English

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

High Energy Physics - Theory 2019-03-27 v1

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.

Keywords

Cite

@article{arxiv.1803.03578,
  title  = {No Particle Production in Two Dimensions: Recursion Relations and Multi-Regge Limit},
  author = {Barak Gabai and Dalimil Mazac and Andrei Shieber and Pedro Vieira and Yehao Zhou},
  journal= {arXiv preprint arXiv:1803.03578},
  year   = {2019}
}

Comments

20 pages

R2 v1 2026-06-23T00:47:52.254Z