Inflationary Spectra from Lorentz Violating Dissipative Models

TL;DR

This paper investigates how Lorentz-violating dissipative effects during inflation can alter the primordial power spectrum, showing that the main modifications depend linearly on the decay rate at horizon exit and do not produce high-frequency oscillations.

Contribution

It introduces a phenomenological model coupling inflationary fluctuations to extra degrees of freedom with dissipation, analyzing the resulting spectral modifications both analytically and numerically.

Findings

Standard spectrum is recovered if the extra degrees of freedom are in the ground state and $\Lambda extgreater H$

Leading modifications are linear in the decay rate at horizon exit

High frequency superimposed oscillations are not generated

Abstract

The sensitivity of inflationary spectra to initial conditions is addressed in the context of a phenomenological model that breaks Lorentz invariance by dissipative effects above some threshold energy $\Lambda$. These effects are obtained dynamically by coupling the fluctuation modes to extra degrees of freedom which are unobservable below $\Lambda$. Because of the strong dissipative effects in the early propagation, only the state of the extra degrees of freedom is relevant for the power spectrum. If this state is the ground state, and if $\Lambda$ is much larger than the Hubble scale $H$, the standard spectrum is recovered. Using analytical and numerical methods, we calculate the modifications for a large class of dissipative models. For all of these, we show that the leading modification (in an expansion in $H/\Lambda$) is linear in the decay rate evaluated at horizon exit, and that high frequency superimposed oscillations are not generated. The modification is negative when the decay rate decreases slower than the cube of $H$, which means that there is a loss of power on the largest scales.