A note on tree factorization and no particle production

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Authors	BERING LARSEN Klaus
Year of publication	2023
Type	Article in Periodical
Magazine / Source	Journal of Physics A: Mathematical and Theoretical
MU Faculty or unit	Faculty of Science
Citation
Web	https://arxiv.org/abs/2207.13003 https://doi.org/10.1088/1751-8121/accb1e
Doi	http://dx.doi.org/10.1088/1751-8121/accb1e
Keywords	Quantum Field Theory; Scattering Amplitudes; Factorization; Integrable Systems;
Description	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 local relativistic interacting field theory in 2D with a single massive real scalar field that has no derivative couplings and no classical tadpole. 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.
Related projects:	Dualities and higher derivatives