Spectral Representation of the Covariant Two-Point Function and Infinite-Component Fields with Arbitrary Mass Spectrum

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Abstract
The general form of a Lorentz covariant two‐point function is written down in momentum space as an expansion in terms of the total spin eigenfunctions. It leads naturally to a local expression for finite‐component fields, but incorporates nonlocal infinite‐component fields. Explicit examples of such fields with increasing mass spectrum are constructed. The two‐point function is shown to fall exponentially for large spacelike separations provided that the lowest mass in the theory is positive.

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