ANALYTICITY PROPERTIES OF UNITARY INTEGRALS.
Research communication no. 19,
DOUGLAS AIRCRAFT CO INC HUNTINGTON BEACH CALIF ADVANCED RESEARCH LAB
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A general unitary integral is analytically continued, the purpose being to obtain the domain of holomorphy of the integral in terms of the domains of holomorphy of the amplitudes occurring in the integrand. The amplitudes are assumed to be analytic on Riemann domains whose structure is restricted only by certain assumptions found to be prerequisites for an analytic continuation of the unitary integral. The Riemann domains allow for the possibility of an infinite number of signularities of an arbitrary type, and natural boundaries may occur. The analytic continuation is carried out explicitly in terms of scalar variables. All difficulties associated with the use of scalar variables are resolved to give an analytic continuation paralleling that in momentum space. Author
- Nuclear Physics and Elementary Particle Physics
- Quantum Theory and Relativity