Adding flavour to the S-matrix bootstrap
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Publication:1712325
DOI10.1007/JHEP12(2018)063zbMATH Open1405.81160arXiv1805.11143WikidataQ128781480 ScholiaQ128781480MaRDI QIDQ1712325
Author name not available (Why is that?)
Publication date: 21 January 2019
Published in: (Search for Journal in Brave)
Abstract: We explore the S-matrices of gapped, unitary, Lorentz invariant quantum field theories with a global O() symmetry in 1+1 dimensions. We extremize various cubic and quartic couplings in the two-to-two scattering amplitudes of vector particles. Saturating these bounds, we encounter known integrable models with O() symmetry such as the O() Gross-Neveu and non-linear sigma models and the scattering of kinks in the sine-Gordon model. We also considered more general mass spectra for which we move away from the integrable realm. In this regime we find (numerically, through a large N analysis and sometimes even analytically) that the S-matrices saturating the various coupling bounds have an extremely rich structure exhibiting infinite resonances and virtual states in the various kinematical sheets. They are rather exotic in that they admit no particle production yet they do not obey Yang-Baxter equations. We discuss their physical (ir)relevance and speculate, based on some preliminary numerics, that they might be close to more realistic realistic theories with particle production.
Full work available at URL: https://arxiv.org/abs/1805.11143
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