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

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–...

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Main Authors: M. A. Anacleto, C. H. G. Bessa, F. A. Brito, A. E. Mateus, E. Passos, J. R. L. Santos
Format: Article
Language:English
Published: SpringerOpen 2022-04-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-10303-2
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author M. A. Anacleto
C. H. G. Bessa
F. A. Brito
A. E. Mateus
E. Passos
J. R. L. Santos
author_facet M. A. Anacleto
C. H. G. Bessa
F. A. Brito
A. E. Mateus
E. Passos
J. R. L. Santos
author_sort M. A. Anacleto
collection DOAJ
description 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.
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spelling doaj.art-a53140d69f334812b6af0c2fde7d8ab32022-12-22T00:08:06ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-04-0182411010.1140/epjc/s10052-022-10303-2LIV effects on the quantum stochastic motion in an acoustic FRW-geometryM. A. Anacleto0C. H. G. Bessa1F. A. Brito2A. E. Mateus3E. Passos4J. R. L. Santos5Departamento de Física, Universidade Federal de Campina GrandeDepartamento de Física, Universidade Federal de Campina GrandeDepartamento de Física, Universidade Federal de Campina GrandeDepartamento de Física, Universidade Federal de Campina GrandeDepartamento de Física, Universidade Federal de Campina GrandeDepartamento de Física, Universidade Federal de Campina GrandeAbstract 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.https://doi.org/10.1140/epjc/s10052-022-10303-2
spellingShingle M. A. Anacleto
C. H. G. Bessa
F. A. Brito
A. E. Mateus
E. Passos
J. R. L. Santos
LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
European Physical Journal C: Particles and Fields
title LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
title_full LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
title_fullStr LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
title_full_unstemmed LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
title_short LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
title_sort liv effects on the quantum stochastic motion in an acoustic frw geometry
url https://doi.org/10.1140/epjc/s10052-022-10303-2
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