Phase transitions and bubble nucleations for a phi^6 model in curved spacetime

TL;DR

This paper investigates phase transitions and bubble nucleation in a phi^6 scalar field model within a (2+1)D curved spacetime, analyzing the effects of curvature, temperature, and gravity coupling on the dynamics.

Contribution

It provides a regularized one-loop effective potential for the phi^6 model in curved spacetime and derives an exact solution for bubble dynamics in the thin wall approximation.

Findings

Phi^6 potential regularized in (2+1)D curved spacetime

Finite temperature effects on phase transitions analyzed

Exact solution for bubble damping motion derived

Abstract

Condsidering a massive self-interacting phi ^6 scalar field coupled arbitrarily to a (2+1) dimensional Bianchi type-I spacetime, we evaluate the one-loop effective potential. It is found that phi ^6 potential can be regularized in (2+1) dimensional curved spacetime. A finite expression for the energy-momentum tensor is obtained for this model. Evaluating the finite temperature effective potential, the temperature dependence of phase transitions is studied. The crucial dependence of the phase transitions on the spacetime curvature and on the coupling to gravity are also verified. We also discuss the nucleation of bubbles in a phi ^6 model. It is found that there exists an exact solution for the damped motion of the bubble in the thin wall regime.