Bounding scattering of charged particles in $1+1$ dimensions
Résumé
We obtain general bounds on scattering processes involving charged particles in 1+1 spacetime dimensions. After a general analysis we derive mostly numerical bounds on couplings in theories with O(N ) and U(N ) global symmetries. The bounds are consistently saturated by S-matrices without particle production, and in many cases by known integrable S-matrices. Our work provides a blueprint for a similar analysis in higher dimensions.
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