Abstract:
A study is made of the problem of the $CPT$-invariaace of the theory of infinite-component fields by a method close to the one developed by Pauli. We consider only Lagrangians constructed from bilinear tensor forms, Such Lagraugians are $CPT$-invariant if for fields which transform in accordance with representations of the proper Lorentz group from the classes (A), (C), (D) (in the classification of Gel'land and Yaglom) we assume the ordinary connection between spin and statistics, and if for fields of the class (B) we assume that the statistics are defined not by the spin but by the numbers k1 (k1 together with the least spin k0 characterizes an irreducible representation of the proper Lorentz group).
It is also shown that fields of the class (E) admit $CPT$-noninvariant theories.
Citation:
L. M. Slad, “Towards the question of $CPT$-invariant theories of infinite-component fields”, TMF, 2:1 (1970), 67–72; Theoret. and Math. Phys., 2:1 (1970), 50–54
\Bibitem{Sla70}
\by L.~M.~Slad
\paper Towards the question of $\textit{CPT}$-invariant theories of infinite-component fields
\jour TMF
\yr 1970
\vol 2
\issue 1
\pages 67--72
\mathnet{http://mi.mathnet.ru/tmf3989}
\transl
\jour Theoret. and Math. Phys.
\yr 1970
\vol 2
\issue 1
\pages 50--54
\crossref{https://doi.org/10.1007/BF01028855}
Linking options:
https://www.mathnet.ru/eng/tmf3989
https://www.mathnet.ru/eng/tmf/v2/i1/p67
This publication is cited in the following 2 articles:
L. M. Slad, “Electromagnetic form factors and polarizations of non-Dirac particles with rest spin 1/2”, Theoret. and Math. Phys., 158:1 (2009), 112–124
L. M. Slad, “Toward an Infinite-Component Field Theory with a Double Symmetry: Free Fields”, Theoret. and Math. Phys., 129:1 (2001), 1369–1384
Citation in format AMSBIB
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