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Safe essential scalar-tensor theories

by Benjamin Knorr

Submission summary

Authors (as registered SciPost users): Benjamin Knorr
Submission information
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
Academic field: Physics
Specialties:
  • Gravitation, Cosmology and Astroparticle Physics
  • High-Energy Physics - Theory
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

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