Geodesic
Toward an Infinite-Component Field Theory with a Double Symmetry: Interaction of Fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 1, pp. 54-68
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We complete the first stage of constructing a theory of fields not investigated before; these fields transform according to Lorentz group representations decomposable into an infinite direct sum of finite-dimensional irreducible representations. We consider only those theories that initially have a double symmetry: relativistic invariance and the invariance under the transformations of a secondary symmetry generated by the polar or the axial four-vector representation of the orthochronous Lorentz group. The high symmetry of the theory results in an infinite degeneracy of the particle mass spectrum with respect to spin. To eliminate this degeneracy, we postulate a spontaneous secondary-symmetry breaking and then solve the problems on the existence and the structure of nontrivial interaction Lagrangians.
Keywords: double symmetries, relativistically invariant Lagrangians, infinite-component fields. 
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L. M. Slad. Toward an Infinite-Component Field Theory with a Double Symmetry: Interaction of Fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 1, pp. 54-68. http://geodesic.mathdoc.fr/item/TMF_2002_133_1_a3/

[1] L. M. Slad, TMF, 129 (2001), 68 | DOI | MR | Zbl

[2] L. M. Slad, Mod. Phys. Lett. A, 15 (2000), 379 | DOI | MR

[3] I. M. Gelfand, A. M. Yaglom, ZhETF, 18 (1948), 703

[4] I. M. Gelfand, R. A. Minlos, Z. Ya. Shapiro, Predstavleniya gruppy vraschenii i gruppy Lorentsa, ikh primeneniya, Fizmatgiz, M., 1958 | MR | Zbl

[5] M. Gell-Mann, M. Levy, Nuovo Cimento, 16 (1960), 705 | DOI | MR | Zbl

[6] Yu. Vess, Dzh. Begger, Supersimmetriya i supergravitatsiya, Mir, M., 1986 | MR

[7] S. Coleman, J. Mandula, Phys. Rev., 159 (1967), 1251 | DOI | Zbl

[8] G. Veil, Klassicheskie gruppy. Ikh invarianty i predstavleniya, IL, M., 1947

[9] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, T. 1, Nauka, M., 1973 | MR