Exit from Inflation with a First-Order Phase Transition and a Gravitational Wave Blast

TL;DR

This paper investigates a double-field inflation model where a first-order phase transition ends inflation and generates gravitational waves, with potential observability in high-frequency gravitational wave detectors.

Contribution

The study identifies parameter conditions for first-order phase transition in an extended hybrid inflation model and computes the resulting gravitational wave signatures.

Findings

Gravitational wave peak frequency ranges from 1 GHz to 10 GHz for certain parameters.

Amplitude of gravitational waves varies between 10^{-11} and 10^{-8}.

Potential detection by Chongqing high frequency gravitational probe.

Abstract

In double-field inflation, which exploits two scalar fields, one of the fields rolls slowly during inflation whereas the other field is trapped in a meta-stable vacuum. The nucleation rate from the false vacuum to the true one becomes substantial enough that triggers a first order phase transition and ends inflation. We revisit the question of first order phase transition in an "extended" model of hybrid inflation, realizing the double-field inflationary scenario, and correctly identify the parameter space that leads to a first order phase transition at the end of inflation. We compute the gravitational wave profile which is generated during this first order phase transition. Assuming instant reheating, the peak frequency falls in the $1$ GHz to $10$ GHz frequency band and the amplitude varies in the range $10^{-11}\lesssim \Omega_{\rm GW} h^2 \lesssim 10^{-8}$, depending on the value of the cosmological constant in the false vacuum. The signature could be observed by the planned Chongqing high frequency gravitational probe. For a narrow band of vacuum energies, the first order phase transition can happen after the end of inflation via the violation of slow-roll, with a peak frequency that varies from $1$ THz to $100$ THz. For smaller values of cosmological constant, even though inflation can end via slow-roll violation, the universe gets trapped in a false vacuum whose energy drives a second phase of eternal inflation. This range of vacuum energies do not lead to viable inflationary models, unless the value of the cosmological constant is compatible with the observed value, $M\sim 10^{-3}$ eV.