Abstract
Some difficulties with sharp momentum (one-particle) states for massless particles are indicated, in the framework of unitary irreducible representations of the Poincaré group. It is shown that a Poincaré covariant set of such states requires the introduction, in the spatial direction opposite to the point stabilized, of momentum generalized eigenstates which (when the helicity is nonzero) have a nontrivial orbital transformation. The relevance of these generalized momentum eigenstates for massless theories is then shown.
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Flato, M., Sternheimer, D. & Fronsdal, C. Difficulties with massless particles?. Commun.Math. Phys. 90, 563–573 (1983). https://doi.org/10.1007/BF01216186
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DOI: https://doi.org/10.1007/BF01216186