Fields on a homogeneous space of the Poincaré group
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 13 (1970) no. 1, pp. 57-76.
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     author = {Kihlberg, Arne},
     title = {Fields on a homogeneous space of the {Poincar\'e} group},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {57--76},
     publisher = {Gauthier-Villars},
     volume = {13},
     number = {1},
     year = {1970},
     mrnumber = {273918},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1970__13_1_57_0/}
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Kihlberg, Arne. Fields on a homogeneous space of the Poincaré group. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 13 (1970) no. 1, pp. 57-76. http://archive.numdam.org/item/AIHPA_1970__13_1_57_0/

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[3] See L. Bertocchi and E. Ferrari, in High energy physics, vol. II. Edited by E. H. S. Burhop, 1967.

[4] M. Toller, Nuovo Cimento, 54A, 1968, 295. | Zbl

E.T. Hadjioannou, Nuovo Cimento, 44, 1966, 185.

G. Domokos, Phys. Lett., 24B, 1967, 293.

[5] E. Ferrari and F. Selleri, Nuovo Cimento, 27, 1962, 1455. Suppl. Nuovo Cimento, 24, 1962, 453. | Zbl

[6] A.S. Wightman, Phys. Rev., 101, 1956, 860. | MR | Zbl

[7] H. Lehman, K. Symanzik and W. Zimmerman, Nuovo Cimento, 1, 1955, 1425, 6, 1957, 319. | MR | Zbl

[8] A. Kihlberg, Arkiv Fysik, 28, 1964, 121. Hereafter referred to as paper I. Arkiv. Fysik, 32, 1966, 263 (paper II).

[9] A. Kihlberg, Nuovo Cimento, 53, 1968, 592 (paper III). | MR | Zbl

[10] A. Kihlberg, Arkiv Fysik, 39, 1969, 77 (paper IV).

[11] A. Kihlberg, On a new field theory. Report 68-9 Institute of Theoretical Physics, Göteborg, 1968 (A wrong conjecture about the microcausality was made in this paper. Therefore the S-matrix defined does not always lead to relativistically invariant amplitudes).

[12] F. Lurçat, Physics, 1, 1964, 95.

[13] H. Bacry and A. Kihlberg, J. Math. Phys., 10, 1969, 2132. | MR | Zbl

[14] D. Finkelstein, Phys. Rev., 100, 1955, 942. | MR

[15] H. Bacry, Commun. Math. Phys., 5, 1967, 97.

[16] S. Weinberg, Phys. Rev., 133, 1964, B1318. | Zbl

[17] G. Fuchs, Field theories on homogeneous spaces of the Poincaré group. Preprint École Polytechnique, 1968.

[18] J. Nilsson and H.V.R. Pietschman, Phys. Rev., 142, 1966, 1173. | MR

L. Redei, private communication.

[19] A list of references on infinite component field theories is given in ref. 13.

[20] Concerning the possibility of having a mass splitting in the free fields, see I.T. Grodsky and R.F. Streater, Phys. Rev. Lett., 20, 1968, 695.