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Cartier, Pierre. Problèmes mathématiques de la théorie quantique des champs II : prolongement analytique, dans Séminaire Bourbaki : vol. 1972/73, exposés 418-435, Séminaire Bourbaki, no. 15 (1974), Exposé no. 418, 33 p. http://archive.numdam.org/item/SB_1972-1973__15__1_0/

[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. | Numdam | MR | Zbl

[2] I.M. Gelfand and N.Ya. Vilenkin - Generalized functions, vol. 4, Academic Press, New York, 1964. | MR

[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] R. Jost - General theory of quantized fields, American Math. Society Publications, 1963. | MR | Zbl

[5] E. Nelson - Partial differential equations (D.C. SPENCER éditeur), p. 413-420, Amer. Math. Soc. Symposia vol. XXIII, Providence, 1973. | MR | Zbl

[6] E. Nelson - Time-ordered operator products of sharp-time quadratic forms, Journ. Funct. Anal., 11 (1972), p. 211-219. | MR | Zbl

[7] E. Nelson - Construction of quantum fields from Markoff fields, Journ. Funct. Anal., 12 (1973), p. 97-112. | MR | Zbl

[8] E. Nelson - The free Markov field, Journ. Funct. Anal., idem, p. 211-227. | MR | Zbl

[9] D. Ruelle - Connection between Wightman functions and Green functions in p-space, Nuovo Cimento (10), 19 (1961), p. 356-376. | MR | Zbl

[10] J. Schwinger - On the Euclidean structure of relativistic field theory, Proc. Nat. Acad. Sci. USA, 44 (1958), p. 956-965. | MR | Zbl

[11] J. Schwinger - Euclidean quantum electodynamics, Phys. Rev. 115 (1959), p. 721-731. | MR | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[14] B. Simon - On the Glimm-Jaffe linear bound in P(Φ)2 field theories, Journ. Funct. Anal., 10 (1972), p. 251-258.

[15] R. Streater and A. Wightman - PCT, spin, statistics and all that, Benjamin, New York, 1964. | MR | Zbl

[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. | MR

[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. | MR

[18] K. Symanzik - Euclidean quantum field theory, in Rendiconti della Scuola Internazionale di Fisica "E. FERMI", XLV Corso, p. 152-226.

[OS] K. Osterwalder et R. Schrader, Axioms for Euclidean Green's functions, Comm. Math. Phys. 31 (1973), p. 83-112. | MR | Zbl