Critical phenomena of thick branes in warped spacetimes

TL;DR

This paper explores how first-order phase transitions in the bulk affect the structure and critical behavior of thick branes in warped spacetimes, revealing geometrical influences on critical temperature and phase interface dynamics.

Contribution

It introduces a detailed analysis of phase transition effects on thick branes, highlighting the impact of geometry on critical phenomena and metric fluctuations.

Findings

Critical temperature is lowered by geometrical effects.

Interface splitting occurs near the phase transition.

Evolution of metric fluctuations is characterized.

Abstract

We have investigated the effects of a generic bulk first-order phase transition on thick Minkowski branes in warped geometries. As occurs in Euclidean space, when the system is brought near the phase transition an interface separating two ordered phases splits into two interfaces with a disordered phase in between. A remarkable and distinctive feature is that the critical temperature of the phase transition is lowered due to pure geometrical effects. We have studied a variety of critical exponents and the evolution of the transverse-traceless sector of the metric fluctuations.