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Quantum Foundations

Diffeomorphisms of Scalar Quantum Fields via Generating Functions

arXiv

Authors: Ali Assem Mahmoud, Karen Yeats

Year

2020

Paper ID

21993

Status

Preprint

Abstract Read

~2 min

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Abstract

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.

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This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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We study the application of formal diffeomorphisms to scalar fields.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2007.12341 [2] arXiv https://arxiv.org/abs/2007.12341 [3] Publisher https://arxiv.org/abs/2007.12341

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