Conservation of axiomatic field theory properties by the G-convolution associated with simple graphs and the Φ 4 4 equations of motion
Manolessou, M. ; Ducomet, B.
Annales de l'I.H.P. Physique théorique, Tome 41 (1984), p. 389-415 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{AIHPA_1984__40_4_389_0,
     author = {Manolessou, M. and Ducomet, B.},
     title = {Conservation of axiomatic field theory properties by the G-convolution associated with simple graphs and the $\Phi ^4\_4$ equations of motion},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {41},
     year = {1984},
     pages = {389-415},
     zbl = {0563.46043},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1984__40_4_389_0}
}

Manolessou, M.; Ducomet, B. Conservation of axiomatic field theory properties by the G-convolution associated with simple graphs and the $\Phi ^4_4$ equations of motion. Annales de l'I.H.P. Physique théorique, Tome 41 (1984) pp. 389-415. http://gdmltest.u-ga.fr/item/AIHPA_1984__40_4_389_0/

[1] M. Manolessou-Grammaticou, Renormalized normal product and equations of motion of Φ4-coupling. Preprint, Bielefeld, 1982. | MR 738678

[2] J. Bros, M. Manolessou-Grammaticou, Commun. Math. Phys., t. 72, 1980, p. 175-205 ; Commun. Math. Phys., t. 72, 1980, p. 207-237. | MR 573703

[3] J. Bros, Thèse. In Analytic Methods in Mathematical Physics, Newton Ed., Gordon and Breach, 1970. | MR 395553

[4] M. Lassalle, Commun. Math. Phys., t. 36, 1974, p. 185-226. | MR 347265

[5] M. Manolessou-Grammaticou, Ann. Phys., t. 122, 1979, p. 297-320. | MR 551238

[6] W. Zimmermann, Commun. Math. Phys., t. 15, 1969, p. 208-234. | MR 255162 | Zbl 0192.61203

[7] W. Zimmermann, Commun. Math. Phys., t. 11, 1968, p. 1-8. | MR 237150

[8] H. Epstein, V. Glaser, Rep. TH1400 CERN, 1971.

[9] H. Epstein, V. Glaser, Ann. I. H. P., t. 19, 1973, p. 211-295. | Numdam | MR 342091

[10] M. Manolessou-Grammaticou, Thesis, Orsay, 1977.

[11] S. Weinberg, Phys. Rev., t. 118, 1960, p. 838-849. | MR 116953 | Zbl 0098.20403

[12] B. Ducomet, Logarithmic asymptotic behaviour of the renormalized G-convolution product in 4-dimensional euclidean space. (To appear). | Numdam | Zbl 0557.46043