The role of locality in perturbation theory
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 19 (1973) no. 3, pp. 211-295.
@article{AIHPA_1973__19_3_211_0,
     author = {Epstein, H. and Glaser, V.},
     title = {The role of locality in perturbation theory},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {211--295},
     publisher = {Gauthier-Villars},
     volume = {19},
     number = {3},
     year = {1973},
     mrnumber = {342091},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1973__19_3_211_0/}
}
TY  - JOUR
AU  - Epstein, H.
AU  - Glaser, V.
TI  - The role of locality in perturbation theory
JO  - Annales de l'institut Henri Poincaré. Section A, Physique Théorique
PY  - 1973
SP  - 211
EP  - 295
VL  - 19
IS  - 3
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1973__19_3_211_0/
LA  - en
ID  - AIHPA_1973__19_3_211_0
ER  - 
%0 Journal Article
%A Epstein, H.
%A Glaser, V.
%T The role of locality in perturbation theory
%J Annales de l'institut Henri Poincaré. Section A, Physique Théorique
%D 1973
%P 211-295
%V 19
%N 3
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1973__19_3_211_0/
%G en
%F AIHPA_1973__19_3_211_0
Epstein, H.; Glaser, V. The role of locality in perturbation theory. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 19 (1973) no. 3, pp. 211-295. http://archive.numdam.org/item/AIHPA_1973__19_3_211_0/

[1] Quantum Electrodynamics, edited by J. SCHWINGER, New York, Dover.

[2] E.C.G. Stueckelberg, Phys. Rev., t. 81, 1951, p. 130. | MR | Zbl

[3] E.C.G. Stueckelberg and D. Rivier, Helv. Phys. Acta, t. 23, 1949, p. 216. | Zbl

[4] A. Salam, Phys. Rev., t. 82, 1951, p. 217 et t. 84, 1951, p. 426. | MR | Zbl

[5] N.N. Bogoliusov and O.S. Parasiuk, Acta Math., t. 97, 1957, p. 227. | MR | Zbl

[6] N.N. Bogoliubov and D.V. Shirkov, Introduction to the Theory of Quantized Fields, New York, Interscience, 1959. | MR | Zbl

[7] K. Hepp, Commun. Math. Phys., t. 2, 1966, p. 301. | Zbl

[8] K. Hepp, Théorie de la renormalisation (Lecture Notes in Physics 2, Springer-Verlag, Berlin, 1969). | MR

[9] K. Hepp, in : Statistical Mechanics and Quantum Field Theory, C. de Witt and R. Stora eds., New York, Gordon and Breach, 1971. | Zbl

[10] E. Speer, Generalized Feynmann Amplitudes (Ann. Math. Studies, Princeton University Press, Princeton, 1969). | MR | Zbl

[11] W. Zimmermann, Commun. Math. Phys., t. 15, 1969, p. 208. | MR | Zbl

[12] K. Nishijima, Phys. Rev., t. 119, 1960, p. 485 et t. 124, 1961, p. 255. | MR | Zbl

[13] M. Muraskin and K. Nishijima, Phys. Rev., t. 122, 1961, p. 331. | MR | Zbl

[14] O. Steinmann, Ann. Phys., t. 29, 1964, p. 76 et t. 36, 1966, p. 267. | MR | Zbl

[15] H. Epstein and V. Glaser, prépublications de la R. C. P. No 25, vol. II (Secrétariat du Département de Mathématiques, 7, rue René-Descartes, Strasbourg), and reprinted in the Proceedings of the 1970 Summer School of les Houches, (see [9]).

[16] H. Epstein and V. Glaser, Proceedings of the Informal Meeting on Renormalization Theory, 1969, ICTP Trieste IC/69/121.

[17] N.N. Bogoliubov, B.V. Medredev, M.K. Polivanov, Voprossy Teorii Dispersionnykh Sootnoshenii, Moscow, Fizmatgiz, 1958.

[18] J. Schwinger, Proc. Nat. Acad. of Sciences, t. 37, 1951, p. 452 (reprinted in [1]). | MR | Zbl

[19] H. Epstein, Nuovo Cimento, t. 27, 1963, p. 886. B. Schroer (unpublished). | MR | Zbl

[20] B. Malgrange, Séminaire Schwartz No 21, 1959-1960. | Numdam

[21] L. Schwartz, Medd. Lunds Mat. Sem. (Suppl.), 1952, p. 196. | MR | Zbl

[22] F.J. Dyson, Phys. Rev., t. 75, 1949, p. 1736 (reprinted in [1]). | Zbl

[23] J.C. Polkinghorne, Nuovo Cimento, t. 4, 1956, p. 216 ; O. Steinmann, Helv. Phys. Acta, t. 33, 1960, p. 257 et 347 ; D. Ruelle, Nuovo Cimento, t. 19, 1961, p. 356; | MR

H. Araki and N. Burgoyne, Ibid., t. 8, 1960, p. 342 ; H. Araki, J. Math. Phys., t. 2, 1961, p. 163. | MR

[24] J. Bros, Thesis, Paris, 1970; also Prépublications de la R. C. P. No. 25, Strasbourg, vol. 8.

[25] H. Epstein, V. Glaser and R. Stora, The Geometry of the N-point Function in Quantum Field Theory, Proc. of the 1973, Nice Meeting on Hyperfunctions, to appear; J. Bros, H. Epstein, V. Glaser, and R. Stora, to appear.

[26] K. Hepp, Commun. Math. Phys., t. 1, 1965, p. 95 ; also Axiomatic Field Theory, CHRÉ- TIEN and DESER, Eds., Gordon and Breach, New York, 1966. | Zbl

[27] K. Symanzik, Commun. Math. Phys., t. 16, 1970, p. 48. | MR

[28] H. Epstein and V. Glaser, Contribution to the meeting on Renormalization theory, CNRS, Marseille, June 1971; CERN preprint TH 1344.