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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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Details
1 Universidade Federal de Campina Grande, Departamento de Física, Campina Grande, Brazil (GRID:grid.411182.f) (ISNI:0000 0001 0169 5930)
2 Universidade Federal de Campina Grande, Departamento de Física, Campina Grande, Brazil (GRID:grid.411182.f) (ISNI:0000 0001 0169 5930); Universidade Federal da Paraíba, Departamento de Física, João Pessoa, Brazil (GRID:grid.411216.1) (ISNI:0000 0004 0397 5145)