Feynman diagrams and large order estimates for the exponential anharmonic oscillator
Annales de l'I.H.P. Physique théorique, Tome 46 (1987) no. 2, pp. 155-173. 
@article{AIHPA_1987__46_2_155_0,
     author = {Breen, Stephen},
     title = {Feynman diagrams and large order estimates for the exponential anharmonic oscillator},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {155--173},
     publisher = {Gauthier-Villars},
     volume = {46},
     number = {2},
     year = {1987},
     mrnumber = {887145},
     zbl = {0623.28010},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1987__46_2_155_0/}
}
TY  - JOUR
AU  - Breen, Stephen
TI  - Feynman diagrams and large order estimates for the exponential anharmonic oscillator
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1987
SP  - 155
EP  - 173
VL  - 46
IS  - 2
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1987__46_2_155_0/
LA  - en
ID  - AIHPA_1987__46_2_155_0
ER  - 
%0 Journal Article
%A Breen, Stephen
%T Feynman diagrams and large order estimates for the exponential anharmonic oscillator
%J Annales de l'I.H.P. Physique théorique
%D 1987
%P 155-173
%V 46
%N 2
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1987__46_2_155_0/
%G en
%F AIHPA_1987__46_2_155_0
Breen, Stephen. Feynman diagrams and large order estimates for the exponential anharmonic oscillator. Annales de l'I.H.P. Physique théorique, Tome 46 (1987) no. 2, pp. 155-173. http://archive.numdam.org/item/AIHPA_1987__46_2_155_0/

[1] V. Grecchi and M. Maioli, Borel summability beyond the factorial growth. Ann. Inst. H. Poincaré, Sect. A., t. 41, 1984, p. 37. | Numdam | MR | Zbl

[2] V. Grecchi and M. Maioli, Generalized logarithmic Borel summability. J. Math. Phys., t. 25, 1984, p. 3439-3443. | MR | Zbl

[3] E. Caliceti, V. Grecchi, S. Levoni and M. Maioli, The exponential anharmonic oscillator and the Stieltjes continued fraction, preprint. | MR

[4] M. Maioli, Exponential perturbations of the harmonic oscillator. J. Math. Phys., t. 22, 1981, p. 1952-1958. | MR | Zbl

[5] A. Sokal, An improvement of Watson's theorem on Borel summability. J. Math. Phys., t. 21, 1980, p. 261-263. | MR | Zbl

[6] M. Reed and B. Simon, Methods of modern mathematical physics. Vol. IV, New York, Academic Press, 1975. | Zbl

[7] T. Spencer, The Lipatov argument. Commun. Math. Phys., t. 74, 1980, p. 273-280. | MR

[8] S. Breen, Leading large order asymptotics for (φ4)2 perturbation theory. Commun. Math. Phys., t. 92, 1983, p. 179-194. | MR | Zbl

[9] S. Breen, Large order perturbation theory for the anharmonic oscillator. Mem. Amer. Math. Soc., to appear.

[10] J. Magnen and V. Rivasseau, The Lipatov argument for φ43 perturbation theory. Commun. Math. Phys., t. 102, 1985, p. 59-88. | MR

[11] A. Dolgov and V. Popov, Modified perturbation theories for an anharmonic oscillator. Phys. Lett., B., t. 79, 1978, p. 403-405.

[12] B. Simon, Functional integration and quantum physics, New York. Academic Press, 1979. | MR | Zbl

[13] B. Simon, The P (φ)2 Euclidean (quantum) field theory. Princeton, Princeton University Press, 1974. | MR

[14] F. Guerra, L. Rosen, and B. Simon, Boundary conditions in the P(φ)2 Euclidean field theory. Ann. Inst. H. Poincaré, Sect. A, t. 25, 1976, p. 231-334. | Numdam | MR

[15] B. Simon, Large orders and summability of eigenvalue perturbation theory: a mathematical overview. Int. J. Q. Chem., t. 21, 1982, p. 3-25.