Properties of Mandelstam Cuts

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Abstract
The properties of Mandelstam cuts are discussed which can be deduced from expressions suggested by Feynman integrals together with an understanding of the singularity structure of real integrals. The suggestion of Schwarz about their "switching on and off" properties is confirmed, and some expressions for discontinuities are elucidated. The existence of a pole singularity underneath the Reggeon-particle and normal threshold cuts is demonstrated, and the importance of its role in eliminating the Gribov-Pomeranchuk essential singularity is emphasized. This property is also explored in terms of the Feynman-integral model, and the dangers and subtleties of calculations based on orders of the third spectral function are exhibited.

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