Abstract
It is shown, that the class of fields (a, b) involving a particle of zero rest mass and helicityh is restricted only by the condition\(\left| {a + b} \right| \geqq \left| h \right|,(\frac{{a + b}}{h} integer)\), if the representation space is not required to be irreducible. The main feature of the corresponding physical interpretation is the occurrence of gauge particles. The investigations are carried out in terms of manifest covariant representations of the inhomogeneous Lorentz Group, which are shown to be not fully reducible in the zero rest mass case. The results are also obtained by a limiting processm → 0.
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Langbein, W. Zur physikalischen Interpretation manifest kovarianter Darstellungen der inhomogenen Lorentzgruppe zur Masse Null. Commun.Math. Phys. 5, 73–87 (1967). https://doi.org/10.1007/BF01646838
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DOI: https://doi.org/10.1007/BF01646838