Finite Temperature Phase Transition in $\phi^6$ potential

TL;DR

This paper analytically examines the finite temperature phase transition in a scalar ^6 potential, revealing a first-order transition in the thin-wall limit and second-order in the thick-wall limit, across quantum and thermal regimes.

Contribution

It provides an analytical study of the temperature dependence of the action in ^6 potentials, characterizing the order of phase transitions in different wall regimes.

Findings

First-order phase transition in thin-wall limit.

Second-order phase transition in thick-wall limit.

Analytical expressions for action at finite temperature.

Abstract

The temperature dependance of the action in the thin-wall and thick-wall limits is obtained analytically for the $\phi^6$ scalar potential. The nature of the phase transition is investigated from the quantum tunnelling regime at low temperatures to the thermal hopping regime at high temperatures. It is first-order for the case of a thin wall while for the thick wall it is second- order.