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Bounding scattering of charged particles in 1+1 dimensions

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arxiv 1805.11429 v2 pith:C2G4QE6D submitted 2018-05-29 hep-th

Miguel F. Paulos , Zechuan Zheng This is my paper · ORCID
classification hep-th
keywords boundsdimensionsanalysischargedgeneralmatricesparticlesscattering
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abstract

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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cross-Section Bootstrap: Unveiling the Froissart Amplitude

    hep-th 2025-06 conditional novelty 6.0 of 10

    A universal finite-energy upper bound on the integrated cross-section for identical scalars is derived; the conjectured saturating "Froissart amplitude" shows Regge trajectories, a rising cross-section, and annulus-li...

  2. On the space of U(N) scattering amplitudes

    hep-th 2025-04 conditional novelty 6.0 of 10

    New rigorous bounds chart the allowed space of U(N) symmetric 2D scattering amplitudes, with a previously overlooked integrable solution (class VII) at the boundary and periodic extremal amplitudes.

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