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

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arxiv 1803.03578 v1 pith:PWO4VLZD submitted 2018-03-09 hep-th

Barak Gabai , Dalimil Mazac , Andrei Shieber , Pedro Vieira , Yehao Zhou This is my paper · ORCID
classification hep-th
keywords modelparticleproductionrecursionrelationstheoriesvariousallow
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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.

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  1. One-loop integrability with shifting masses

    hep-th 2024-11 conditional novelty 7.0 of 10

    Tree-level elastic 2d theories with polynomial interactions remain elastic at one loop once masses are renormalized by bubble diagrams, with a universal one-loop S-matrix in terms of tree-level data.

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