Abstract
We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 1 + 1 dimensions due to crossing symmetry and unitarity. In this way we establish rigorous bounds on the cubic couplings of a given theory with a fixed mass spectrum. In special cases we identify interesting integrable theories saturating these bounds. Our analytic bounds match precisely with numerical bounds obtained in a companion paper where we consider massive QFT in an AdS box and study boundary correlators using the technology of the conformal bootstrap.
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ArXiv ePrint: 1607.06110
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Paulos, M.F., Penedones, J., Toledo, J. et al. The S-matrix bootstrap II: two dimensional amplitudes. J. High Energ. Phys. 2017, 143 (2017). https://doi.org/10.1007/JHEP11(2017)143
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DOI: https://doi.org/10.1007/JHEP11(2017)143