LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
General Relativity and Quantum Cosmology
2022-05-11 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2106.09684,
title = {LIV effects on the quantum stochastic motion in an acoustic FRW-geometry},
author = {M. A. Anacleto and C. H. G. Bessa and F. A. Brito and A. E. Mateus and E. Passos and J. R. L. Santos},
journal= {arXiv preprint arXiv:2106.09684},
year = {2022}
}
Comments
11 pages, 2 figures, version accepted in EPJC