LIV effects on the quantum stochastic motion in an acoustic FRW-geometry

TL;DR

This paper investigates how Lorentz Invariance Violation affects the quantum stochastic motion of particles in an acoustic FRW universe, revealing velocity deviations linked to LIV parameters.

Contribution

It introduces a model of LIV in an acoustic FRW geometry and analyzes its impact on quantum stochastic motion of particles, highlighting velocity dispersion deviations.

Findings

Velocity dispersion deviations proportional to LIV parameter

LIV influences quantum Brownian motion in acoustic geometries

Scalar particle motion is affected by LIV effects

Abstract

It is well known in the literature that vacuum fluctuations can induce a random motion of particles which is sometimes called quantum Brownian motion or quantum stochastic motion. In this paper, we consider Lorentz Invariance Violation (LIV) in an acoustic spatially flat Friedman-Robertson-Walker (FRW) geometry. In particular, we are looking for the LIV effects in the stochastic motion of scalar and massive test particles. This motion is induced by a massless quantized scalar field on this geometry, which in turn is derived from an Abelian Higgs model with LIV. Deviations in the velocity dispersion of the particles proportional to the LIV parameter are found.