A note on tree factorization and no particle production

BERING LARSEN, Klaus. A note on tree factorization and no particle production. Journal of Physics A: Mathematical and Theoretical. Bristol: IOP Publishing, 2023, vol. 56, No 19, p. 1-20. ISSN 1751-8113. Available from: https://dx.doi.org/10.1088/1751-8121/accb1e.

Basic information

• Original name: A note on tree factorization and no particle production
• Authors: BERING LARSEN, Klaus (208 Denmark, guarantor, belonging to the institution).
• Edition: Journal of Physics A: Mathematical and Theoretical, Bristol, IOP Publishing, 2023, 1751-8113.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10308 Astronomy
• Country of publisher: United Kingdom of Great Britain and Northern Ireland
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL URL
• Impact factor: Impact factor: 2.100 in 2022
• RIV identification code: RIV/00216224:14310/23:00134081
• Organization unit: Faculty of Science
• Doi: http://dx.doi.org/10.1088/1751-8121/accb1e
• UT WoS: 000971400800001
• Keywords in English: Quantum Field Theory; Scattering Amplitudes; Factorization; Integrable Systems
• Tags: rivok
• Tags: International impact, Reviewed

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 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.

Links

• GA23-06498S, research and development project: Name: Duality a derivace vyšších řádů

Investor: Czech Science Foundation, Dualities and higher derivatives