Abstract
We prove in a constructive way the existence of an analytic nonlinear representation of the Poincaré group in a Banach space, the linear part of which is the massless representation with helicity +1 (or-1). Furthermore, this nonlinear representation is shown to be analytically unwquivalent to any unitary linear representation.
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Rideau, G. An analytic nonlinear representation of the Poincaré group. Lett Math Phys 9, 337–351 (1985). https://doi.org/10.1007/BF00397760
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DOI: https://doi.org/10.1007/BF00397760