Asymptotic perturbation expansion for the S-matrix and the definition of time ordered functions in relativistic quantum field models

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1. BEG J. Bros, H. Epstein, V. Glaser, Local analyticity properties of the n-particle scattering amplitude. Helv. Phys. Acta, t. 45, 1972, p. 149. Vol. XXV, n° 1 - 1976. 
2. BEGS J. Bros, H. Epstein, V. Glaser, R. Stora, n-point functions in local quantum field theory, to appear in proceedings Les Houches Summer Institute, D. Iagolnitzer ed., 1975. MR419831
3. D1 J. Dimock, Asymptotic perturbation expansion in the P(Φ)2 quantum field theory. Commun. math. Phys., t. 35, 1974, p. 347. MR334756
4. D2 J. Dimock, The P(Φ)2 Green's functions. Smoothness in the coupling constant, to appear in Adv. Phys. and Asymptotic perturbation expansion, to appear in Helv. Phys. Acta. MR403476
5. EG H. Epstein, V. Glaser, Le rôle de la localité dans la renormalisation perturbative en théorie quantique des champs, in Statistical Mechanics and Quantum Field Theory, C. de Witt and R. Stora Eds, Gordon and Breach, 1971. The role of locality in perturbation theory. Ann. Inst. Henri Poincaré, t. 19, 1973, p. 211. MR342091
6. F J. Fröhlich, Schwinger functions and their generating functionals, II, to appear in Adv. Math. Zbl0345.46058MR436830
7. FS J. Fröhlich, Lectures delivered at the « International School of Mathematical Physics », Erice, 1975. J. Fröhlich and E. Seiler, to appear in Helv. Phys. Acta. 
8. G V. Glaser, On the equivalence of the Euclidean and Wightman formulation of field theory. Commun. math. Phys., t. 37, 1974, p. 257. Zbl0295.46064MR353859
9. GJS1 J. Glimm, A. Jaffe, T. Spencer, The particle structure of the weakly coupled P(Φ)2 model and other applications of high temperature expansions, in Constructive Quantum Field Theory, G. Velo, A. Wightman Eds, Springer Lecture Notes in Physics, Vol. 25, Berlin, Heidelberg, New York, 1973. MR395513
10. GJS2 J. Glimm, A. Jaffe, T. Spencer, The Wightman axioms and particle structure in the P(Φ)2 quantum field model. Ann. Math., t. 100, 1974, p. 585. MR363256
11. H.K. Hepp, On the connection between the LSZ and Wightman quantum field theory. Commun. Math. Phys., t. 1, 1965, p. 95. Zbl0128.45801MR181277
12. Os K. Osterwalder, R. Schrader, Axioms for Euclidean Green's functions II. Commun. Math. Phys., t. 42, 1975, p. 281. Zbl0303.46034MR376002
13. OS1 K. Osterwalder, R. Sénéor, The scattering matrix is non-trivial for weakly coupled P(Φ)2 models, to appear in Helv. Phys. Acta. MR411461
14. R.D. Ruelle, Connection between Wightman functions and Green Functions in p-space. Il Nuovo Cimento, t. 19, 1961, p. 356. Zbl0097.43003MR121152
15. S.T. Spencer, The decay of the Bethe-Salpeter kernel in P(Φ)2 quantum field models. Commun. math. Phys., t. 44, 1975, p. 143. MR389080

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