Saved in:
Bibliographic Details
Main Authors: Antusch, Stefan, Marschall, Kenneth, Torrenti, Francisco
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.13465
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866911678004723712
author Antusch, Stefan
Marschall, Kenneth
Torrenti, Francisco
author_facet Antusch, Stefan
Marschall, Kenneth
Torrenti, Francisco
contents We characterize the post-inflationary evolution of the equation of state of the universe from the end of inflation until the onset of radiation domination, when the inflaton is coupled to a daughter field through a trilinear interaction. We consider an inflaton potential that is quadratic near the minimum and flattens in the inflationary regime. By simulating the dynamics in 2+1-dimensional lattices, we have tracked the long-term evolution of the equation of state for about ten e-folds of expansion, for various coupling strengths. The trilinear interaction initially excites daughter field modes through a process of tachyonic resonance immediately after inflation and triggers a temporary deviation of the equation of state from $\bar{w} = 0$ to a maximum value $\bar{w} = \bar{w}_{\rm max} < 1/3$. However, at much later times, the inflaton homogeneous mode once again dominates the energy density, pushing the equation of state towards $\bar{w} = 0$ until the onset of perturbative reheating. By combining the lattice results with a Boltzmann approach, we characterize the entire post-inflationary expansion history, which allows to calculate precise predictions for the inflationary CMB observables. We also accurately compute the redshift of the stochastic gravitational wave background produced during preheating, and show that taking the temporary return of the equation of state towards $\bar{w} = 0$ into account can reduce the amplitude by many orders of magnitude relative to previous estimates.
format Preprint
id arxiv_https___arxiv_org_abs_2507_13465
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Equation of state during (p)reheating with trilinear interactions
Antusch, Stefan
Marschall, Kenneth
Torrenti, Francisco
Cosmology and Nongalactic Astrophysics
We characterize the post-inflationary evolution of the equation of state of the universe from the end of inflation until the onset of radiation domination, when the inflaton is coupled to a daughter field through a trilinear interaction. We consider an inflaton potential that is quadratic near the minimum and flattens in the inflationary regime. By simulating the dynamics in 2+1-dimensional lattices, we have tracked the long-term evolution of the equation of state for about ten e-folds of expansion, for various coupling strengths. The trilinear interaction initially excites daughter field modes through a process of tachyonic resonance immediately after inflation and triggers a temporary deviation of the equation of state from $\bar{w} = 0$ to a maximum value $\bar{w} = \bar{w}_{\rm max} < 1/3$. However, at much later times, the inflaton homogeneous mode once again dominates the energy density, pushing the equation of state towards $\bar{w} = 0$ until the onset of perturbative reheating. By combining the lattice results with a Boltzmann approach, we characterize the entire post-inflationary expansion history, which allows to calculate precise predictions for the inflationary CMB observables. We also accurately compute the redshift of the stochastic gravitational wave background produced during preheating, and show that taking the temporary return of the equation of state towards $\bar{w} = 0$ into account can reduce the amplitude by many orders of magnitude relative to previous estimates.
title Equation of state during (p)reheating with trilinear interactions
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2507.13465