The Casimir effect: Recent controversies and progress

Abstract

The phenomena implied by the existence of quantum vacuum fluctuations, grouped under the title of the Casimir effect, are reviewed, with emphasis on new results discovered in the past four years. The Casimir force between parallel plates is rederived as the strong-coupling limit of $\delta$-function potential planes. The role of surface divergences is clarified. A summary of effects relevant to measurements of the Casimir force between real materials is given, starting from a geometrical optics derivation of the Lifshitz formula, and including a rederivation of the Casimir-Polder forces. A great deal of attention is given to the recent controversy concerning temperature corrections to the Casimir force between real metal surfaces. A summary of new improvements to the proximity force approximation is given, followed by a synopsis of the current experimental situation. New results on Casimir self-stress are reported, again based on $\delta$- function potentials. Progress in understanding divergences in the self-stress of dielectric bodies is described, in particular the status of a continuing calculation of the self-stress of a dielectric cylinder. Casimir effects for solitons, and the status of the so-called dynamical Casimir effect, are summarized. The possibilities of understanding dark energy, strongly constrained by both cosmological and terrestrial experiments, in terms of quantum fluctuations are discussed. Throughout, the centrality of quantum vacuum energy in fundamental physics in emphasized.

80 pages, 7 eps figures, uses iopart.cls and iopams.sty

References in corpus (133)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• The Cosmological Constant and Dark Energy
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological parameters from SDSS and WMAP
• Cosmological Results from High-z Supernovae
• Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
• Measurement of the Casimir force between parallel metallic surfaces
• Sub-millimeter tests of the gravitational inverse-square law: A search for "large" extra dimensions
• Nonlinear Micromechanical Casimir Oscillator
• Measurement of the Casimir force between dissimilar metals
• New Experimental Limits on Macroscopic Forces Below 100 Microns
• Quark confinement and the bosonic string
• Template-stripped gold surfaces with 0.4 nm rms roughness suitable for force measurements. Application to the Casimir force in the 20-100 nm range
• Impact of the Casimir-Polder Potential and Johnson Noise on Bose-Einstein Condensate Stability near Surfaces
• Demonstration of the Lateral Casimir Force
• Infinitely Large New Dimensions
• Repulsive Casimir forces
• The Casimir Effect: Physical Manifestations of Zero Point Energy
• New dark energy constraints from supernovae, microwave background and galaxy clustering
• Gravitational Condensate Stars: An Alternative to Black Holes
• Improved tests of extra-dimensional physics and thermal quantum field theory from new Casimir force measurements
• Measurement of quantum states of neutrons in the Earth's gravitational field
• Improved Precision Measurement of the Casimir Force
• Casimir Effect on the Worldline
• Violation of the Nernst heat theorem in the theory of thermal Casimir force between Drude metals
• Casimir force at both non-zero temperature and finite conductivity
• The Dirichlet Casimir Problem
• Casimir effect for a $D$-dimensional sphere
• Casimir-Polder forces: A non-perturbative approach
• Complete roughness and conductivity corrections for the recent Casimir force measurement
• Experimental and Theoretical Investigation of the Lateral Casimir Force Between Corrugated Surfaces
• On the ground state energy for a penetrable sphere and for a dielectric ball
• Theory of quantum radiation observed as sonoluminescence
• Gauge Theories with Cayley-Klein $SO(2;j)$ and $SO(3;j)$ Gauge Groups
• Sonoluminescence as quantum vacuum radiation
• The Casimir Effect and Geometric Optics
• Enhancing Acceleration Radiation from Ground-State Atoms via Cavity Quantum Electrodynamics
• Theory confronts experiment in the Casimir force measurements: quantification of errors and precision
• Casimir Energies in Light of Quantum Field Theory
• Constraints for hypothetical interactions from a recent demonstration of the Casimir force and some possible improvements
• Coupled surface polaritons and the Casimir force
• Identity of the van der Waals Force and the Casimir Effect and the Irrelevance of these Phenomena to Sonoluminescence
• Casimir-Polder interaction between an atom and a cavity wall under the influence of real conditions
• Resonant cavity photon creation via the dynamical Casimir effect
• The Casimir force between rough metallic plates
• Mode-by-mode summation for the zero point electromagnetic energy of an infinite cylinder
• Correction to the Casimir force due to the anomalous skin effect
• Systematics of the Relationship between Vacuum Energy Calculations and Heat Kernel Coefficients
• Observability of the Bulk Casimir Effect: Can the Dynamical Casimir Effect be Relevant to Sonoluminescence?
• A Priori Probability Distribution of the Cosmological Constant
• Non perturbative approach to Casimir interactions in periodic geometries
• Energy of the vacuum with a perfectly conducting and infinite cylindrical surface
• Casimir interaction between two concentric cylinders: exact versus semiclassical results
• Complete zeta-function approach to the electromagnetic Casimir effect for spheres and circles
• Constrains on non-Newtonian gravity from the experiment on neutron quantum states in the Earth's gravitational field
• Borcherds symmetries in M-theory
• Comment on Repulsive Casimir Forces
• Effects of electrostatic fields and Casimir force on cantilever vibrations
• The critical Casimir force and its fluctuations in lattice spin models: exact and Monte Carlo results
• New features of the thermal Casimir force at small separations
• Current Short-Range Tests of the Gravitational Inverse Square Law
• Casimir Forces: An Exact Approach for Periodically Deformed Objects
• Bouncing Brane Cosmologies from Warped String Compactifications
• Scalar Casimir effect for D-dimensional spherically symmetric Robin boundaries
• Casimir Energy for a Spherical Cavity in a Dielectric: Applications to Sonoluminescence
• Comment on "Demonstration of the Casimir Force in the 0.6 to 6 micrometer Range"
• Linear in temperature correction to the Casimir force
• Sonoluminescence as a QED vacuum effect. I: The Physical Scenario
• Radiative Correction to the Casimir Force on a Sphere
• Nonsmooth backgrounds in quantum field theory
• The Cosmological Constant Problems (Talk given at Dark Matter 2000, February, 2000)
• Casimir's energy of a conducting sphere and of a dilute dielectric ball
• Quantum Energies of Interfaces
• Temperature correction to the Casimir force in cryogenic range and anomalous skin effect
• Negative Energy Densities in Quantum Field Theory With a Background Potential
• A Detection of the Integrated Sachs-Wolfe Effect
• Casimir forces, surface fluctuations, and thinning of superfluid films
• On the importance of testing gravity at distances less than 1cm
• Regularized Casimir energy for an infinite dielectric cylinder subject to light-velocity conservation
• The Casimir Effect for Fermions in One Dimension
• Vector Casimir effect for a D-dimensional sphere
• Vacuum densities and zero-point energy for fields obeying Robin conditions on cylindrical surfaces
• The heat kernel coefficients for the dielectric cylinder
• Calculating Casimir Energies in Renormalizable Quantum Field Theory
• The history of the cosmological constant problem
• Comment on "Thermal Effects on the Casimir Force in the 0.1-5 micrometer Range"
• Casimir Force between a Dielectric Sphere and a Wall: A Model for Amplification of Vacuum Fluctuations
• Comment on "Enhancing Acceleration Radiation from Ground-State Atoms via Cavity Quantum Electrodynamics"
• New Challenges and Directions in Casimir Force Experiments
• Comment on ''Surface-impedance approach solves problems with the thermal Casimir force between real metals''
• Precise calculation of the Casimir force between gold surfaces
• Constraints on extra dimensions from cosmological and terrestrial measurements
• Dispersive force between dissimilar materials: geometrical effects
• Casimir effect between dissimilar materials: a test for the proximity theorem
• Vortex Fluctuations in the Critical Casimir Effect of Superfluid and Superconducting Films
• Sonoluminescence: Two-photon correlations as a test of thermality
• Vacuum fluctuations and moving atoms/detectors: From Casimir-Polder to Unruh effect
• Casimir effect in dielectrics: Bulk Energy Contribution
• Schwinger's Dynamical Casimir Effect: Bulk Energy Contribution
• Sonoluminescence: Bogolubov coefficients for the QED vacuum of a time-dependent dielectric bubble
• Worldline Approach To The Casimir Effect
• Casimir effect in dielectrics: Surface area contribution
• Influence of a magnetic fluxon on the vacuum energy of quantum fields confined by a bag
• Search for a Scalar Bottom Quark with Mass 3.5-4.5 GeV/$c^2$
• Sonoluminescence as a QED vacuum effect. II: Finite Volume Effects
• Electromagnetic vacuum fluctuations, Casimir and Van der Waals forces
• Reconsidering the quantization of electrodynamics with boundary conditions and some measurable consequences
• Parametric Resonance in a Vibrating Cavity
• Comment on Casimir energy for spherical boundaries
• Casimir effect for a dilute dielectric ball at finite temperature
• Quasi-Fixed Points and Charge and Colour Breaking in Low Scale Models
• What is the Temperature Dependence of the Casimir Force between Real Metals?
• Temperature Dependence of the Casimir Force for Metals
• Vilkovisky-DeWitt Effective Action for Einstein Gravity on Kaluza-Klein Spacetimes $M^4\times S^N$
• Gravitational Experiment Below 1 Millimeter and Comment on Shielded Casimir Backgrounds for Experiments in the Micron Regime
• Viscous Cosmology, Entropy, and the Cardy-Verlinde Formula
• The Casimir Problem of Spherical Dielectrics: A Solution in Terms of Quantum Statistical Mechanics
• Dark Energy as Evidence for Extra Dimensions
• Numerical simulation of vacuum particle production: applications to cosmology, dynamical Casimir effect and time-dependent non-homogeneous dielectrics
• The Low-Frequency Character of the Thermal Correction to the Casimir Force between Metallic Films
• The Casimir force between real mirrors at non zero temperature
• Can a pseudo-symmetry solve the cosmological constant problem?
• New developments in the quantization of supersymmetric solitons (kinks, vortices and monopoles)
• Sonoluminescence and the Heimlich Effect
• Casimir force between a sphere and a plane: spectral representation formalism
• Properties of metallic films in precise calculation of the Casimir force
• Comment on "Does the transverse electric zero mode contribute to the Casimir effect for a metal?"
• Geometry Dependence of Casimir Forces beyond the Proximity Approximation
• Generalized Bogoliubov Transformation, Fermion Field and Casimir Effect in a Box

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• A Materials Perspective on Casimir and van der Waals Interactions
• Current status of the Dynamical Casimir Effect
• Finite temperature Casimir effect for graphene
• New asymptotic behaviour of the surface-atom force out of thermal equilibrium
• Effect of the Casimir-Polder force on the collective oscillations of a trapped Bose-Einstein condensate
• Gradient of the Casimir force between Au surfaces of a sphere and a plate measured using atomic force microscope in a frequency shift technique
• On the torque on birefringent plates induced by quantum fluctuations
• On the Temperature Dependence of the Casimir Effect
• Detecting Chameleons through Casimir Force Measurements
• Thermal quantum field theory and the Casimir interaction between dielectrics
• Thermal corrections to the Casimir effect
• The proximity force approximation for the Casimir energy as a derivative expansion
• Casimir Interactions for Anisotropic Magnetodielectric Metamaterials
• Investigation of the Casimir interaction between two magnetic metals in comparison with nonmagnetic test bodies
• Towards a precision measurement of the Casimir force in a cylinder-plane geometry
• Virtual photons in imaginary time: Computing exact Casimir forces via standard numerical-electromagnetism techniques
• Nonlocal impedances and the Casimir entropy at low temperatures
• Casimir forces and non-Newtonian gravitation
• Exploring the van der Waals Atom-Surface attraction in the nanometric range
• Multiple Scattering Methods in Casimir Calculations
• Comment on "On the temperature dependence of the Casimir effect"
• Analytical and Numerical Verification of the Nernst Theorem for Metals
• The Role of Surface Plasmons in The Casimir Effect
• Towards measuring variations of Casimir energy by a superconducting cavity
• Exact zero-point interaction energy between cylinders
• Non-touching nanoparticle diclusters bound by repulsive and attractive Casimir forces
• Rectification of the lateral Casimir force in a vibrating non-contact rack and pinion
• Present status of controversies regarding the thermal Casimir force
• Multidimensional cut-off technique, odd-dimensional Epstein zeta functions and Casimir energy of massless scalar fields
• Variations of Casimir energy from a superconducting transition
• What is the Temperature Dependence of the Casimir Effect?
• Roughness correction to the Casimir force at short separations: Contact distance and extreme value statistics
• Modifying the Casimir force between indium tin oxide film and Au sphere
• The lateral Casimir force beyond the proximity force approximation: a nontrivial interplay between geometry and quantum vacuum
• Thermal noise limitations to force measurements with torsion pendulums: Applications to the measurement of the Casimir force and its thermal correction
• Quantum vacuum energies and Casimir forces between partially transparent $\delta$-function plates
• The distance upon contact: Determination from roughness profile
• Significance of the Casimir force and surface roughness for actuation dynamics of MEMS
• The Casimir Force in a Lorentz Violating Theory
• Analytic approach to the thermal Casimir force between metal and dielectric
• The Casimir Force in Randall Sundrum Models
• Comments on the Sign and Other Aspects of Semiclassical Casimir Energies
• Finite temperature Casimir energy in closed rectangular cavities: a rigorous derivation based on zeta function technique
• Wightman function and vacuum fluctuations in higher dimensional brane models
• Johnson noise and the thermal Casimir effect
• Unified approach to QED in arbitrary linear media
• Microscopic theory of the Casimir force at thermal equilibrium: large-separation asymptotics
• Casimir Energy for a Dielectric Cylinder
• Relativistic mechanics of Casimir apparatuses in a weak gravitational field
• Classical and fluctuation-induced electromagnetic interactions in micronscale systems: designer bonding, antibonding, and Casimir forces
• Recent Developments in the Casimir Effect
• On the vacuum energy of a spherical plasma shell
• Casimir effect in a one-dimensional gas of free fermions
• $\delta -{\delta }^{\prime }$ generalized Robin boundary conditions and quantum vacuum fluctuations
• Kelvin probe force microscopy of metallic surfaces used in Casimir force measurements
• Thermal corrections in Casimir interaction between metal and dielectric
• Casimir effect for thin films in QED
• Modal Approach to Casimir Forces in Periodic Structures
• Casimir interaction from magnetically coupled eddy currents
• Generalized plasma-like permittivity and thermal Casimir force between real metals
• Magnetic materials and the problem of thermal Casimir force
• Resource Letter VWCPF-1: Van der Waals and Casimir-Polder forces
• Critical Casimir Effect: Exact Results
• Casimir Effect confronts Cosmological Constant
• Quantum dissipative Brownian motion and the Casimir effect
• Casimir force between two ideal-conductor walls revisited
• Experiment, theory and the Casimir effect
• Quantum friction between graphene sheets
• Giant Casimir torque between rotated gratings and the $\theta =0$ anomaly
• Vacuum Energy, the Cosmological Constant and Compact Extra Dimensions: Constraints from Casimir Effect Experiments
• Tuning quantum fluctuations with an external magnetic field: Casimir-Polder interaction between an atom and a graphene sheet
• Sign Flip in the Casimir Force for Interacting Fermion Systems
• Finite Temperature Casimir Effect in Kaluza-Klein Spacetime
• Achieving a Strongly Temperature-Dependent Casimir Effect
• How does Casimir energy fall? II. Gravitational acceleration of quantum vacuum energy
• Nonequilibrium Atom-Dielectric Forces Mediated by a Quantum Field
• Towards detecting traces of non-contact quantum friction in the corrections of the accumulated geometric phase
• The quest for Casimir repulsion between Chern-Simons surfaces
• Stable suspension and dispersion-induced transitions from repulsive Casimir forces between fluid-separated eccentric cylinders
• Casimir force between Weyl semimetals in a chiral medium
• Topological Casimir effect in Maxwell Electrodynamics on a Compact Manifold
• Vacuum effects in a vibrating cavity: time refraction, dynamical Casimir effect, and effective Unruh acceleration
• Mediated interaction between polarons in a one-dimensional Bose gas
• Many-body effects for critical Casimir forces
• Roughness correction to the Casimir force beyond perturbation theory
• Quantum Gravitational Force Between Polarizable Objects
• Casimir-Polder interaction between an excited atom and a gas dielectric medium
• Casimir Friction Force and Energy Dissipation for Moving Harmonic Oscillators
• Casimir Effect for a Semitransparent Wedge and an Annular Piston
• Functional approach to the fermionic Casimir effect
• The Dirichlet Casimir effect for ${\varphi }^4$ theory in (3+1) dimensions: A new renormalization approach
• Temperature Dependence of the Casimir Force
• A new renormalization approach to the Dirichlet Casimir effect for ϕ^4 theory in (1+1) dimensions
• Boundaries and the Casimir effect in non-commutative space-time
• Tunable Casimir equilibria with phase change materials: from quantum trapping to its release
• Casimir densities for a spherical boundary in de Sitter spacetime
• Dynamics of thermal Casimir-Polder forces on polar molecules
• Functional approach to quantum friction: effective action and dissipative force
• Constraints on Spatially Oscillating Sub-mm Forces from the Stanford Levitated Microsphere Experiment Data
• The Casimir effect as a sum-over-modes in dissipative systems
• Energy-momentum tensor of a Casimir apparatus in a weak gravitational field: scalar case
• Fundamental limits to attractive and repulsive Casimir--Polder forces
• Bonding, antibonding and tunable optical forces in asymmetric membranes
• Numerical calculation of the Casimir-Polder interaction between a graphene sheet with vacancies and an atom
• Vacuum fluctuations and generalized boundary conditions
• Casimir interaction: pistons and cavity
• Geometric corrections to cosmological entanglement
• Designing evanescent optical interactions to control the expression of Casimir forces in optomechanical structures
• Numerical investigation of photon creation in a three-dimensional resonantly vibrating cavity: TE-modes
• Temperature Dependence of the Casimir Effect
• Numerical evaluation of the Casimir interaction between cylinders
• Influence of water adsorbed on gold on van der Waals/Casimir forces
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