Vacuum decay by p-branes production

TL;DR

This paper generalizes the calculation of vacuum decay via p-brane nucleation in N-dimensional (anti-)de Sitter spacetimes using a semiclassical Euclidean approach.

Contribution

It extends previous models to higher dimensions and provides a method to compute the nucleation coefficient for spherical p-branes in these settings.

Findings

Derived a formula for p-brane nucleation coefficient in N dimensions

Applied semiclassical Euclidean methods to analyze vacuum decay

Generalized previous 4D results to higher-dimensional spacetimes

Abstract

We present a generalization to the N-dimensional case for the nucleation coefficient of a spherical p-brane, separating two (anti-)de Sitter spacetimes. We use a semiclassical approximation based on the analytical continuation to the Euclidean sector of a suitable effective action describing a p-brane in General Relativity.