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Phys. Rev. D 56, 7779–7787 (1997)

Geodesics, gravitons, and the gauge-fixing problem

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Diego A. R. Dalvit
Departamento de Física “J.J. Giambiagi,” FCEyN, UBA, Pabellón 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina

Francisco D. Mazzitelli
Departamento de Física “J.J. Giambiagi,” FCEyN, UBA, Pabellón 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Instituto de Astronomía y Física del Espacio, CC67 Suc28, 1428 Buenos Aires, Argentina

Received 19 August 1997; published in the issue dated 15 December 1997

When graviton loops are taken into account, the background metric obtained as a solution to the one-loop corrected Einstein equations turns out to be gauge-fixing dependent. Therefore it is of no physical relevance. Instead we consider a physical observable, namely, the trajectory of a test particle in the presence of gravitons. We derive a quantum corrected geodesic equation that includes backreaction effects and is explicitly independent of any gauge-fixing parameter.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.56.7779
DOI:
10.1103/PhysRevD.56.7779
PACS:
04.60.-m, 11.15.Kc