No particle production in two dimensions: recursion relations and multi-Regge limit

Author:

Gabai Barak,Mazáč DalimilORCID,Shieber Andrei,Vieira Pedro,Zhou Yehao

Abstract

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.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Reference8 articles.

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2. M.F. Paulos, J. Penedones, J. Toledo, B.C. van Rees and P. Vieira, The S-matrix Bootstrap III: Higher Dimensional Amplitudes, arXiv:1708.06765 [INSPIRE].

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4. I. Arefeva and V. Korepin, Scattering in two-dimensional model with Lagrangian L = (1/γ)[(1/2)(∂ μ u)2 + m 2(cos u − 1)], Pisma Zh. Eksp. Teor. Fiz. 20 (1974) 680 [INSPIRE].

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