Analyticité et sommabilité «de Borel» des fonctions de Schwinger du modèle de Yukawa en dimension d = 2 . I. Approximation «à volume fini»

Pierre Renouard

Annales de l'I.H.P. Physique théorique (1977)

  • Volume: 27, Issue: 3, page 237-277
  • ISSN: 0246-0211

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Renouard, Pierre. "Analyticité et sommabilité «de Borel» des fonctions de Schwinger du modèle de Yukawa en dimension $d = 2$. I. Approximation «à volume fini»." Annales de l'I.H.P. Physique théorique 27.3 (1977): 237-277. <http://eudml.org/doc/75960>.

@article{Renouard1977,
author = {Renouard, Pierre},
journal = {Annales de l'I.H.P. Physique théorique},
language = {fre},
number = {3},
pages = {237-277},
publisher = {Gauthier-Villars},
title = {Analyticité et sommabilité «de Borel» des fonctions de Schwinger du modèle de Yukawa en dimension $d = 2$. I. Approximation «à volume fini»},
url = {http://eudml.org/doc/75960},
volume = {27},
year = {1977},
}

TY - JOUR
AU - Renouard, Pierre
TI - Analyticité et sommabilité «de Borel» des fonctions de Schwinger du modèle de Yukawa en dimension $d = 2$. I. Approximation «à volume fini»
JO - Annales de l'I.H.P. Physique théorique
PY - 1977
PB - Gauthier-Villars
VL - 27
IS - 3
SP - 237
EP - 277
LA - fre
UR - http://eudml.org/doc/75960
ER -

References

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  1. [1] E. Seiler, Schwinger functions for the Yukawa model in two dimensions with space time cut-off, CMP, t. 42, 1975, p. 163. MR376022
  2. [2] E. Seiler, B. Simon, On finite mass renormalization in the two dimensional Yukawa model, JMP, t. 16, 1975, p. 2289. MR403484
  3. [3] J. Magnen, R. Seneor, The Wightman axioms for the weakly coupled Yukawa model in two dimensions, ZIF univ. preprint. MR434224
  4. [4] A. Cooper, L. Rosen, The weakly coupled Yukawa2 field theory : cluster expension and Whightman axioms, Toronto univ. preprint. 
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  7. [7] K. Osterwalder, R. Schrader, Axioms for Euclidean Green's functions, CMP, t. 31, 1973, p. 83, CMP, t. 42, 1975, p. 281. Zbl0274.46047
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  13. [13] T. Kato, Perturbation theory for linear operators. Springer, 1966. Zbl0148.12601MR203473
  14. [14] O. Mcbryan, Volume dependance of Schwinger functions in the Yukawa2 quantum field theory, CMP, t. 45, 1975, p. 279. MR389075
  15. [15] J. Dimock, Asymptotic perturbation expansion in the P(φ)2 quantum field theory, CMP, t. 35, 1974, p. 347. MR334756
  16. [16] J.P. Eckmann, J. Magnen, R. Seneor, Decay properties and Borel summability for the Schwinger functions in P(φ)2 theories, CMP, t. 39, 1975, p. 251. MR366266
  17. [17] J. Magnen, R. Seneor, La sommabilité de Borel de la série des perturbations du modèle φ43 euclidien, in J. Magnen, thèse, Orsay, 1976. 
  18. [18] M. Schreiber, Fermeture en probabilité de certains sous-espaces d'un espace L2, Wahrscheinlichkeitstheorie Verw., t. 14, 1969, p. 14. Zbl0186.49803MR413290

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