QFT in curved spacetime from quantum gravity: Proper WKB decomposition of the gravitational component - INSPIRE

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QFT in curved spacetime from quantum gravity: Proper WKB decomposition of the gravitational component

Giulia Maniccia
(
- Rome U. and
- INFN, Rome
)
,
Giovanni Montani
(
- ENEA, Frascati and
- Rome U.
)
,
Stefano Antonini
(
- Maryland U.
)

Feb 21, 2023

8 pages

Published in:

Phys.Rev.D 107 (2023) 6, L061901

Published: Mar 13, 2023

e-Print:

2302.10832 [gr-qc]

DOI:

10.1103/PhysRevD.107.L061901 (publication)

View in:

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Abstract: (APS)

Starting from a reanalysis of previous work, we construct the proper low-energy quantum field theory (QFT) limit of a full quantum gravity theory in the Born-Oppenheimer approach. We separate the gravitational sector into a classical background, given by a vacuum diagonal Bianchi I cosmology, and its quantum perturbations represented by the two graviton degrees of freedom; we further include quantum matter in the form of a test scalar field. We then implement a Born-Oppenheimer separation, where the gravitons and matter play the roles of “slow” and “fast” quantum components, respectively, and perform a WKB expansion in a Planckian parameter. The functional Schrödinger evolution for matter is recovered after averaging over quantum-gravitational effects, provided that a condition is imposed on the gravitons’ wave functional. Such a condition fixes the graviton dynamics and is equivalent to the purely gravitational Wheeler-DeWitt constraint imposed in previous approaches. The main accomplishment of the present work is to clarify that QFT in curved spacetime can be recovered in the low-energy limit of quantum gravity only after averaging over the graviton degrees of freedom, in the spirit of effective field theory. Furthermore, it justifies a posteriori the implementation of the gravitational Wheeler-DeWitt equation on the “slow” gravitons’ wave functional rather than assuming its validity a priori.

Note:

8 pages. Title updated and discussion expanded; matches published version

energy: low
background: classical
field theory: scalar
quantum gravity: effect
gravitation
graviton
space-time
Bianchi: Type I
curvature
WKB approximation

References(60)

Figures(0)

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