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Safe essential scalar-tensor theories
by Benjamin Knorr
Submission summary
Authors (as registered SciPost users): | Benjamin Knorr |
Submission information | |
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Preprint Link: | https://arxiv.org/abs/2204.08564v2 (pdf) |
Data repository: | https://doi.org/10.17632/9v7ftgswc5.1 |
Date submitted: | 2023-10-20 11:12 |
Submitted by: | Knorr, Benjamin |
Submitted to: | SciPost Physics |
Ontological classification | |
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Academic field: | Physics |
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Approach: | Theoretical |
Abstract
We discuss the renormalisation group flow of all essential couplings of quantum gravity coupled to a shift-symmetric scalar field at fourth order in the derivative expansion. We derive the global structure of the phase diagram, and identify a bounded region in theory space which is both asymptotically safe in the ultraviolet, and connects to standard effective field theory in the infrared. Our system thus satisfies the weak-gravity bound. The allowed infrared behaviour of the essential four-scalar coupling is restricted by requiring an ultraviolet completion. This bound can be saturated by a theory without free parameters, which gives a concrete example for a fully predictive scalar-tensor theory.
Current status:
In refereeing