Microscopic Picture of Non-Relativistic Classicalons
arXiv:1302.6581 · doi:10.1088/1475-7516/2013/08/028
Abstract
A theory of a non-relativistic, complex scalar field with derivatively coupled interaction terms is investigated. This toy model is considered as a prototype of a classicalizing theory and in particular of general relativity, for which the black hole constitutes a prominent example of a classicalon. Accordingly, the theory allows for a non-trivial solution of the stationary Gross-Pitaevskii equation corresponding to a black hole in the case of GR. Quantum fluctuations on this classical background are investigated within the Bogoliubov approximation. It turns out that the perturbative approach is invalidated by a high occupation of the Bogoliubov modes. Recently, it was proposed that a black hole is a Bose-Einstein condensate of gravitons that dynamically ensures to stay at the verge of a quantum phase transition. Our result is understood as an indication for that claim. Furthermore, it motivates a non-linear numerical analysis of the model.
11 pages
References in corpus (4)
Cited by in corpus (15)
- Quantum Compositeness of Gravity: Black Holes, AdS and Inflation
- Black Hole Formation and Classicalization in Ultra-Planckian 2 -> N Scattering
- Scrambling in the Black Hole Portrait
- Black holes as self-sustained quantum states, and Hawking radiation
- Nambu-Goldstone Effective Theory of Information at Quantum Criticality
- On the number of soft quanta in classical field configurations
- Quantum Portrait of a Black Hole with Pöschl-Teller Potential
- Decay of Graviton Condensates and their Generalizations in Arbitrary Dimensions
- Bose-Einstein Condensates with Derivative and Long-Range Interactions as Set-Ups for Analog Black Holes
- High-Energy Gravitational Scattering and Bose-Einstein Condensates of Gravitons
- Self-similar Evaporation and Collapse in the Quantum Portrait of Black Holes
- Photons in a Ball
- Thoughts on the Vacuum Energy in the Quantum N-Portrait
- Stückelberg Formulation of Holography
- Surface tension of the horizon