The evolving Planck mass in classically scale-invariant theories

A bstract We consider classically scale-invariant theories with non-minimally coupled scalar fields, where the Planck mass and the hierarchy of physical scales are dynamically generated. The classical theories possess a fixed point, where scale invariance is spontaneously broken. In these theories,...

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Bibliographic Details
Published in:The journal of high energy physics 2017-04, Vol.2017 (4), p.1-28, Article 26
Main Authors: Kannike, K., Raidal, M., Spethmann, C., Veermäe, H.
Format: Article
Language:English
Subjects:
Astronomical models
Big bang cosmology
Classical and Quantum Gravitation
Classical Theories of Gravity
Constraint modelling
Cosmological constant
Coupling
Dark matter
Elementary Particles
Evolution
Gravitational constant
Hierarchies
High energy physics
Invariance
Invariants
Nuclear fusion
Nuclei (nuclear physics)
Oscillations
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Renormalization Group
Scalars
Scale invariance
String Theory
Upper bounds
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Summary:A bstract We consider classically scale-invariant theories with non-minimally coupled scalar fields, where the Planck mass and the hierarchy of physical scales are dynamically generated. The classical theories possess a fixed point, where scale invariance is spontaneously broken. In these theories, however, the Planck mass becomes unstable in the presence of explicit sources of scale invariance breaking, such as non-relativistic matter and cosmological constant terms. We quantify the constraints on such classical models from Big Bang Nucleosynthesis that lead to an upper bound on the non-minimal coupling and require trans-Planckian field values. We show that quantum corrections to the scalar potential can stabilise the fixed point close to the minimum of the Coleman-Weinberg potential. The time-averaged motion of the evolving fixed point is strongly suppressed, thus the limits on the evolving gravitational constant from Big Bang Nucleosynthesis and other measurements do not presently constrain this class of theories. Field oscillations around the fixed point, if not damped, contribute to the dark matter density of the Universe.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2017)026