PoS - Proceedings of Science
Volume 455 - International Conference on Particle Physics and Cosmology (ICPPCRubakov2023) - Parallel session Aspects of mathematical physics
Generalization of the Bargmann-Wigner approach to constructing relativistic fields
A. Isaev*, I. Buchbinder, S. Fedoruk and M. Podoinitsyn
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Pre-published on: April 11, 2024
Published on: May 17, 2024
We review the method for constructing local relativistic fields corresponding to the Bargmann-Wigner wave functions that describe the unitary irreducible representations of the $4D$ Poincar\'{e} group. The method is based on the use of the generalized Wigner operator connecting the wave functions of induced representations and local relativistic fields. Applications of this operator for constructing massive local relativistic fields as well as massless helicity local fields and massless local infinite spin fields are considered.
DOI: https://doi.org/10.22323/1.455.0039
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