Existence of an instanton singularity in φ 4 3 . Euclidean field theory

Joel Feldman; Vincent Rivasseau

Annales de l'I.H.P. Physique théorique (1986)

  • Volume: 44, Issue: 4, page 427-442
  • ISSN: 0246-0211

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Feldman, Joel, and Rivasseau, Vincent. "Existence of an instanton singularity in $\phi ^4_\;3$. Euclidean field theory." Annales de l'I.H.P. Physique théorique 44.4 (1986): 427-442. <http://eudml.org/doc/76326>.

@article{Feldman1986,
author = {Feldman, Joel, Rivasseau, Vincent},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Lipatov analysis; Borel singularities},
language = {eng},
number = {4},
pages = {427-442},
publisher = {Gauthier-Villars},
title = {Existence of an instanton singularity in $\phi ^4_\;3$. Euclidean field theory},
url = {http://eudml.org/doc/76326},
volume = {44},
year = {1986},
}

TY - JOUR
AU - Feldman, Joel
AU - Rivasseau, Vincent
TI - Existence of an instanton singularity in $\phi ^4_\;3$. Euclidean field theory
JO - Annales de l'I.H.P. Physique théorique
PY - 1986
PB - Gauthier-Villars
VL - 44
IS - 4
SP - 427
EP - 442
LA - eng
KW - Lipatov analysis; Borel singularities
UR - http://eudml.org/doc/76326
ER -

References

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  1. [1] J. Magnen and V. Rivasseau, The Lipatov argument for Φ43 perturbation theory, to appear in Comm. Math. Phys., 1985. MR817288
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  11. [11] J. Magnen, F. Nicolo, V. Rivasseau and R. Sénéor, A Lipatov boundfor convergent graphs of Φ44, preprint École Polytechnique, 1985. 
  12. [12] J. Feldman, J. Magnen, V. Rivasseau and R. Sénéor, Comm. Math. Phys., t. 103, 1986, p. 67. Zbl0594.58060MR826858
  13. [13] J. Feldman, J. Magnen, V. Rivasseau and R. Sénéor, Construction and Borel Summability of infrared Φ44 by a phase space expansion, preprint École Polytechnique, 1986. 
  14. [14] J. Feldman and V. Rivasseau, unpublished. 
  15. [15] C. De Calan and V. Rivasseau, Comm. Math. Phys., t. 82, 1981, p. 69. MR638514
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  17. [17] J. Feldman, J. Magnen, V. Rivasseau and R. Sénéor, Comm. Math. Phys., t. 98, 1985, p. 273. MR786579
  18. [18] H.J. Brascamp, E.H. Lieb and J.M. Luttinger, Journ. of Func. Anal., t. 17, 1979, p. 227. Zbl0286.26005MR346109
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  20. [20] R. Adams, Sobolev spaces, Academic Press, New York, London, 1975. Zbl0314.46030MR450957
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  22. [22] M. Berger, Journ. of Func. Anal., t. 9, 1972, p. 249. Zbl0224.35061

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