Macrocausality, physical-region analyticity and independence property in S-matrix theory

Abstract

The equivalence between macrocausality and physical-region analyticity properties of the S-matrix, which has first been proved in reference 1, is described here in an improved version derived from Chapter II of reference 2.This version follows from various mathematical developments (references 3,4) which have allowed to give a somewhat better statement of the macrocausality property and to complete the results of reference 1 in various ways.It turns out, in particular, that the independence property, which was originally presented (in some situations) as a supplementary assumption, can always be derived from macrocausality.KeywordsCausal DirectionLandau EquationInternal LineExceptional PointIndependence PropertyThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.