4.4 Article

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

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP02(2019)094

Keywords

Integrable Field Theories; Scattering Amplitudes; Field Theories in Lower Dimensions

Funding

  1. Government of Canada through NSERC
  2. Province of Ontario through MRI
  3. Simons Foundation [488661]
  4. FAPESP [2016/01343-7]
  5. [CERN/FIS-NUC/0045/2015]
  6. Fundação para a Ciência e a Tecnologia [CERN/FIS-NUC/0045/2015] Funding Source: FCT

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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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