Analyticité et sommabilité «de Borel» des fonctions de Schwinger du modèle de Yukawa en dimension d = 2 . II. La «limite adiabatique»

Pierre Renouard

Annales de l'I.H.P. Physique théorique (1979)

  • Volume: 31, Issue: 3, page 235-318
  • ISSN: 0246-0211

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Renouard, Pierre. "Analyticité et sommabilité «de Borel» des fonctions de Schwinger du modèle de Yukawa en dimension $d = 2$. II. La «limite adiabatique»." Annales de l'I.H.P. Physique théorique 31.3 (1979): 235-318. <http://eudml.org/doc/76050>.

@article{Renouard1979,
author = {Renouard, Pierre},
journal = {Annales de l'I.H.P. Physique théorique},
language = {fre},
number = {3},
pages = {235-318},
publisher = {Gauthier-Villars},
title = {Analyticité et sommabilité «de Borel» des fonctions de Schwinger du modèle de Yukawa en dimension $d = 2$. II. La «limite adiabatique»},
url = {http://eudml.org/doc/76050},
volume = {31},
year = {1979},
}

TY - JOUR
AU - Renouard, Pierre
TI - Analyticité et sommabilité «de Borel» des fonctions de Schwinger du modèle de Yukawa en dimension $d = 2$. II. La «limite adiabatique»
JO - Annales de l'I.H.P. Physique théorique
PY - 1979
PB - Gauthier-Villars
VL - 31
IS - 3
SP - 235
EP - 318
LA - fre
UR - http://eudml.org/doc/76050
ER -

References

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  1. [1] A. Cooper, L. Rosen, The weakly coupled Yukawa2 field theory, cluster expansion and Wightman axioms, TAMS, t. 234, 1977, p. 1-88. MR468872
  2. [2] M. Duneau, D. Iagolnitzer, B. Souillard, Strong cluster properties for classical systems with finite range interaction, CMP, t. 35, 1974, p. 307-320. MR337230
  3. [3] J.P. Eckmann, J. Magnen, R. Sénéor, Decay properties and Borel summability for the Schwinger functions in P(Φ)2 theories, CMP, t. 39, 1975, p. 251-271. MR366266
  4. [4] J. Glimm, A. Jaffe, T. Spencer, The particle structure of the weakly coupled P(Φ)2 model... Part II, the cluster expansion (Erice 1973) in Lecture Notes in Physics, t. 25, Springer, 1973, p. 199-242. MR395513
  5. [5] J. Glimm, A. Jaffe, T. Spencer, The Wightman axions and particle structure in the P(Φ)2 quantum field model, Ann. of Math., t. 100, 1974, p. 585. MR363256
  6. [6] G.H. Hardy, Divergent series, Oxford Univ. Press, 1973. MR30620
  7. [7] T. Kato, Perturbation theory for linear operators, Springer, 1966. Zbl0148.12601
  8. [8] J. Magnen, R. Sénéor, The Wightman axioms for the weakly coupled Yukawa model in two dimensions, CMP, t. 51, 1976, p. 297-313. MR434224
  9. [9] K. Osterwalder, R. Schrader, Axioms for euclidan Green's functions, CMP, t. 31, 1973, p. 83; CMP, t. 42, 1975, p. 281. Zbl0274.46047
  10. [10] P. Renouard, Analyticité et sommabilité « de Borel » des fonctions de Schwinger de modèle de Yukawa en dimension d = 2. I. - Approximation « à volume fini », Ann. IHP, t. 27, 1977, p. 237-277. MR479176
  11. [11] E. Seiler, Schwinger functions for the Yukawa model in two dimensions with space time cut-off, CMP, t. 42, 1975, p. 163. MR376022
  12. [12] E. Seiler, B. Simon, Bounds in the Yukawa2 quantum field theory..., CMP, t. 45, 1975, p. 99. MR413886
  13. [13] T. Spencer, The decay of the Bethe-Salpeter kernel in P(Φ)2 quantum field models, CMP, t. 44, 1975, p. 143-164. MR389080

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