The Cauchy problem for coupled Yang-Mills and scalar fields in the Lorentz gauge

J. Ginibre; G. Velo

Annales de l'I.H.P. Physique théorique (1982)

  • Volume: 36, Issue: 1, page 59-78
  • ISSN: 0246-0211

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Ginibre, J., and Velo, G.. "The Cauchy problem for coupled Yang-Mills and scalar fields in the Lorentz gauge." Annales de l'I.H.P. Physique théorique 36.1 (1982): 59-78. <http://eudml.org/doc/76148>.

@article{Ginibre1982,
author = {Ginibre, J., Velo, G.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {classical Yang Mills field; gauge invariant self interaction; Lorentz gauge; local existence; method of a priori estimates; generalized energy estimates},
language = {eng},
number = {1},
pages = {59-78},
publisher = {Gauthier-Villars},
title = {The Cauchy problem for coupled Yang-Mills and scalar fields in the Lorentz gauge},
url = {http://eudml.org/doc/76148},
volume = {36},
year = {1982},
}

TY - JOUR
AU - Ginibre, J.
AU - Velo, G.
TI - The Cauchy problem for coupled Yang-Mills and scalar fields in the Lorentz gauge
JO - Annales de l'I.H.P. Physique théorique
PY - 1982
PB - Gauthier-Villars
VL - 36
IS - 1
SP - 59
EP - 78
LA - eng
KW - classical Yang Mills field; gauge invariant self interaction; Lorentz gauge; local existence; method of a priori estimates; generalized energy estimates
UR - http://eudml.org/doc/76148
ER -

References

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  1. [1] R. Adams, Sobolev Spaces, Academic Press, New York, 1975. Zbl0314.46030MR450957
  2. [2] D. Christodoulou, C. R. Acad. Sci. Paris, t. 293, 1981, p. 139-141. Zbl0477.58038MR637111
  3. [3] Y. Choquet-Bruhat, D. Christodoulou, Existence of global solutions of the Yang-Mills-Higgs and spinor field equations in 3 + 1 dimensions, C. R. Acad. Sci. Paris, t. 293, 1981, p. 195-200, and Ann. Scient. E. N. S. (in press). Zbl0499.35076MR635980
  4. [4] D. Eardley, V. Moncrief, The global existence of Yang-Mills-Higgs field in 4 dimensional Minkowski space. I. Local existence and smoothness properties, II. Completion of the proof, Commun. Math. Phys. (in press). Zbl0496.35061MR649158
  5. [5] J. Ginibre, G. Velo, Phys. Lett., t. B99, 1981, p. 405-410. MR606718
  6. [6] J. Ginibre, G. Velo, The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge, Commun. Math. Phys. (in press). Zbl0486.35048MR638511
  7. [7] R.T. Glassey, W.A. Strauss, Commun. Math. Phys., t. 81, 1981, p. 171-188. Zbl0496.35055MR632755
  8. [8] R. Kerner, Ann. IHP, t. 20, 1974, p. 279-284. Zbl0285.35059MR403465
  9. [9] I.E. Segal, Ann. Math., t. 78, 1963, p. 339-364. Zbl0204.16004MR152908
  10. [10] I.E. Segal, J. Funct. Anal., t. 33, 1979, p. 175-194. Zbl0416.58027MR546505
  11. [11] F. Trèves, Basic linear partial differential equations, Academic press, New York, 1975. Zbl0305.35001MR447753

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