Two-particle structure and renormalization

J. Bros; B. Ducomet

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

  • Volume: 45, Issue: 2, page 173-230
  • ISSN: 0246-0211

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Bros, J., and Ducomet, B.. "Two-particle structure and renormalization." Annales de l'I.H.P. Physique théorique 45.2 (1986): 173-230. <http://eudml.org/doc/76335>.

@article{Bros1986,
author = {Bros, J., Ducomet, B.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {renormalized forms; Bethe-Salpeter equation; two-particle structure equations; Green functions; Gross-Neveu model; asymptotic properties; Wilson-Zimmermann expansion; complex momentum space},
language = {eng},
number = {2},
pages = {173-230},
publisher = {Gauthier-Villars},
title = {Two-particle structure and renormalization},
url = {http://eudml.org/doc/76335},
volume = {45},
year = {1986},
}

TY - JOUR
AU - Bros, J.
AU - Ducomet, B.
TI - Two-particle structure and renormalization
JO - Annales de l'I.H.P. Physique théorique
PY - 1986
PB - Gauthier-Villars
VL - 45
IS - 2
SP - 173
EP - 230
LA - eng
KW - renormalized forms; Bethe-Salpeter equation; two-particle structure equations; Green functions; Gross-Neveu model; asymptotic properties; Wilson-Zimmermann expansion; complex momentum space
UR - http://eudml.org/doc/76335
ER -

References

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  2. [2a] J. Bros, in Analytic Methods in Mathematical Physics, Gilbert, Newton eds., p. 85, New York: Gordon and Breach, 1970. Zbl0196.28102MR395553
  3. [2b] J. Bros, M. Lassalle, Commun. Math. Phys., t. 54, 1977, p. 33. MR468766
  4. [2c] J. Bros, in Acta Physica Austriaca, Suppl. XXII, Springer, 1981, p. 329. MR665759
  5. [2d] J. Bros, D. Iagolnitzer, Commun. Math. Phys., t. 85, 1982, p. 197. Zbl0508.58042MR675999
  6. [3] J. Bros, Physica, t. 124 A, 1984, p. 145, North Holland, Amsterdam. MR759175
  7. [4a] K. Symanzik, Commun. Math. Phys., t. 23, 1971, p. 49. Zbl0253.42016
  8. [4b] K. Symanzik, Commun. Math. Phys., t. 34, 1973, p. 7. 
  9. [5] D. Iagolnitzer, The S-Matrix Theory, North Holland, Amsterdam, 1978. MR503904
  10. [6] W. Zimmermann, in Lectures on Elementary Particles and Quantum Field Theory, 1970, Brandeis Summer Institute, Eds. Deser, Grisaru, Pendleton: Cambridge Mass, MIT Press, 1971; W. Zimmermann, Ann. Phys. (N. Y.), t. 77, 1973, p. 536. 
  11. [7] J. Feldman, J. Magnen, V. Rivasseau and R. Seneor, Phys. Rev. Lett., t. 54, 1985, p. 1479 and A Renormalizable Field Theory: the massive Gross-Neveu model in two-dimensions. Preprint École Polytechnique, Palaiseau, A667.05.85. Zbl0594.58060MR787776
  12. [8] L.D. Landau, A.A. Abrikosov and I.M. Khalatnikov, Doklady Akad. Nauk SSSR, t. 95, 1954, p. 1177. Zbl0059.22001
  13. [9] J. Bros, M. Manolessou-Grammaticou, Commun. Math. Phys., t. 72, 1980, p. 175 and p. 207. 
  14. [10] J. Bros, B. Ducomet, in preparation. 
  15. [11] D. Iagolnitzer, Commun. Math. Phys., t. 99, 1985, p. 451, and Irreducibility and Asymptotic Completeness in Renormalizable Theories : some remarks, to be published in Fizika, Special issue dedicated to the memory of V. Glaser. MR795113
  16. [12] T. Spencer, Commun. Math. Phys., t. 44, 1975, p. 143. 
  17. [13] T. Spencer, F. Zirilli, Commun. Math. Phys., t. 49, 1976, p. 1. MR413888
  18. [14] M. Lassalle, Commun. Math. Phys., t. 36, 1974, p. 185. MR347265
  19. [15] W. Zimmermann, Commun. Math. Phys., t. 15, 1969, p. 208. Zbl0192.61203MR255162
  20. [16] B. Ducomet, M. Manolessou, Ann. Inst. H. Poincaré, t. 40, 1984, p. 389. Zbl0563.46043MR757764
  21. [17] S. Weinberg, Phys. Rev., t. 118, 1960, p. 838. Zbl0098.20403MR116953
  22. [18a] D. Ruelle, Nuovo Cim., t. 19, 1961, p. 356. Zbl0097.43003MR121152
  23. [18b] H. Araki, J. Math. Phys., t. 2, 1961, p. 163. 
  24. [19a] J. Bros, in High Energy Physics and Elementary Particles, p. 88, Vienna: I. A. E. A., 1965. MR210406
  25. [19b] H. Epstein, in Axiomatic Field Theory, Chretien and Deser eds., p. 3, New York: Gordon and Breach, 1966. 
  26. [19c] H. Epstein, V. Glaser and R. Stora, in Structural Analysis of Collision Amplitudes, R. Balian, D. Iagolnitzer (eds.), p. 5, Amsterdam, North Holland, 1976. MR468697

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