False vacuum decay in a two-dimensional black hole spacetime

TL;DR

This paper develops a method to calculate false vacuum decay rates in a two-dimensional black hole spacetime, showing how decay rates vary with nucleation site location, especially near the horizon.

Contribution

It introduces a general approach for computing decay rates at arbitrary nucleation sites, extending previous work limited to the black hole center.

Findings

Decay rate increases near the black hole horizon.

Decay rate matches Minkowski spacetime when nucleation site is far away.

Method applicable to generic nucleation sites.

Abstract

We study a false vacuum decay in a two-dimensional black hole spacetime background. The decay rate in the case that nucleation site locates at a black hole center has been calculated in the literature. We develop a method for calculating the decay rate of the false vacuum for a generic nucleation site. We find that the decay rate becomes larger when the nucleation site is close to the black hole horizon and coincides with that in Minkowski spacetime when the nucleation site goes to infinity.