Asymptotic perturbation expansion for the S-matrix and the definition of time ordered functions in relativistic quantum field models
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 25 (1976) no. 1, pp. 1-34.
@article{AIHPA_1976__25_1_1_0,
     author = {Eckmann, J.-P. and Epstein, H. and Fr\"ohlich, J.},
     title = {Asymptotic perturbation expansion for the {S-matrix} and the definition of time ordered functions in relativistic quantum field models},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {1--34},
     publisher = {Gauthier-Villars},
     volume = {25},
     number = {1},
     year = {1976},
     mrnumber = {418716},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1976__25_1_1_0/}
}
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Eckmann, J.-P.; Epstein, H.; Fröhlich, J. Asymptotic perturbation expansion for the S-matrix and the definition of time ordered functions in relativistic quantum field models. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 25 (1976) no. 1, pp. 1-34. http://archive.numdam.org/item/AIHPA_1976__25_1_1_0/

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.

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. | MR

D1 J. Dimock, Asymptotic perturbation expansion in the P(Φ)2 quantum field theory. Commun. math. Phys., t. 35, 1974, p. 347. | MR

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. | MR

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. | Numdam | MR

F J. Fröhlich, Schwinger functions and their generating functionals, II, to appear in Adv. Math. | MR | Zbl

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.

G V. Glaser, On the equivalence of the Euclidean and Wightman formulation of field theory. Commun. math. Phys., t. 37, 1974, p. 257. | MR | Zbl

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. | MR

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. | MR

H.K. Hepp, On the connection between the LSZ and Wightman quantum field theory. Commun. Math. Phys., t. 1, 1965, p. 95. | MR | Zbl

Os K. Osterwalder, R. Schrader, Axioms for Euclidean Green's functions II. Commun. Math. Phys., t. 42, 1975, p. 281. | MR | Zbl

OS1 K. Osterwalder, R. Sénéor, The scattering matrix is non-trivial for weakly coupled P(Φ)2 models, to appear in Helv. Phys. Acta. | MR

R.D. Ruelle, Connection between Wightman functions and Green Functions in p-space. Il Nuovo Cimento, t. 19, 1961, p. 356. | MR | Zbl

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. | MR