False Vacuum Transitions - Analytical Solutions and Decay Rate Values

TL;DR

This paper presents analytical solutions for oscillating domain wall configurations in Euclidean space and calculates false vacuum decay rates, enhancing understanding of phase transitions in quantum field theory.

Contribution

It introduces a new class of analytical solutions for oscillating domain walls and computes decay rates from fluctuation determinants, advancing theoretical insights.

Findings

Analytical solutions for oscillating domain walls

Decay rates derived from fluctuation determinants

Enhanced understanding of false vacuum phase transitions

Abstract

In this work we show a class of oscillating configurations for the evolution of the domain walls in Euclidean space. The solutions are obtained analytically. Phase transitions are achieved from the associated fluctuation determinant, by the decay rates of the false vacuum.