English

A note on tree factorization and no particle production

High Energy Physics - Theory 2023-05-02 v1

Abstract

We prove factorization of the generating functional of connected tree diagrams by exploring that it is the Legendre transform of the action. This theorem is then applied to the example of a massive real scalar field theory in 2D. In the process we streamline the proof that the assumption of no particle production leads to either the sin(h)-Gordon or the Bullough-Dodd model.

Cite

@article{arxiv.2207.13003,
  title  = {A note on tree factorization and no particle production},
  author = {Klaus Bering},
  journal= {arXiv preprint arXiv:2207.13003},
  year   = {2023}
}

Comments

18 pages, PDF only

R2 v1 2026-06-25T01:14:46.866Z