Diffeomorphisms of Scalar Quantum Fields via Generating Functions

Autor:	Mahmoud, Ali Assem, Yeats, Karen
Rok vydání:	2020
Předmět:	Mathematical Physics Mathematics - Combinatorics Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We study the application of formal diffeomorphisms to scalar fields. We give a new proof that interacting tree amplitudes vanish in the resulting theories. Our proof is directly at the diagrammatic level, not appealing to the path integral, and proceeds via a generating function analysis so is more insightful than previous proofs. Along the way we give new combinatorial proofs of some Bell polynomial identities, and we comment on the connection with the combinatorial Legendre transform. Comment: 18 pages, edits according to referee comments
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.12341 Zobrazit plný text záznamu View this record from Arxiv