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Correlated Worldline theory: Structure and Consistency | | A.O. Barvinsky
; J. Wilson-Gerow
; P.C.E. Stamp
; | | Date: |
6 Nov 2020 | | Abstract: | 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 $G
ightarrow 0$, conventional quantum field theory is recovered; in the
classical limit $hbar
ightarrow 0$, 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. | | Source: | arXiv, 2011.03601 | | Services: | Forum | Review | PDF | Favorites | |
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