The continuous spin limit of higher spin field equations

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, JHEP style. Typos corrected, references added

Scientific paper

10.1088/1126-6708/2006/01/115

We show that the Wigner equations describing the continuous spin representations can be obtained as a limit of massive higher-spin field equations. The limit involves a suitable scaling of the wave function, the mass going to zero and the spin to infinity with their product being fixed. The result allows to transform the Wigner equations to a gauge invariant Fronsdal-like form. We also give the generalisation of the Wigner equations to higher dimensions with fields belonging to arbitrary representations of the massless little group.

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