Certain interactions, such as nuclear forces and the forces of
'high-energy' physics, which arise in the theory of elementary
particles, cannot be described successfully by quantum field
theory. Considerable interest has therefore centred on attempts to
formulate interactions between elementary particles in terms of the
S-Matrix, an operator introduced by Heisenberg which connects the
input and output of a scattering experiment without seeking to give
a localized description of the intervening events. In this book
four authors, who are together responsible for many of these
developments, set out a theory of the S-Matrix starting, as far as
possible, from physically plausible assumptions and investigate the
mathematical consequences. The least understood of these
assumptions is the vital postulate of analyticity; much insight can
however be gained into its working by a study of the Feyman
integrals and the book describes what is known about their analytic
and high energy properties. Originally published in hardback in
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