Correlated Worldline theory: Structure and Consistency
| Autor: | Andrei O. Barvinsky, Jordan Wilson-Gerow, Philip Stamp |
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| Rok vydání: | 2020 |
| Předmět: |
Physics
010308 nuclear & particles physics General relativity Order (ring theory) FOS: Physical sciences Field (mathematics) General Relativity and Quantum Cosmology (gr-qc) Coupling (probability) 01 natural sciences General Relativity and Quantum Cosmology Classical limit Product (mathematics) 0103 physical sciences Quantum gravity Quantum field theory 010306 general physics Mathematical physics |
| DOI: | 10.48550/arxiv.2011.03601 |
| Popis: | We give a formal treatment of the "Correlated Worldline" theory of quantum gravity. The generating functional is written as a product over multiple copies of the coupled matter and gravitational fields; paths for fields are correlated via gravity itself. In the limit where the gravitational coupling $G \rightarrow 0$, conventional quantum field theory is recovered; in the classical limit $\hbar \rightarrow 0$, General Relativity is recovered. A formal loop expansion is derived, with all terms up to one-loop order $\sim O(l_P^2)$ given explicitly, where $l_P$ is the Planck length. We then derive the form of a perturbation expansion in $l_P^2$ around a background field, with the correlation functions given explicitly up to $\sim O(l_P^2)$. Finally, we explicitly demonstrate the on-shell gauge independence of the theory, to order $l_P^2$ in gravitational coupling and to all orders in matter loops, and derive the relevant Ward identities. Comment: 20 pages, 6 figures |
| Databáze: | OpenAIRE |
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