We formally prove the existence of a quantization procedure that makes the path integral of a general diffeomorphism-invariant theory of gravity, with fixed total spacetime volume, equivalent to that of its unimodular version. This is achieved by means of a partial gauge fixing of diffeomorphisms together with a careful definition of the unimodular measure. The statement holds also in the presence of matter. As an explicit example, we consider scalar-tensor theories and compute the corresponding logarithmic divergences in both settings. In spite of significant differences in the coupling of the scalar field to gravity, the results are equivalent for all couplings, including non-minimal ones.

Can quantum fluctuations differentiate between standard and unimodular gravity? / de Brito, Gustavo P.; Melichev, Oleg; Percacci, Roberto; Pereira, Antonio D.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2021:12(2021), pp. 1-22. [10.1007/JHEP12(2021)090]

Can quantum fluctuations differentiate between standard and unimodular gravity?

Oleg Melichev;Roberto Percacci;
2021

Abstract

We formally prove the existence of a quantization procedure that makes the path integral of a general diffeomorphism-invariant theory of gravity, with fixed total spacetime volume, equivalent to that of its unimodular version. This is achieved by means of a partial gauge fixing of diffeomorphisms together with a careful definition of the unimodular measure. The statement holds also in the presence of matter. As an explicit example, we consider scalar-tensor theories and compute the corresponding logarithmic divergences in both settings. In spite of significant differences in the coupling of the scalar field to gravity, the results are equivalent for all couplings, including non-minimal ones.
2021
12
1
22
90
10.1007/JHEP12(2021)090
http://arxiv.org/abs/2105.13886v1
de Brito, Gustavo P.; Melichev, Oleg; Percacci, Roberto; Pereira, Antonio D.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/128771
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