On some classical space-time groups and their “SU6 generalizations”
Annales de l'I.H.P. Physique théorique (1965)
- Volume: 2, Issue: 4, page 327-353
- ISSN: 0246-0211
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topBacry, H.. "On some classical space-time groups and their “SU6 generalizations”." Annales de l'I.H.P. Physique théorique 2.4 (1965): 327-353. <http://eudml.org/doc/75505>.
@article{Bacry1965,
author = {Bacry, H.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {quantum theory},
language = {eng},
number = {4},
pages = {327-353},
publisher = {Gauthier-Villars},
title = {On some classical space-time groups and their “SU6 generalizations”},
url = {http://eudml.org/doc/75505},
volume = {2},
year = {1965},
}
TY - JOUR
AU - Bacry, H.
TI - On some classical space-time groups and their “SU6 generalizations”
JO - Annales de l'I.H.P. Physique théorique
PY - 1965
PB - Gauthier-Villars
VL - 2
IS - 4
SP - 327
EP - 353
LA - eng
KW - quantum theory
UR - http://eudml.org/doc/75505
ER -
References
top- [1] The conformal group was first introduced by H. BATEMAN, Proc. Lond. Math. Soc., 8, 1910, 223 and E. Cunningham, Proc. Lond. Math. Soc., 8, 1910, 77
- Invariance of the Maxwell equations leads to the conformal group so far as space time is assumed to be flat. For a more general case, see T. Fulton, F. Rohrlich and L. Witten, Rev. Mod. Phys., 34, 1962, 442. Zbl0107.40804MR145966
- See also J. Wess, Nuovo Cimento, 18, 1960, 1086. Zbl0094.42601
- [2] B. Sakita, Phys. Rev., 136, 1964, B1756. MR180224
- F. Gürsey and L.A. Radicati, Phys. Rev. Letters, 13, 1964, 173. MR167226
- H. Bacry and J. Nuyts, Phys. Letters, 12, 156 and 13, 1964, 359. MR184628
- [4] Dyads are very convenient in the investigation of the Lorentz group. See, for instance, H. Bacry, Thèse, Annales de Physique, 8, 1963, 197.
- J.M. Souriau, Calcul linéaire (Paris, Presses Universitaires, 1960). Zbl0086.01501MR110718
- [6] D. Spelser, Lectures given at the Istanbul Summer School (1962), to be published.
- [10] [ M. Gell-Mann, Phys. Letters, 8, 1964, 214 and G. Zweig, Cern preprints TH. 401 and 412,1964]. MR140308
- [11] R.P. Feynman, M. Gell-Mann and G. Zweig in Phys. Rev. Letters (to be published), « The group U(6) x U(6) generated by current components. » Zbl0126.24603
- [12] M. Gell-Mann, Phys. Rev., 125, 1962, 1067. Zbl0107.44301MR138414
- [14] H. Bacry and J. Nuyts, « Remarks on an enlarged Poincaré group: inhomogeneous SL(6,C) group » (to be published in Nuovo Cimento). Zbl0127.20807
- [19] See ref. [14] [16]. See also T. Fulton and J. Wess, Phys. Letters, 14, 1965, 57. Zbl0151.44702
- R. Delburgo, A. Salam and J. Strathdee, « U(12) and broken SU(6) symmetry », « Ü(12) and the baryon form factor », preprints Trieste (January 1965). MR194053
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