Equivalence of the Einstein and Jordan frames
By M. Postma, M. Volponi. 2014
150 citations recorded by the source corpus.
No experiment can measure an absolute scale: every dimensionfull quantity has to be compared to some fixed unit scale in order to be measured, and thus only dimensionless quantities are really physical. The Einstein and Jordan frame are related by a conformal transformation of the metric, which amounts to rescaling all length scales. Since the absolute scale cannot be measured, both frames describe the same physics, and are equivalent. In this article we make this explicit by rewriting the action in terms of dimensionless variables, which are invariant under a conformal transformation. For definiteness, we concentrate on the action of Higgs inflation, but the results can easily be generalized. In addition, we show that the action for f(R)-gravity, which includes Starobinsky inflation, can be written in a frame-independent form.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/f3d8adcb1f8d7e0eb7279f8e417a8534049d3913
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Citations in the corpus
- Higgs inflation from Standard Model criticality (2014, unknown): “[64–92].”
- Higgs inflation with loop corrections in the Palatini formulation (2017, background): “Differences have been found between treatments where renormalisation prescriptions are applied in different frames [46, 47, 49, 51], but this may be due to not matching the renormalisation scales and integration measures in the different frames consistently [54, 61, 96, 104].”
- Dynamically induced Planck scale and inflation (2015, methodology): “It has been shown that the results computed in the Jordan and Einstein frames are compatible with each other [120, 121].”