Problèmes mathématiques de la théorie quantique des champs

Pierre Cartier

Séminaire Bourbaki (1970-1971)

  • Volume: 13, page 107-122
  • ISSN: 0303-1179

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Cartier, Pierre. "Problèmes mathématiques de la théorie quantique des champs." Séminaire Bourbaki 13 (1970-1971): 107-122. <http://eudml.org/doc/109789>.

@article{Cartier1970-1971,
author = {Cartier, Pierre},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {107-122},
publisher = {Springer-Verlag},
title = {Problèmes mathématiques de la théorie quantique des champs},
url = {http://eudml.org/doc/109789},
volume = {13},
year = {1970-1971},
}

TY - JOUR
AU - Cartier, Pierre
TI - Problèmes mathématiques de la théorie quantique des champs
JO - Séminaire Bourbaki
PY - 1970-1971
PB - Springer-Verlag
VL - 13
SP - 107
EP - 122
LA - fre
UR - http://eudml.org/doc/109789
ER -

References

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  1. [1] J.M. Cook - The mathematics of second quantization, Trans. Amer. Math. Soc., 74 (1953), p. 222-245. Zbl0052.22701MR53784
  2. [2] J. Glimm and A. Jaffe - Singular perturbations of self adjoint operators, Comm. Pure Appl. Math., 22 (1969), p. 401-414. Zbl0167.42804MR282243
  3. [3] J. Glimm and A. Jaffe - A λϕ4 quantum field theory without cutoffs : I, Phys. Rev., 176 (1968), p. 1945-1951 ; II, Annals of Maths, 91 (1970), p. 362-401 ; III, Acta Math., 125 (1970), p. 203-268. Zbl0177.28203
  4. [4] J. Glimm and A. Jaffe - Boson fields with non-linear self-interaction in two dimensions, Comm. Math. Phys., 8 (1968), p. 12-25. Zbl0173.29903
  5. [5] J. Glimm - Yukawa coupling of quantum fields in two dimensions, Comm. Math. Phys., 5 (1967), p. 343-386. Zbl0155.57001MR215585
  6. [6] B. Simon and R. Hoegh-Krohn - Hypercontractive semi-groups and two-dimensional self-coupled Bose fields, à paraître. 
  7. [7] E. Nelson - A quartic interaction in two dimensions, in Mathematical theory of Elementary Particules, R. Goodman et I. Segal, editors, MIT Press, Cambridge1966. MR210416
  8. [8] I. Segal - Foundations of the theory of dynamical systems of infinitely many degrees of freedom, Mat.-Fys. Medd. Kong. Danske Vides. Selskab, 31 (1959), n° 12. Zbl0085.21806MR112626
  9. [9] I. Segal - Nonlinear functions of weak processes : I, Journ. Funct. Anal., 4 (1969), p. 404-457 ; II, Journ. Funct. Anal., 6 (1970), p. 29-75. Zbl0202.42201MR249061
  10. [10] I. Segal - Notes toward the construction of nonlinear relativistic quantum fields : I, Proc. Nat. Acad. Sci. USA, 57 (1967), p. 1178-1183 ; II, Bull. A.M.S., 75 (1969), p. 1383-1389 ; III, ibid., p. 1390-1395. Zbl0196.28005
  11. [11] I. Segal - Construction of nonlinear local quantum processes : I, Ann. of Maths, 92 (1970), p. 462-481. Zbl0213.40904MR272306

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