Vacuum Energy Density near Fluctuating Boundaries
arXiv:quant-ph/9804056 · doi:10.1103/PhysRevD.58.065007
Abstract
The imposition of boundary conditions upon a quantized field can lead to singular energy densities on the boundary. We treat the boundaries as quantum mechanical objects with a nonzero position uncertainty, and show that the singular energy density is removed. This treatment also resolves a long standing paradox concerning the total energy of the minimally coupled and conformally coupled scalar fields.
16pp, LaTex, 3 figures, uses epsf, Three references added and several misprints corrected
References in corpus (1)
Cited by in corpus (58)
- Casimir Effect: The Classical Limit
- Systematics of the Relationship between Vacuum Energy Calculations and Heat Kernel Coefficients
- Lightcone fluctuations in flat spacetimes with nontrivial topology
- The Energy Density in the Casimir Effect
- Nonsmoothness of the boundary and the relevant heat kernel coefficients
- Wightman function and vacuum fluctuations in higher dimensional brane models
- Negative Energy Densities in Quantum Field Theory With a Background Potential
- Zero-point energy of massless scalar fields in the presence of soft and semihard boundaries in D dimensions
- Plate with a hole obeys the averaged null energy condition
- Investigations on T violation and CPT symmetry in the neutral kaon system -- a pedagogical approach --
- Field Fluctuations in a One-Dimensional Cavity with a Mobile Wall
- Finite Size Effects in the Anisotropic λ/4!(ϕ^4_1 + ϕ^4_2)_d Model
- Dispersion Interactions between Neutral Atoms and the Quantum Electrodynamical Vacuum
- Quantum Inequality Restrictions on Negative Energy Densities in Curved Spacetimes
- Stochastic Spacetime and Brownian Motion of Test Particles
- Vacuum Stress and Closed Paths in Rectangles, Pistons, and Pistols
- Quantum fluctuations of lightcone in 4-dimensional spacetime with parallel plane boundaries
- Semiclassical black holes expose forbidden charges and censor divergent densities
- Electromagnetic field fluctuations near a dielectric-vacuum boundary and surface divergences in the ideal conductor limit
- Vacuum energy densities of a field in a cavity with a mobile boundary
- Local Casimir Energy for a Wedge with circular outer boundary
- Tidal and nonequilibrium Casimir effects in free fall
- The Two-loop Massless phi^4 Model in Non-translational Invariant Domain
- Surface Vacuum Energy in Cutoff Models: Pressure Anomaly and Distributional Gravitational Limit
- Finite Size Effects in Thermal Field Theory
- Nonequilibrium dynamics of moving mirrors in quantum fields: Influence functional and Langevin equation
- Decoherence induced by long wavelength gravitons
- Electromagnetic Casimir densities for a wedge with a coaxial cylindrical shell
- Vacuum Casimir energy densities and field divergences at boundaries
- Quantum Brownian motion near a point-like reflecting boundary
- A Fluid Analog Model for Boundary Effects in Field Theory
- Vacuum energy density and pressure near a soft wall
- Vacuum fluctuations of a scalar field near a reflecting boundary and their effects on the motion of a test particle
- Casimir effect for massless minimally coupled scalar field between parallel plates in de Sitter spacetime
- Whightman function and scalar Casimir densities for a wedge with a cylindrical boundary
- Focusing Vacuum Fluctuations II
- Scalar Casimir densities for cylindrically symmetric Robin boundaries
- Vacuum Energy as Spectral Geometry
- Holographic Approach to Nonequilibrium Dynamics of Moving Mirrors Coupled to Quantum Critical Theories
- Casimir effect with non-local boundary conditions
- Wightman function and scalar Casimir densities for a wedge with two cylindrical boundaries
- Vacuum local and global electromagnetic self-energies for a point-like and an extended field source
- Local zeta regularization and the scalar Casimir effect III. The case with a background harmonic potential
- Casimir Energy Corrections by Light-Cone Fluctuations
- The Phononic Casimir Effect: An Analog Model
- Effect of boundaries on vacuum field fluctuations and radiation-mediated interactions between atoms
- Vacuum Polarization and Energy Conditions at a Planar Frequency Dependent Dielectric to Vacuum Interface
- Vacuum energy, the Casimir effect, and Newton's non-constant
- Local thermal behaviour of a massive scalar field near a reflecting wall
- Vacuum polarization with zero-range potentials on a hyperplane
- Time-dependent resonance interaction energy between two entangled atoms under non-equilibrium conditions
- When the Casimir energy is not a sum of zero-point energies
- Quantum Bound on the Specific Entropy in Strong-Coupled Scalar Field Theory
- Black hole information recovery from gravitational waves
- Quantum Brownian motion induced by fluctuating boundaries and compactification
- Casimir-Polder force density between an atom and a conducting wall
- Thermodynamics of the scalar radiation in the presence of a reflecting plane wall
- Entanglement dynamics for atoms near a reflecting boundary: Enhancement and suppression by environment-induced interactions