Quantum Brownian motion induced by fluctuating boundaries and compactification
arXiv:2503.17890 · doi:10.1140/epjc/s10052-025-14623-x
Abstract
In this work, we investigate the quantum Brownian motion of a point charge arising as a consequence of two fluctuating point-like boundaries. The study considers Dirichlet, Neumann, and mixed boundary conditions imposed on a real massless scalar field. Additionally, we analyze the effects of a fluctuating compactification length on the random motion of the point charge, induced by the imposition of a quasi-periodic condition on the scalar field. By associating a wave function with the length scale of each system, we demonstrate that typical divergences, which commonly appear in scenarios with fixed boundaries and compactification size, are effectively smoothed out. This approach generalizes and extends previous results found in the literature, offering new insights into the regularization of divergences appearing in idealized systems.
16 pages, 7 figures, 1 table; matches the published version in EPJC
References in corpus (10)
- Anomalies in electrostatic calibrations for the measurement of the Casimir force in a sphere-plane geometry
- Vacuum fluctuations and Brownian motion of a charged test particle near a reflecting boundary
- Vacuum currents induced by a magnetic flux around a cosmic string with finite core
- Brownian motion of a charged test particle near a reflecting boundary at finite temperature
- Vacuum polarization by a flat boundary in cosmic string spacetime
- Quantum Brownian motion near a point-like reflecting boundary
- Probing thermal fluctuations through scalar test particles
- Probing spatial orientability of Friedmann--Robertson--Walker spatially flat spacetime
- Inquiring electromagnetic quantum fluctuations about the orientability of space
- Quantum Brownian motion induced by an inhomogeneous tridimensional space and a topological space-time