Abstract:
An analysis is given for the spin dependence of the masses of states described by a relativistically invariant equation in an infinite number of dimensions. It is found that linear equations of GePfand– Yaglom type give rise to branches where the mass increases with the spin, as well as the usual falling branches, if restrictions are applied to the arbitrary element allowed by the relativistic invarianee. It is also found that the falling branches can be suppressed
if a certain extension is made in the structure of the linear relativistically invariant equation.
Examples are given.
Citation:
A. A. Komar, L. M. Slad, “Mass spectrum of relativistic invariant equations in an infinite number of dimensions”, TMF, 1:1 (1969), 50–59; Theoret. and Math. Phys., 1:1 (1969), 39–45
\Bibitem{KomSla69}
\by A.~A.~Komar, L.~M.~Slad
\paper Mass spectrum of relativistic invariant equations in an~infinite number of dimensions
\jour TMF
\yr 1969
\vol 1
\issue 1
\pages 50--59
\mathnet{http://mi.mathnet.ru/tmf4239}
\zmath{https://zbmath.org/?q=an:1183.81078}
\transl
\jour Theoret. and Math. Phys.
\yr 1969
\vol 1
\issue 1
\pages 39--45
\crossref{https://doi.org/10.1007/BF01028569}
Linking options:
https://www.mathnet.ru/eng/tmf4239
https://www.mathnet.ru/eng/tmf/v1/i1/p50
This publication is cited in the following 8 articles:
Slad L.M., “Some Field-Theoretical Aspects of Two Types of the Poincaré Group Representations”, Int. J. Mod. Phys. A, 29:2 (2014), 1450020
L. M. Slad, “Electromagnetic properties of non-Dirac particles with rest spin 1/2”, Theoret. and Math. Phys., 165:1 (2010), 1275–1292
L. M. Slad, “Mass spectra in the doubly symmetric theory of infinite-component fields”, Theoret. and Math. Phys., 142:1 (2005), 15–28
E. A. Ivanov, B. M. Zupnik, “Nonanticommutative deformations of N=(1, 1) supersymmetric theories”, Theor Math Phys, 142:2 (2005), 197
E. A. Ivanov, B. M. Zupnik, “Nonanticommutative deformations of N=(1,1) supersymmetric theories”, Theoret. and Math. Phys., 142:2 (2005), 197–210
L. M. Slad, “Toward an Infinite-Component Field Theory with a Double Symmetry: Free Fields”, Theoret. and Math. Phys., 129:1 (2001), 1369–1384
W. I. Fushchych, “Representations of the complete inhomogeneous de Sitter group and equations in the five-dimensional approach. I”, Theoret. and Math. Phys., 4:3 (1970), 890–907
L. M. Slad, “Space-like solutions of Gel'fand-Yaglom type equations”, Theoret. and Math. Phys., 5:1 (1970), 953–962
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