Speaker
Ratmir Gazizov
(INR RAS & MSU)
Description
We perform numerical semiclassical calculations of the false vacuum decay probability for a scalar field in the Schwarzschild spacetime. The suppression $F$ of the decay probability $P \sim e^{-F}$ is given as a functional of a semiclassical solution. That solution is defined on a certain contour in complex time. We consider a model with potential $V(\phi)= m^2 \phi^2 / 2 + m \sqrt{\lambda} \phi^3 /2$. Semiclassical solutions were obtained numerically and used to calculate the decay probability around black holes of different masses. It was found that the decay probability remains exponentially suppressed in the limit of small black hole mass.
Primary author
Ratmir Gazizov
(INR RAS & MSU)
