Stochastic motion in an expanding noncommutative fluid
High Energy Physics - Theory
2021-06-30 v2 General Relativity and Quantum Cosmology
Abstract
A model for an expanding noncommutative acoustic fluid analogous to a Friedmann-Robertson-Walker geometry is derived. For this purpose, a noncommutative Abelian Higgs model is considered in a (3+1)-dimensional spacetime. In this scenario, we analyze the motion of test particles in this fluid. The study considers a scalar test particle coupled to a quantized fluctuating massless scalar field. For all cases studied, we find corrections due to the noncommutativity in the mean squared velocity of the particles. The nonzero velocity dispersion for particles that are free to move on geodesics disagrees with the null result found previously in the literature for expanding commutative fluid.
Cite
@article{arxiv.2012.12212,
title = {Stochastic motion in an expanding noncommutative fluid},
author = {M. A. Anacleto and C. H. G. Bessa and F. A. Brito and E. J. B. Ferreira and E. Passos},
journal= {arXiv preprint arXiv:2012.12212},
year = {2021}
}
Comments
16 pages, 4 figures, version accepted in PRD