Dimensional Transmutation in Gravity and Cosmology
arXiv:2012.11608 · doi:10.1142/S0217751X21300064
Abstract
We review (and extend) the analysis of general theories of all interactions (gravity included) where the mass scales are due to dimensional transmutation. Quantum consistency requires the presence of terms in the action with four derivatives of the metric. It is shown, nevertheless, how unitary is achieved and the classical Ostrogradsky instabilities can be avoided. The four-derivative terms also allow us to have a UV complete framework and a naturally small ratio between the Higgs mass and the Planck scale. Moreover, black holes of Einstein gravity with horizons smaller than a certain (microscopic) scale are replaced by horizonless ultracompact objects that are free from any singularity and have interesting phenomenological applications. We also discuss the predictions that can be compared with observations of the microwave background radiation anisotropies and find that this scenario is viable and can be tested with future data. Finally, how strong phase transitions can emerge in models of this type with approximate scale symmetry and how to test them with GW detectors is reviewed and explained.
64 pages, 5 figures, review article (invited by the International Journal of Modern Physics A); v2 is the published version
References in corpus (47)
- Advanced LIGO
- Making Sense of Non-Hermitian Hamiltonians
- The Standard Model Higgs boson as the inflaton
- Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
- Extended Theories of Gravity and their Cosmological and Astrophysical Applications
- Gravitational Wave Production by Collisions: More Bubbles
- Scientific Objectives of Einstein Telescope
- Avoiding Dark Energy with 1/R Modifications of Gravity
- No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
- Metric-affine f(R) theories of gravity
- Fixed Points of Higher Derivative Gravity
- Gravitational wave energy budget in strongly supercooled phase transitions
- Black Holes in Higher-Derivative Gravity
- Quantum scale invariance, cosmological constant and hierarchy problem
- Higgs inflation at the critical point
- Higgs inflation still alive
- Effective Action of Vacuum: Semiclassical Approach
- Exactly solvable PT-symmetric Hamiltonian having no Hermitian counterpart
- Higgs inflation from Standard Model criticality
- Gravitational corrections to Standard Model vacuum decay
- Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model
- Classical and quantum stability of higher-derivative dynamics
- Dynamical generation of the weak and Dark Matter scales from strong interactions
- Metastability in Quadratic Gravity
- Metric-affine Gravity and Inflation
- Static Solutions for 4th order gravity
- Softened Gravity and the Extension of the Standard Model up to Infinite Energy
- On gravitational and thermal corrections to vacuum decay
- On the Quantisation of Complex Higher Derivative Theories and Avoiding the Ostrogradsky Ghost
- Asymptotically Safe Standard Model via Vector-Like Fermions
- (Higgs) vacuum decay during inflation
- Classical and Quantum Dynamics of Higher-Derivative Systems
- Predictions of quantum gravity in inflationary cosmology: effects of the Weyl-squared term
- The Inverse Seesaw in Conformal Electro-Weak Symmetry Breaking and Phenomenological Consequences
- Pais-Uhlenbeck Oscillator and Negative Energies
- Stable Asymptotically Free Extensions (SAFEs) of the Standard Model
- Inflation with a Weyl term, or ghosts at work
- Framework for an asymptotically safe Standard Model via dynamical breaking
- Cosmology with a light ghost
- Primordial massive gravitational waves from Einstein-Chern-Simons-Weyl gravity
- Safe Trinification
- (Anti-) de Sitter Electrically Charged Black Hole Solutions in Higher-Derivative Gravity
- Horizonless ultracompact objects and dark matter in quadratic gravity
- Minimal Radiative Neutrino Masses
- The Gauss-Bonnet Coupling Constant in Classically Scale-Invariant Gravity
- Quantum field theories of arbitrary-spin massive multiplets and Palatini quantum gravity
- Renormalizable 4D Quantum Gravity as A Perturbed Theory from CFT