E141-04 - Forschungsbereich Neutron- and Quantum Physics E136 - Institut für Theoretische Physik
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Journal:
Classical and Quantum Gravity
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ISSN:
0264-9381
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Date (published):
2026
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Number of Pages:
26
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Publisher:
IOP PUBLISHING LTD
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Peer reviewed:
Yes
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Keywords:
Scalar field theory; quantum gravity; scalar-tensor theory; scale-dependent gravity
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Abstract:
We present a novel equivalence between scale-dependent (SD) gravity and scalar-tensor theories
(STTs) that have only a single scalar field with a canonical kinetic term in the Einstein frame and
a conformal coupling to the metric tensor. In particular, we show that the set of well-behaved SD
gravity theories can be fully embedded into STTs in a unique way. Conversely, there are multiple
ways to write a STT as a SD theory. This equivalence is established both on the level of the actions
and on the level of field equations. We find that, in the context of this equivalence, the scale-setting
relation k(x) is naturally promoted to a dynamical field, which is made manifest by including a
corresponding kinetic term in the SD action. In addition, we demonstrate that the new equivalence
fits well into the framework of existing equivalences involving the aforementioned theories and
f (R)-gravity. Finally, we apply the equivalence relations to explicit examples from both SD gravity
and STTs.
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Project title:
Precision Tests for Dark Energy and Modified Gravity with Tabletop Experiments: PAT7599423 (FWF - Österr. Wissenschaftsfonds) Open Quantum Dynamics of Dark Matter in Electron Microscopy: PAT8564023 (FWF - Österr. Wissenschaftsfonds)
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Research Areas:
Beyond TUW-research focus: 90% Fundamental Mathematics Research: 10%