Conservation of axiomatic field theory properties by the G-convolution associated with simple graphs and the Φ 4 4 equations of motion

M. Manolessou; B. Ducomet

Annales de l'I.H.P. Physique théorique (1984)

  • Volume: 40, Issue: 4, page 389-415
  • ISSN: 0246-0211

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Manolessou, M., and 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 40.4 (1984): 389-415. <http://eudml.org/doc/76243>.

@article{Manolessou1984,
author = {Manolessou, M., Ducomet, B.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {axiomatic field theory; renormalized G-convolution product; simple graphs with two generalized vertices; iterative integration},
language = {eng},
number = {4},
pages = {389-415},
publisher = {Gauthier-Villars},
title = {Conservation of axiomatic field theory properties by the G-convolution associated with simple graphs and the $\Phi ^4_4$ equations of motion},
url = {http://eudml.org/doc/76243},
volume = {40},
year = {1984},
}

TY - JOUR
AU - Manolessou, M.
AU - Ducomet, B.
TI - Conservation of axiomatic field theory properties by the G-convolution associated with simple graphs and the $\Phi ^4_4$ equations of motion
JO - Annales de l'I.H.P. Physique théorique
PY - 1984
PB - Gauthier-Villars
VL - 40
IS - 4
SP - 389
EP - 415
LA - eng
KW - axiomatic field theory; renormalized G-convolution product; simple graphs with two generalized vertices; iterative integration
UR - http://eudml.org/doc/76243
ER -

References

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  1. [1] M. Manolessou-Grammaticou, Renormalized normal product and equations of motion of Φ4-coupling. Preprint, Bielefeld, 1982. MR738678
  2. [2] J. Bros, M. Manolessou-Grammaticou, Commun. Math. Phys., t. 72, 1980, p. 175-205 ; Commun. Math. Phys., t. 72, 1980, p. 207-237. MR573703
  3. [3] J. Bros, Thèse. In Analytic Methods in Mathematical Physics, Newton Ed., Gordon and Breach, 1970. MR395553
  4. [4] M. Lassalle, Commun. Math. Phys., t. 36, 1974, p. 185-226. MR347265
  5. [5] M. Manolessou-Grammaticou, Ann. Phys., t. 122, 1979, p. 297-320. MR551238
  6. [6] W. Zimmermann, Commun. Math. Phys., t. 15, 1969, p. 208-234. Zbl0192.61203MR255162
  7. [7] W. Zimmermann, Commun. Math. Phys., t. 11, 1968, p. 1-8. MR237150
  8. [8] H. Epstein, V. Glaser, Rep. TH1400 CERN, 1971. 
  9. [9] H. Epstein, V. Glaser, Ann. I. H. P., t. 19, 1973, p. 211-295. MR342091
  10. [10] M. Manolessou-Grammaticou, Thesis, Orsay, 1977. 
  11. [11] S. Weinberg, Phys. Rev., t. 118, 1960, p. 838-849. Zbl0098.20403MR116953
  12. [12] B. Ducomet, Logarithmic asymptotic behaviour of the renormalized G-convolution product in 4-dimensional euclidean space. (To appear). Zbl0557.46043

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