Diffeomorphisms of scalar quantum fields via generating functions

DOI10.4171/aihpd/161arXiv2007.12341OpenAlexW3045249236MaRDI QIDQ6081309

Karen Yeats, Ali Mahmoud

Publication date: 25 October 2023

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.12341

zbMATH Keywords

generating functionsBell polynomialsfield diffeomorphisms

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) (S)-matrix theory, etc. in quantum theory (81U20) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Graphs, diagram schemes, precategories (18A10)

Cites Work

• Unnamed Item
• Identities for partial Bell polynomials derived from identities for weighted integer compositions
• New identities for the partial Bell polynomials
• A family of Bell transformations
• Diffeomorphisms of quantum fields
• Field diffeomorphisms and the algebraic structure of perturbative expansions
• Perturbation theory of transformed quantum fields
• Point transformations are canonical transformations
• A robust generalization of the Legendre transform for QFT
• On the borchers class of a free field
• Point Transformation and Its Application
• Towards a more algebraic footing for quantum field theory

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