Microscopic Picture of Non-Relativistic Classicalons

Understand

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.