Existence of an instanton singularity in ϕ 3 4 . Euclidean field theory
Annales de l'I.H.P. Physique théorique, Volume 44 (1986) no. 4, pp. 427-442.
@article{AIHPA_1986__44_4_427_0,
     author = {Feldman, Joel and Rivasseau, Vincent},
     title = {Existence of an instanton singularity in $\phi ^4_{\;3}$. {Euclidean} field theory},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {427--442},
     publisher = {Gauthier-Villars},
     volume = {44},
     number = {4},
     year = {1986},
     zbl = {0606.41044},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1986__44_4_427_0/}
}
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Feldman, Joel; Rivasseau, Vincent. Existence of an instanton singularity in $\phi ^4_{\;3}$. Euclidean field theory. Annales de l'I.H.P. Physique théorique, Volume 44 (1986) no. 4, pp. 427-442. http://archive.numdam.org/item/AIHPA_1986__44_4_427_0/

[1] J. Magnen and V. Rivasseau, The Lipatov argument for Φ43 perturbation theory, to appear in Comm. Math. Phys., 1985. | MR

[2] L. Lipatov, Sov. Phys. JETP, t. 44, 1976, p. 1055 and t. 45, 1977, p. 216. | MR

[3] E. Brezin, J.C. Le Guillou and J. Zinn-Justin, Phys. Rev., t. D 15, 1977, p. 1544.

[4] G. 'T Hooft, in The Whys of subnuclear physics, Erice, 1977, A. Zichichi ed., Plenum Press, New York and London, 1979.

[5] T. Spencer, Comm. Math. Phys., t. 74, 1980, p. 273. | MR

[6] S. Breen, Comm. Math. Phys., t. 92, 1983, p. 179. | MR | Zbl

[7] G. Parisi, Phys. Rep., t. 49, 1979, p. 215.

[8] M. Aizenman, Comm. Math. Phys., t. 86, 1982, p. 1. | MR | Zbl

[9] J. Fröhlich, Nucl. Phys., t. B 200 (FS4), 1982, p. 281. | MR

[10] G. Gallavotti, V. Rivasseau, Ann. Inst. H. Poincaré, t. 40, 1984, p. 185. | Numdam | MR

[11] J. Magnen, F. Nicolo, V. Rivasseau and R. Sénéor, A Lipatov boundfor convergent graphs of Φ44, preprint École Polytechnique, 1985.

[12] J. Feldman, J. Magnen, V. Rivasseau and R. Sénéor, Comm. Math. Phys., t. 103, 1986, p. 67. | MR | Zbl

[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[14] J. Feldman and V. Rivasseau, unpublished.

[15] C. De Calan and V. Rivasseau, Comm. Math. Phys., t. 82, 1981, p. 69. | MR

[16] C. De Calan and V. Rivasseau, Comm. Math. Phys., t. 83, 1982, p. 77. | MR

[17] J. Feldman, J. Magnen, V. Rivasseau and R. Sénéor, Comm. Math. Phys., t. 98, 1985, p. 273. | MR

[18] H.J. Brascamp, E.H. Lieb and J.M. Luttinger, Journ. of Func. Anal., t. 17, 1979, p. 227. | MR | Zbl

[19] W. Strauss, Comm. Math. Phys., t. 55, 1977, p. 149. | MR | Zbl

[20] R. Adams, Sobolev spaces, Academic Press, New York, London, 1975. | MR | Zbl

[21] K. Yosida, Functional Analysis, Springer, Berlin, Heidelberg, New York, 1968. | MR

[22] M. Berger, Journ. of Func. Anal., t. 9, 1972, p. 249. | Zbl