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No Particle Production in Two Dimensions: Recursion Relations and Multi-Regge Limit
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.Comment: 20 page