No Particle Production in Two Dimensions: Recursion Relations and Multi-Regge Limit

Abstract

We introduce high-energy limits which allow us to derive recursion relations fixing the various couplings of Lagrangians of two-dimensional relativistic quantum field theories with no tree-level particle production in a very straightforward way. The sine-Gordon model, the Bullough-Dodd theory, Toda theories of various kinds and the U(N) non-linear sigma model can all be rediscovered in this way. The results here were the outcome of our explorations at the 2017 Perimeter Institute Winter School.

arXiv comment20 pages

References in corpus (4)

• The S-matrix Bootstrap II: Two Dimensional Amplitudes
• Tree-level Amplitudes in the Nonlinear Sigma Model
• The S-matrix Bootstrap III: Higher Dimensional Amplitudes
• Supersymmetric integrable theories from no particle production

Cited by in corpus (13)

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• Supersymmetric integrable theories from no particle production
• Toda theory in AdS${}_2$ and $\mathcal{W}{A}_n$-algebra structure of boundary correlators
• Holographic four-point functions in Toda field theories in $Ad{S}_2$
• Tree level integrability in 2d quantum field theories and affine Toda models
• From tree- to loop-simplicity in affine Toda theories I: Landau singularities and their subleading coefficients
• One-loop inelastic amplitudes from tree-level elasticity in 2d
• From QCD Strings to WZW
• A note on tree factorization and no particle production