The infinite volume limit of the ϕ 3 4 model

J. Magnen; R. Seneor

Annales de l'I.H.P. Physique théorique (1976)

  • Volume: 24, Issue: 2, page 95-159
  • ISSN: 0246-0211

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Magnen, J., and Seneor, R.. "The infinite volume limit of the $\varphi ^4_3$ model." Annales de l'I.H.P. Physique théorique 24.2 (1976): 95-159. <http://eudml.org/doc/75894>.

@article{Magnen1976,
author = {Magnen, J., Seneor, R.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {2},
pages = {95-159},
publisher = {Gauthier-Villars},
title = {The infinite volume limit of the $\varphi ^4_3$ model},
url = {http://eudml.org/doc/75894},
volume = {24},
year = {1976},
}

TY - JOUR
AU - Magnen, J.
AU - Seneor, R.
TI - The infinite volume limit of the $\varphi ^4_3$ model
JO - Annales de l'I.H.P. Physique théorique
PY - 1976
PB - Gauthier-Villars
VL - 24
IS - 2
SP - 95
EP - 159
LA - eng
UR - http://eudml.org/doc/75894
ER -

References

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  1. [1] J. Glimm, A. Jaffe, T. Spencer, The particle structure of the weakly coupled P(φ)2 model and other applications of high temperature expansion (II). The cluster expansion. In Lectures notes in Physics, vol. 25, Berlin, Heidelberg, New York, Springer, 1973. MR395513
  2. [2] J.-P. Eckmann, J. Magnen, R. Seneor, Decay properties and Borel summability for the Schwinger functions in P(φ)2 theories. Comm. Math. Phys., vol. 39, n° 4, 1975, p. 251. MR366266
  3. [3] J. Glimm, A. Jaffe, Positivity of the φ43 Hamiltonian. Fortsch. Physik, t. 21, 1973, p. 327. MR408581
  4. [4] J. Feldman, The λφ43 field theory in a finite volume. Comm. Math. Phys., vol. 37, n° 2, 1974, p. 93 and Thesis, Harvard, 1974. MR384003
  5. [5] K. Osterwalder, R. Schrader, Axioms for Euclidean Green's functions, I. Comm. Math. Phys., vol. 31, 1973, p. 83 ; II. Preprint see also in Lectures notes in Physics, vol. 25, 1973, p. 71. Zbl0274.46047MR329492
  6. [6] J. Dimock, Asymptotic perturbation expansion in the P(φ)2 quantum field theory. Comm. Math. Phys., vol. 35, n° 4, 1974, p. 374. MR334756
  7. [7] T. Spencer, The P(φ)2 model with a strong external field, § 5. A correction. Comm. Math. Phys., vol. 39, n° 1, 1974, p. 74. 
  8. [8] J. Fröhlich, Schwinger functions and their generating functionals I. Helv. Phys. Acta, vol. 47, fasc. 3, 1974, p. 265. Zbl0345.46057MR436830
  9. [9] I.M. Guelfand, N.Y. Vilenkin, Les Distributions, IV., Paris, Dunod, 1967. Zbl0179.18502
  10. [10] J. Feldman, K. Osterwalder, The Wightman axioms and the mass gap for weakly coupled (φ4)3 quantum field theories [Harvard preprint. To be published in Annals of Physics]. MR672654

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