Vacuum Energy Decay

TL;DR

This paper investigates the decay of vacuum energy by analyzing the vacuum survival amplitude over finite time spans, focusing on late-time behavior at first order in the coupling constant.

Contribution

It introduces a method to analyze vacuum energy decay using transition amplitudes over finite times and discusses their late-time behavior at first order in coupling.

Findings

Late-time behavior of vacuum survival amplitude analyzed.

Transition amplitudes computed for finite time spans.

First-order effects in the coupling constant examined.

Abstract

The problem of the vacuum energy decay is studied through the analysis of the vacuum survival amplitude ${\mathcal A}(z, z')$. Transition amplitudes are computed for finite time-span, $Z\equiv z^\prime-z$, and their {\em late time} behavior is discussed up to first order in the coupling constant, $\l$.