Yang-Mills-Higgs fields in three space time dimensions

Yvonne Choquet-Bruhat

Mémoires de la Société Mathématique de France (1991)

  • Volume: 46, page 73-97
  • ISSN: 0249-633X

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Choquet-Bruhat, Yvonne. "Yang-Mills-Higgs fields in three space time dimensions." Mémoires de la Société Mathématique de France 46 (1991): 73-97. <http://eudml.org/doc/94895>.

@article{Choquet1991,
author = {Choquet-Bruhat, Yvonne},
journal = {Mémoires de la Société Mathématique de France},
keywords = {Yang-Mills equations; Higgs equations; asymptotically Minkowskian manifolds},
language = {eng},
pages = {73-97},
publisher = {Société mathématique de France},
title = {Yang-Mills-Higgs fields in three space time dimensions},
url = {http://eudml.org/doc/94895},
volume = {46},
year = {1991},
}

TY - JOUR
AU - Choquet-Bruhat, Yvonne
TI - Yang-Mills-Higgs fields in three space time dimensions
JO - Mémoires de la Société Mathématique de France
PY - 1991
PB - Société mathématique de France
VL - 46
SP - 73
EP - 97
LA - eng
KW - Yang-Mills equations; Higgs equations; asymptotically Minkowskian manifolds
UR - http://eudml.org/doc/94895
ER -

References

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  1. F. CAGNAC et Y. CHOQUET-BRUHAT (1984). Solutions globales d'équations hyperboliques sur une variété, J. Math. pures et appl. 63, p. 377-390. Zbl0554.58049MR86i:58131
  2. Y. CHOQUET-BRUHAT and C. DEWITT-MORETTE (1982), Analysis, Manifolds and Physics, revised edition, North Holland ; and (1989), Analysis, Manifolds and Physics II, 92 Applications, North Holland. Zbl0682.58002MR91e:58001
  3. Y. CHOQUET-BRUHAT, D. CHRISTODOULOU, M. FRANCAVIGLIA (1978), Cauchy data on manifold, Ann. I.H.P. 29 (3), p. 241. Zbl0412.35018MR80i:83010
  4. Y. CHOQUET-BRUHAT and D. CHRISTODOULOU (1981), Existence of global solution of the Yang-Mills-Higgs and spinor field equations in 3 + 1 dimensions, Ann. de l'E.N.S., 4e série, 14, p. 481-500. Zbl0499.35076MR84c:81041
  5. Y. CHOQUET-BRUHAT et I. E. SEGAL (1982), Solution globale des équations de Yang-Mills sur l'univers d'Einstein, C. R. Acad. Sc. Paris 294, p. 225-230. Zbl0501.58023MR83i:58098
  6. D. EARDLEY and V. MONCRIEF (1982), The global existence of Yang-Mills Higgs fields in 4-dimensional Minkovski space, Comm. Math. Phys. 83, p. 171-212. Zbl0496.35061MR83e:35106a
  7. J. GINIBRE et G. VELO (1981), The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge, Comm. Math. Phys. 82, p. 1-28. Zbl0486.35048MR83a:81048
  8. J. GINIBRE et G. VELO (1982), The Cauchy problem for coupled Yang-Mills and scalar fields in the Lorentz gauge, Ann. I. H. P. 36, p. 59-78. Zbl0486.35049MR83g:81069
  9. R. GLASSEY and W. STRAUSS (1981), Some global solutions of the Yang-Mills equations in Minkovski space, Comm. Math. Phys. 81, p. 171-188. Zbl0496.35055MR83b:81086
  10. R. KERNER (1974), On the Cauchy problem for the Yang-Mills field equations, Ann. I. H. P. XX, n° 3, p. 279-283. Zbl0285.35059MR53 #7276
  11. Cf. also Y. CHOQUET-BRUHAT (1979), The Cauchy problem for Einstein and Yang-Mills field, 2nd Congress Marcel Grossman, Triestre 1979, Ruffini ed. 
  12. J. LERAY (1952), "Hyperbolic differential equations", Princeton. Zbl0588.35002
  13. I. E. SEGAL (1979), The Cauchy problem for the Yang-Mills equations, J. Funct. Anal. 33, n°2, p. 175-194. Zbl0416.58027MR84a:58025
  14. F. CAGNAC (1987), Espaces de Sobolev sur une variété hyperbolique, Annales Fac. Sc. Yaounda. 
  15. Y. CHOQUET-BRUHAT (1983), Global solutions of hyperbolic equations of Gauge theories in "Relativity, Cosmology, Topological mass and Supergravity", C. Aragone ed. World Scientific. 
  16. Y. CHOQUET-BRUHAT, S. PANEITZ and I. E. SEGAL (1983), The Yang-Mills equations on the universal cosmos, J. of functional Analysis 53, n°2, p. 112-150. Zbl0535.58022MR85i:58111

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