Fuzzy instantons in landscape and swampland: review of the Hartle-Hawking wave function and several applications
arXiv:2106.10790
Abstract
The Euclidean path integral is well approximated by instantons. If instantons are dynamical, then instantons are necessarily complexified. These fuzzy instantons can have various physical applications. In slow-roll inflation models, fuzzy instantons can explain the probability distribution of the initial conditions of the universe. Even though the potential shape does not satisfy the slow-roll conditions following the swampland criteria, still the fuzzy instantons can explain the origin of the universe. If we extend the Euclidean path integral beyond the no-boundary proposal, we may study fuzzy Euclidean wormholes that have various physical applications in cosmology and black hole physics. We summarize them and discuss possible future research topics.
arXiv comment22 pages, 9 figures; Invited review for Universe
References in corpus (23)
- The Anthropic Landscape of String Theory
- De Sitter Space and the Swampland
- Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
- Lorentzian Quantum Cosmology
- The Classical Universes of the No-Boundary Quantum State
- The No-Boundary Measure of the Universe
- Effective line elements and black-hole models in canonical (loop) quantum gravity
- The Real No-Boundary Wave Function in Lorentzian Quantum Cosmology
- Thin-shell bubbles and information loss problem in anti de Sitter background
- Hartle-Hawking no-boundary proposal in dRGT massive gravity: Making inflation exponentially more probable
- The no-boundary measure in string theory: Applications to moduli stabilization, flux compactification, and cosmic landscape
- Toward inflation models compatible with the no-boundary proposal
- Euclidean quantum gravity and stochastic inflation
- Swampland, Trans-Planckian Censorship and Fine-Tuning Problem for Inflation: Tunnelling Wavefunction to the Rescue
- Broken bridges: A counter-example of the ER=EPR conjecture
- No-boundary measure and preference for large e-foldings in multi-field inflation
- The no-boundary wave function for loop quantum cosmology
- Oscillating instantons as homogeneous tunneling channels
- Quantum creation of traversable wormholes ex nihilo in Gauss-Bonnet-dilaton gravity
- Fuzzy Euclidean wormholes in anti-de Sitter space
- Euclidean wormholes in Gauss-Bonnet-dilaton gravity
- On the geometry of no-boundary instantons in loop quantum cosmology
- Suppression of long-wavelength CMB spectrum from the Hartle-Hawking wave function in Starobinsky-type inflation model