Abstract
A Lagrangian formalism is constructed for a symmetric, traceless tensor (spinor-tensor) of rank N which describes a multiplet with spin 0, 1, 2, …, N( 1 2 , 3 2 , …, N + 1 2 ) . From physical quantities that are obtainable from this formalism we derive the corresponding quantities for an infinite multiplet with integer (half-integer) spin by means of an analytic continuation which changes the original field into a basis of an infinite-dimensional, unitary representation of the Lorentz group. Feynman rules for infinite multiplets are determined in this way. Within this formalism mass spectra of infinite multiplets are always of the Majorana type, and the difficulties related to the spin-statistics theorem and spacelike solutions do not arise.
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