Quantum general covariance

Abstract The structure of quantum interactions with fields of helicity two (‘gravitons’) is strongly constrained by three principles: positivity (Hilbert space), covariance, and locality of observables. To fulfil them simultaneously, some (non-observable) fields need to be non-local. We work with st...

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Bibliographic Details
Published in:Classical and quantum gravity 2023-10, Vol.40 (19), p.195016
Main Authors: Gaß, Christian, Gracia-Bondía, José M, Rehren, Karl-Henning
Format: Article
Language:English
Subjects:
Epstein–Glaser renormalization
graviton couplings
perturbative quantum field theory
string-localized fields
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Summary:Abstract The structure of quantum interactions with fields of helicity two (‘gravitons’) is strongly constrained by three principles: positivity (Hilbert space), covariance, and locality of observables. To fulfil them simultaneously, some (non-observable) fields need to be non-local. We work with string-localized fields. The results then follow from the condition that entities closely related to observables, like the S -matrix, be local and string-independent. They in particular reproduce the interactions dictated by general covariance in classical field theory. Graviton-matter couplings are consistent only when the graviton self-interaction is taken into account as well. Science is not a collection of truths; it is a continuous exploration of mysteries —Freeman Dyson
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/aceb2b