Any good references on the analytic structure of scattering amplitudes?

Question

In papers they often say things about the analytic structure of S matrices - things like resonances are poles on the unphysical sheet, particle channels cause a square root branch cut etc.

I've seen this demonstrated in a couple of simple cases but I was wondering if there was any book/notes where this is talked about in general?

Possible duplicates: https://physics.stackexchange.com/q/105138/2451 and links therein. — Qmechanic, Nov 11 '20 at 21:39

score 1 · Answer 1 · edited Nov 12 '20 at 15:44

1

In general analyticity is consequence of causality and unitarity. A classic text is Eden, Landshoff and Polkinghorne The analytic S-Matrix. It focusses on $S$-matrix elements, but discusses the analytic properties of individual Feynman diagrams.

edited Nov 12 '20 at 15:44

Urb

2,608

answered Nov 11 '20 at 21:41

mike stone

52,996

Any good references on the analytic structure of scattering amplitudes?

1 Answers1