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Correlated worldline theory: Structure and consistency

Barvinsky, A. O. and Wilson-Gerow, J. and Stamp, P. C. E. (2021) Correlated worldline theory: Structure and consistency. Physical Review D, 103 (6). Art. No. 064028. ISSN 2470-0010. doi:10.1103/physrevd.103.064028.

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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→0, conventional quantum field theory is recovered; in the classical limit ℏ→0, general relativity is recovered. A formal loop expansion is derived, with all terms up to one-loop order ∼O(l²_P) given explicitly, where l_P is the Planck length. We then derive the form of a perturbation expansion in l²_P around a background field, with the correlation functions given explicitly up to ∼O(l²_P). Finally, we explicitly demonstrate the on shell gauge independence of the theory, to order l²_P in gravitational coupling and to all orders in matter loops, and derive the relevant Ward identities.

Item Type:Article
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URLURL TypeDescription Paper
Wilson-Gerow, J.0000-0002-1955-8018
Additional Information:© 2021 American Physical Society. Received 6 November 2020; accepted 22 February 2021; published 18 March 2021. We have benefited from discussions with W. G. Unruh at UBC, with Y. Chen, C. Cheung, and A. Kitaev at Caltech, and with H. Brown and R. Penrose at Oxford. PCES would also like to acknowledge the support and hospitality of Y. Chen, T. F. Rosenbaum, and K. S. Thorne at Caltech. A. O. B. acknowledges the support and hospitality of M. Vessey and of Green College at UBC, and of the Peter Wall Institute of Advanced Studies at UBC. This work was funded in Canada by the National Science and Engineering Research Council of Canada (NSERC), and by grants from Green College and the Peter Wall Institute of Advanced Studies at UBC. In the U.S., PCES received support at Caltech from the Simons Foundation (Grant No. 568762) and the National Science Foundation (Grant No. PHY-1733907). The work of A. O. B. was funded by the Russian Foundation for Basic Research, Project No. 20-02-00297, and by the Foundation for Theoretical Physics Development “Basis.”
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
University of British ColumbiaUNSPECIFIED
Simons Foundation568762
Russian Foundation for Basic Research20-02-00297
Issue or Number:6
Record Number:CaltechAUTHORS:20210421-162234187
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108793
Deposited By: Tony Diaz
Deposited On:23 Apr 2021 18:11
Last Modified:23 Apr 2021 18:11

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