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An Analytical Toolkit for the S-matrix Bootstrap

Miguel Correia, Amit Sever, Alexander Zhiboedov

15/6/20 Published in : arXiv:2006.08221

We revisit analytical methods for constraining the nonperturbative S-matrix of unitary, relativistic, gapped theories in

d \geq 3

  spacetime dimensions. We assume extended analyticity of the two-to-two scattering amplitude and use it together with elastic unitarity to develop two natural expansions of the amplitude. One is the threshold (non-relativistic) expansion and the other is the large spin expansion. The two are related by the Froissart-Gribov inversion formula. When combined with crossing and a local bound on the discontinuity of the amplitude, this allows us to constrain scattering at finite energy and spin in terms of the low-energy parameters measured in the experiment. Finally, we discuss the modern numerical approach to the S-matrix bootstrap and how it can be improved based on the results of our analysis.

Entire article

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  • String Theory
  • Field Theory

Gapped Goldstones at the cut-off scale: a non-relativistic EFT

The moduli space of stable supercurves and its canonical line bundle

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