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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1970 Volume 3, Number 2, Pages 166–170 (Mi tmf4101)

Spectral representation of the two-point functions for fields describing composite particles

D. I. Blokhintsev, R. P. Zaikov


Abstract: The Gelfand–Graev transformation is used to obtain an expansion of the four-polnt function of a scalar field (or the two-point function of a biloezl field) with respect to the two-point functions of fields that transform in accordance with the principal series of the unitary representations of the Lorentz group and conversely. It follows from this result that the infinitecomponent fields can be regarded as composite fields.

Received: 04.12.1969


 English version:
Theoretical and Mathematical Physics, 1970, 3:2, 423–426


© Steklov Math. Inst. of RAS, 2026