Author:
de Brito Gustavo P.,Melichev Oleg,Percacci Roberto,Pereira Antonio D.
Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
23 articles.
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