One-loop quantum gravitational corrections to the scalar two-point function at fixed geodesic distance

Markus B. Fröb

doi:10.1088/1361-6382/aa9ad1

One-loop quantum gravitational corrections to the scalar two-point function at fixed geodesic distance

Markus B. Fröb

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study a proposal for gauge-invariant correlation functions in perturbative quantum gravity, which are obtained by fixing the geodesic distance between points in the fluctuating geometry. These correlation functions are non-local and strongly divergent, and we show how to renormalise them by performing a "wave function renormalisation" of the geodesic embedding coordinates. The result is finite and gauge-independent, but displays unusual features such as double logarithms at one-loop order.

Original language	English
Number of pages	41
Journal	Classical and Quantum Gravity
Volume	35
Issue number	3
Early online date	15 Nov 2017
DOIs	https://doi.org/10.1088/1361-6382/aa9ad1 https://doi.org/10.1088/1361-6382/aa9ad1
Publication status	Published - 3 Jan 2018

Bibliographical note

© 2017 IOP Publishing Ltd. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details

Access to Document

10.1088/1361-6382/aa9ad1Licence: CC BY-NC-ND
10.1088/1361-6382/aa9ad1Licence: Other

Fröb_2017_Class._Quantum_Grav._10.1088_1361-6382_aa9ad1
© 2017 IOP Publishing Ltd. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details
Accepted author manuscript, 738 KBLicence: CC BY-NC-ND

Cite this

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