New Developments in the Casimir Effect

Abstract

We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its strong dependence on shape, switching from attractive to repulsive as function of the size, geometry and topology of the boundary. Thus the Casimir force is a direct manifestation of the boundary dependence of quantum vacuum. We discuss in depth the general structure of the infinities in the field theory which are removed by a combination of zeta-functional regularization and heat kernel expansion. Different representations for the regularized vacuum energy are given. The Casimir energies and forces in a number of configurations of interest to applications are calculated. We stress the development of the Casimir force for real media including effects of nonzero temperature, finite conductivity of the boundary metal and surface roughness. Also the combined effect of these important factors is investigated in detail on the basis of condensed matter physics and quantum field theory at nonzero temperature. The experiments on measuring the Casimir force are also reviewed, starting first with the older measurements and finishing with a detailed presentation of modern precision experiments. The latter are accurately compared with the theoretical results for real media. At the end of the review we provide the most recent constraints on the corrections to Newtonian gravitational law and other hypothetical long-range interactions at submillimeter range obtained from the Casimir force measurements.

275 pages,29 figures, to appear in Physics Reports

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• Zeta Functions and the Casimir Energy
• Short-range tests of the equivalence principle
• Casimir force between partially transmitting mirrors
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• Constraints on non-Newtonian gravity from the Casimir force measurements between two crossed cylinders
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• Dirac/Weyl-node-induced oscillating Casimir effect
• Critical Casimir amplitudes for $n$-component ${\varphi }^4$ models with O(n)-symmetry breaking quadratic boundary terms
• Casimir Force for Absorbing Media in an Open Quantum System Framework: Scalar Model
• Casimir Energy For a Massive Dirac Field in One Spatial Dimension: A Direct Approach
• Casimir force between planes as a boundary finite size effect
• Detectable Signature of Quantum Friction on a Sliding Particle in Vacuum
• On electrostatic and Casimir force measurements between conducting surfaces in a sphere-plane configuration
• The Casimir effect for parallel plates involving massless Majorana fermions at finite temperature
• Casimir energy for surfaces with constant conductivity
• Finite temperature Casimir effect for massive scalars in a magnetic field
• Inertial forces in the Casimir effect with two moving plates
• About universes with scale-related total masses and their abolition of presently outstanding cosmological problems
• Isotopic Dependence of the Casimir Force
• Finite-Element Simulation of Casimir Forces in Arbitrary Geometries
• Geothermal Casimir Phenomena
• Heat kernel coefficients on the sphere in any dimension
• Negative Pressures in QED Vacuum in an External Magnetic Field
• Local and Global Casimir Energies: Divergences, Renormalization, and the Coupling to Gravity
• Casimir effect with dynamical matter on thin mirrors
• Casimir Effect at finite temperature for the Kalb-Ramond field
• Tunnelling and dynamical violation of the Null Energy Condition
• Electrostatic Interaction due to Patch Potentials on Smooth Conducting Surfaces
• Crossover from low-temperature to high-temperature fluctuations. I. Thermodynamic Casimir forces of isotropic systems
• Crossover from low-temperature to high-temperature fluctuations. II. Nonuniversal thermodynamic Casimir forces of anisotropic systems
• Polarization of the vacuum of a quantized scalar field by an impenetrable magnetic vortex of finite thickness
• Casimir energy and topological mass for a massive scalar field with Lorentz violation
• Acceleration of the Universe driven by the Casimir force
• Derivative expansion of the heat kernel at finite temperature
• Confined quantum fields under the influence of a uniform magnetic field
• Derivative expansion of the heat kernel in curved space
• Critical Casimir forces for $\mathcal{O}(n)$ systems with long-range interaction in the spherical limit
• Field of homogeneous Plane in Quantum Electrodynamics
• The Casimir force on a piston in Randall-Sundrum models
• Remnants of the nonrelativistic Casimir effect on the lattice
• Quantum mass correction for the twisted kink
• Theta term in a bounded region
• Neumann Casimir effect: a singular boundary-interaction approach
• Repulsive Casimir force in Bose-Einstein Condensate
• Casimir effect of massive vector fields
• Casimir Effect, Achucarro-Ortiz Black Hole and the Cosmological Constant
• Magnetoelectric boundary simulated by a Chern-Simons-like model
• Dynamical approach to the Casimir effect
• Fluctuation-induced Interactions in Micro- and Nano-systems: Survey of Some Basic Results
• Gravitational Casimir effect at finite temperature
• Impact of amplifying media on the Casimir force
• Fluctuation-Induced Interactions and the Spin Glass Transition in $F{e}_{2}Ti{O}_5$
• Time-dependent Casimir-Polder forces and partially dressed states
• Vacuum fluctuations and topological Casimir effect in Friedmann-Robertson-Walker cosmologies with compact dimensions
• Casimir Effect in $E^3$ closed spaces
• Local Casimir Effect for a Scalar Field in Presence of a Point Impurity
• Search for exotic interactions of solar neutrinos in the CDEX-10 experiment
• Optical-approximation analysis of sidewall-spacing effects on the force between two squares with parallel sidewalls
• Casimir energies with finite-width mirrors
• The Casimir zero-point radiation pressure
• Derivative expansion for the boundary interaction terms in the Casimir effect: generalized $\delta$-potentials
• Casimir force calculations near the insulator-conductor transition in gold thin films
• Towards observational constraints on negative (1+z)^4 type contribution in the Friedmann equation
• Exact results for the behavior of the thermodynamic Casimir force in a model with a strong adsorption
• Zero Casimir Force in Axion Electrodynamics and the Search for a New Force
• Searching spin-mass interaction using a diamagnetic levitated magnetic resonance force sensor
• Casimir Energy for concentric $\delta$-${\delta }^{\prime }$ spheres
• Dispersion coefficients for the interactions of the alkali and alkaline-earth ions and inert gas atoms with a graphene layer
• Critical Casimir forces for O(N) models from functional renormalization
• The Casimir effect for parallel plates in the spacetime with a fractal extra compactified dimension
• Casimir force in the rotor model with twisted boundary conditions
• Dirichlet Casimir Energy for a Scalar Field in a Sphere: An Alternative Method
• Long range Casimir force induced by transverse electromagnetic modes
• The Casimir effect for a cavity in the presence of compactified universal extra dimension
• The Casimir effect at finite temperature in the presence of compactified universal extra dimensions
• Dynamical Casimir effect in a periodically changing domain: A dynamical systems approach
• Kappa-deformed quantum field theory and Casimir effect
• Entropy bounds for massive scalar field in positive curvature space
• Attractive Casimir effect in an infrared modified gluon bag model
• Fermi-Einstein condensation in dense QCD-like theories
• Perturbative zero-point energy for a cylinder of elliptical section
• Virtual Black Holes and the S-matrix
• NLO radiative correction to the Casimir energy in Lorentz-violating scalar field theory
• Boundary Conditions as Dynamical Fields
• Scalar Casimir densities for cylindrically symmetric Robin boundaries
• Spontaneous symmetry breaking in replica field theory
• Macroscopic quantum vacuum and microscopic gravitation
• Energy loss mechanism for suspended micro- and nanoresonators due to the Casimir force
• Casimir energy and the superconducting phase transition
• Whightman function and scalar Casimir densities for a wedge with a cylindrical boundary
• Dynamical Casimir Effect for Two Oscillating Mirrors in 3-D
• Casimir Effect in the Presence of External Fields
• Calculation of the Casimir Force between Similar and Dissimilar Metal Plates at Finite Temperature
• Proposal for an experiment to search for Randall-Sundrum type corrections to Newton's law of gravitation
• Casimir Pistons with General Boundary Conditions
• Inter-electron interactions and the RKKY potential between H adatoms in graphene
• Landauer's formula breakdown for radiative heat transfer and non-equilibrium Casimir forces
• Critical and near critical phase behaviour and interplay between the thermodynamic Casimir and van der Waals forces in confined non-polar fluid medium with competing surface and substrate potentials
• Casimir Force on a Micrometer Sphere in a Dip: Proposal of an Experiment
• Casimir force between $\delta -{\delta }^{\prime }$ mirrors transparent at high frequencies
• Lifshitz formula for the Casimir force and the Gelfand-Yaglom theorem
• Flavor vacuum entanglement in boson mixing
• A Non-Singular One-Loop Wave Function of the Universe From a New Eigenvalue Asymptotics in Quantum Gravity
• On the Casimir interaction between holes
• Constraints on hidden gravitons from fifth-force experiments and stellar energy loss
• Casimir Effect for Gauge Scalars: The Kalb-Ramond Case
• Renormalized scalar propagator around a dispiration
• What measurable zero point fluctuations can(not) tell us about dark energy
• Vacuum fluctuation forces between ultra-thin films
• What is the Temperature Dependence of the Casimir Force between Real Metals?
• Naked Singularity in a Modified Gravity Theory
• Thermal Casimir effect with general boundary conditions
• Energy conditions outside a dielectric ball
• The Magnetic Casimir Effect
• Quantization of Sine-Gordon solitons on the circle: semiclassical vs. exact results
• Hydrodynamic fluctuation-induced forces in confined fluids
• Hot scalar radiation setting bounds on the curvature coupling parameter
• Spectral Methods for Coupled Channels with a Mass Gap
• The Shape of Compact Toroidal Dimensions $T_{\theta }^d$ and the Casimir Effect on $M^D\times T_{\theta }^d$ spacetime
• A study of the electromagnetic fluctuation induced forces on thin metallic films
• Detecting large extra dimensions with optomechanical levitated sensors
• The Scattering Approach to the Casimir Force
• On Casimir Pistons
• The Dirichlet Casimir Energy for ${\varphi }^4$ Theory in a Rectangle
• Finite Temperature Casimir Effect and Dispersion in the Presence of Compactified Extra Dimensions
• Spectral Functions for Regular Sturm-Liouville Problems
• Repulsive Casimir Force: Sufficient Conditions
• Extracting the Maxwell charge from the Wheeler-DeWitt equation
• Gravitational Atom in Compactified Extra Dimensions
• Twist decomposition of proton structure from BFKL and BK amplitudes
• The Stochastic Relaxion
• Phenomenological modeling of long range noncontact friction in micro- and nanoresonators
• Laser cooling of high temperature oscillator by multi-level system
• Casimir effect for Elko fields
• Topological swimming in a quantum sea
• Negative energy enhancement in layered holographic conformal field theories
• The locality of surface interactions on colloidal probes
• Scalar Casimir effect between two concentric spheres
• Quantum Energy in a Vibrating Cavity
• Magnetic field corrections to the repulsive Casimir effect at finite temperature
• Casimir effect in the scattering approach: correlations between material properties, temperature and geometry
• Vacuum polarization from confined fermions in 3 + 1 dimensions
• Wightman function and scalar Casimir densities for a wedge with two cylindrical boundaries
• Unruh-DeWitt detectors as mirrors: Dynamical reflectivity and Casimir effect
• Non-superposition effects in the Dirichlet Casimir effect
• Long range gravity tests and the Pioneer anomaly
• The Price of Neutrino Superluminality continues to rise
• Potential of the neutron Lloyd's mirror interferometer for the search for new interactions
• Zeta Function on Surfaces of Revolution
• Non-Hermitian Casimir effect of magnons
• Casimir effect in axion electrodynamics with lattice regularizations
• Casimir Effect and Holographic Dual of Wedges
• BRST-invariant boundary conditions and strong ellipticity
• Casimir buoyancy
• The Aladin2 experiment: status and perspectives
• Material boundaries in Carroll-Field-Jackiw Lorentz-violating electrodynamics
• Casimir forces in the flatland: interplay between photo-induced phase transitions and quantum Hall physics
• Action of the gravitational field on the dynamical Casimir effect
• The Casimir Energy For Scalar Field With Mixed Boundary Condition
• Divergences in the vacuum energy for frequency-dependent interactions
• The Horava-Lifshitz Modifications of the Casimir effect at finite temperature revisted
• Boundary Effects in Quantum Physics
• Sensing Dispersive and Dissipative Forces by an Optomechanical Cavity
• Casimir micro-sphere diclusters and three-body effects in fluids
• Regularization versus renormalization: Why are Casimir energy differences so often finite?
• Dirichlet boundary condition for the Lee-Wick-like scalar model
• Diffractive Effects and General Boundary Conditions in Casimir Energy
• The Casimir Effect for Generalized Piston Geometries
• Counter-ions between or at asymmetrically charged walls: 2D free-fermion point
• Repulsive to Attractive Fluctuation-Induced Forces in Disordered Landau-Ginzburg Model
• Report of the Detailed Calculation of the Effective Potential in Spacetimes with $S^1\times R^d$ Topology and at Finite Temperature
• Casimir interaction of rod-like particles in a two-dimensional critical system
• Ingredients of a Casimir analog computer
• Boundary String Current & Weyl Anomaly in Six-dimensional Conformal Field Theory
• A mathematical analysis of Casimir interactions I: The scalar field
• The Casimir force between parallel plates separated by anisotropic media
• Radiative Correction to the Casimir Energy for Massive Scalar Field on a Spherical Surface
• Casimir energy density in closed hyperbolic universes
• Van der Waals interaction between an atom with spherical plasma shell
• Hot Casimir Wormholes
• Four-Fermion Interaction Model on ${\mathcal{M}}^{D-1}\otimes S^1$
• First-order correction to the Casimir force within an inhomogeneous medium
• Geometric phase corrections on a moving particle in front of a dielectric mirror
• Mathematical Aspects of Vacuum Energy on Quantum Graphs
• Multigravity and Space Time Foam
• Casimir effect in hemisphere capped tubes
• The Casimir Effect in Spheroidal Geometries
• Note on anomalous currents for a free theory
• Casimir self-stress in a dielectric sphere
• Quantum aspects of a noncommutative supersymmetric kink
• Revisiting regularization with Kaluza-Klein states and Casimir vacuum energy from extra dimensional spaces
• Dynamical Casimir effect from fermions in an oscillating bag in 1+1 dimensions
• Fourth order perturbative expansion for the Casimir energy with a slightly deformed plate
• The Effect of Epsilon-Near-Zero (ENZ) Modes on the Casimir Interaction between Ultrathin Films
• A torsion balance for probing a non-standard force in the sub-micrometre range
• Casimir Effect for Nonlocal Field Theories with Continuum Massive Modes
• Casimir Energy Corrections by Light-Cone Fluctuations
• Null energy condition violation: Tunnelling versus the Casimir effect
• Casimir effect of a rough membrane in 2+1 Horava-Lifshitz theory
• Cosmic bounce and phantom-like equation of state from tunnelling
• Dynamical Casimir Effect with Semi-Transparent Mirrors, and Cosmology
• Dual chiral density wave induced oscillating Casimir effect
• Saving the universe with finite volume effects
• Second order invariants and holography
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics
• The normal Casimir force for lateral moving planes with isotropic conductivities
• Summation formula over the zeros of the associated Legendre function with a physical application
• Extra-dimensional axion patterns
• Vacuum Structure and Boundary Renormalization Group
• Casimir effect in 2+1 Horava gravity
• Quantum Spring
• Noncommutative Complex Scalar Field and Casimir Effect
• Application of Abel-Plana formula for collapse and revival of Rabi oscillations in Jaynes-Cummings model
• Casimir energy calculation for massive scalar field on spherical surfaces: an alternative approach
• On the Casimir entropy between 'perfect crystals'
• Semiclassical back reaction around a cosmic dislocation
• The Casimir force between parallel plates in Randall-Sundrum I model
• Computing the Casimir energy using the point-matching method
• Topology, Mass and Casimir energy
• Temperature inversion symmetry in the Casimir effect with an antiperiodic boundary condition
• Vacuum Energy from an Extra Dimension with UV/IR Connection
• Dynamical edge modes in Maxwell theory from a BRST perspective, with an application to the Casimir energy
• Nonlocal field correlations and dynamical Casimir-Polder forces between one excited- and two ground-state atoms
• Casimir-like tunneling-induced electronic forces
• Thermal Casimir Effect for Rectangular Cavities inside D+1-dimensional Minkowski Spacetime Revisited
• The Casimir force on a piston at finite temperature in Randall-Sundrum models
• Light-cone fluctuations and the renormalized stress tensor of a massless scalar field
• Casimir effect in the nonequilibrium steady-state of a quantum spin chain
• Casimir effect and Stefan-Boltzmann law in Yang-Mills theory at finite temperature
• Casimir effect with nonlocal boundary interactions
• Non-universal Casimir forces at Bose-Einstein condensation of an ideal gas: effect of Dirichlet boundary conditions
• Casimir free energy for massive fermions: a comparative study of various approaches
• Quantum Vacuum Energy of Self-Similar Configurations
• Casimir effect with one large extra dimension
• Induced vacuum energy density of quantum charged scalar matter in the background of an impenetrable magnetic tube with the Neumann boundary condition
• How modes shape Casimir Physics
• Extracting the Cosmological Constant from the Wheeler DeWitt Equation in a Modified Gravity Theory
• Bekenstein entropy bound for weakly-coupled field theories on a 3-sphere
• Constraints on strongly coupled chameleon fields from the experimental test of the weak equivalence principle for the neutron
• Riemann zeta zeros and zero-point energy
• Field observables near a fluctuating boundary
• Thermal diffractive corrections to Casimir energies
• Vacuum expectation value of twist fields
• Nanoscale Casimir Force Softening Originated from Quantum Surface Responses
• A Naturally Minute Quantum Correction to the Cosmological Constant Descended from the Hierarchy
• Radiative Correction to the Casimir Energy for Lorentz-violating Scalar Field in d+1 Dimensions
• Casimir effect in a two dimensional signature changing spacetime
• Vacuum polarization with zero-range potentials on a hyperplane
• Foundational Issues in Dynamical Casimir Effect and Analogue Features in Cosmological Particle Creation
• High Temperature Asymptotics in Terms of Heat Kernel Coefficients: Boundary Conditions with Spherical and Cylindrical Symmetries
• Radiatively induced symmetry breaking and the conformally coupled magnetic monopole in AdS space
• Enhanced decoherence for a neutral particle sliding on a metallic surface in vacuum
• Quantum Hall effect in a chiral cavity
• The role of scalar current coupling along surfaces
• Local thermal behaviour of a massive scalar field near a reflecting wall
• Vacuum polarization in $d+1/2$ dimensions
• Surface plasmon polaritons and surface phonon polaritons on metallic and semiconducting spheres: Exact and semiclassical descriptions
• Casimir effect between pinned particles in two-dimensional jammed systems
• Exact results for the Casimir force of a three-dimensional model of relativistic Bose gas in a film geometry
• Angular Momentum-Dependent Spectral Shift in Chiral Vacuum Cavities
• Johnson-Nyquist noise and the Casimir force between real metals at nonzero temperature
• Commutation relations for the electromagnetic field in the presence of dielectrics and conductors
• Casimir Effect for Quantum Field theory in Networks
• The Casimir effect for pistons with transmittal boundary conditions
• Casimir energy for a spherical boundary within the surface impedance approach: Obtaining negative values
• Aspects of Boundary Conditions for Nonabelian Gauge Theories
• Casimir-Polder interaction with Chern-Simons boundary layers
• The Casimir effect for a massless spin-3/2 field in Minkowski spacetime
• Casimir energy for spinor fields with $\delta$-shell potentials
• Remarks on the thermodynamics and the vacuum energy of a quantum Maxwell gas on compact and closed manifolds
• Electrically switchable Casimir forces using transparent conductive oxides
• When the Casimir energy is not a sum of zero-point energies
• Quantum Vacuum Fluctuations in Presence of Dissipative Bodies: Dynamical Approach for Non-Equilibrium and Squeezed States
• Some Developments of the Casimir Effect in $p$-Cavity of $(D+1)$-Dimensional Spacetime
• Variance of the Casimir force in an ideal Bose gas
• Blackbody thermodynamics in the presence of Casimir's effect
• Vacuum fluctuations in the presence of nonlinear boundary conditions
• Kaluza-Klein Pistons with non-Commutative Extra Dimensions
• Generalized Schlömilch's formulas and thermal Casimir effect of a fermionic rectangular box
• Matter in Toy Dynamical Geometries
• Vacuum Quantum Effects for Parallel Plates Moving by Uniform Acceleration in Static de Sitter Space
• Non-analytic behavior of the Casimir force across a Lifshitz transition in a spin-orbit coupled material
• Casimir effect between moving branes
• Tunnelling-induced cosmic bounce in the presence of anisotropies
• Casimir interaction between gas media of excited atoms
• Near-field dynamical Casimir effect
• Weighing the Vacuum Energy
• Radiative Correction to The Casimir Energy with Mixed Boundary Condition in 2+1 Dimensions
• Casimir pistons with generalized boundary conditions: a step forward
• Casimir effect of a rough membrane in an Aether-like Lorentz-violating scenario
• Vacuum quantum effects on Lie groups with bi-invariant metrics
• Dependence of scalar matter vacuum energy, induced by a magnetic topological defect, on the coupling to space-time curvature
• Bound of Casimir Effect by Holography
• Zero and finite temperature Casimir effect of massive vector field between real metals
• Fermion Particle Production in Dynamical Casimir Effect in a Three Dimensional Box
• Prime numbers, quantum field theory and the Goldbach conjecture
• The Casimir effect for parallel plates at finite temperature in the presence of one fractal extra compactified dimension
• Gravitational spectral shift caused by Casimir stresses
• Quantum gravity and the holographic dark energy cosmology
• The Bekenstein Bound in Asymptotically Free Field Theory
• Magnetic Anistropy due to the Casimir Effect
• Casimir type effects for scalar fields interacting with material slabs
• Quantum vacuum effects from boundaries of designer potentials
• Note on the Retarded van der Waals Potential within the Dipole Approximation
• Experimental Search for Non-Newtonian Forces in the Nanometer Scale with Slow Neutrons
• Vacuum and thermal fluctuation energies of a soliton at finite temperatures
• Winterberg's conjectured breaking of the superluminal quantum correlations over large distances
• The trace identity and the planar Casimir effect
• Detecting Nanometer-Scale New Forces with Coherent Neutron Scattering
• Casimir effect for a spherical shell in de Sitter spacetime with signature change
• Lifshitz formulas for finite-density Casimir effect
• Atom-Field-Medium Interactions I: Graded Influence Actions for $N$ Harmonic Atoms in a Dielectric-Altered Quantum Field
• Casimir Effect of rough plates under a magnetic field in Hořava-Lifshitz theory
• A Two-Gauge Field Model for Magnetoelectric Boundaries
• Casimir effect for the massless Dirac field in two-dimensional Reissner-Nordström spacetime
• Casimir effect for scalar field rotating on a disk
• Casimir Wormholes in Brans-Dicke Theory
• Quantum vibrational mode in a cavity confining a massless spinor field
• Quantum zero point electromagnetic energy difference between the superconducting and the normal phase in a HTc superconducting metal bulk sample
• One-Loop Correction to The Casimir Energy in Lifshitz-Like Theory
• Casimir effect for tachyonic fields
• The Localized Quantum Vacuum Field
• Effective action for $QE{D}_3$ in a region with borders
• Quantum Separability of the vacuum for Scalar Fields with a Boundary
• Classical limit of the Casimir entropy for scalar massless field
• Quantum Bound on the Specific Entropy in Strong-Coupled Scalar Field Theory
• The role of Surface Plasmon modes in the Casimir Effect
• Feynman Amplitudes in Periodically Compactified Spaces -- Spin 0
• General Junction Condition and Casimir Effect for (1+1)-Dimensional Scalar Network CFT
• Scalar Casimir effect between two concentric D-dimensional spheres
• Casimir effect in magnetic dual chiral density waves
• Thermal Casimir effect for a Dirac field on flat space with a nontrivial circular boundary condition
• Blackbody heat capacity at constant pressure
• Casimir energy of hyperbolic orbifolds with conical singularities
• Casimir effect: Edges and diffraction
• Analytical regularisation for confined quantum fields between parallel surfaces
• Effective action in DSR1 quantum field theory
• Massive fermion between two parallel chiral plates
• On the Casimir effect from the zero-point energy: A tangential force and its properties
• The Aladin2 experiment: sensitivity study
• Holographic Anomalous Current at a Finite Temperature
• Constraining bouncing cosmology caused by Casimir effect
• Vacuum polarization by a magnetic flux of special rectangular form
• Boundary Shape and Casimir Energy
• Casimir pressure on a thin metal slab
• The Casimir effect in string theory
• Casimir Effect in Hyperbolic Polygons
• On the high temperature limit of the Casimir energy
• Modification of Abel-Plana formula for functions with non-integrable branch-points
• On The Problem of Vacuum energy in Brane Theories
• The forces on a single interacting Bose-Einstein condensate
• On the possibility of the implicit renormalization procedure for the Casimir energy
• Casimir energy for acoustic phonons in graphene
• Precision studies of Casimir force and short-range gravity employing prototypes of interferometric gravitational wave detectors
• Fermionic Casimir effect in de Sitter spacetime
• Casimir force between integrable and chaotic pistons
• The Casimir spectrum revisited
• Singularities of the Casimir Energy for Quantum Field Theories with Lifshitz Dimensions
• The Casimir effect at finite temperature in a six-dimensional vortex scenario
• One-Loop Radiative Corrections to the QED Casimir Energy
• Constraints on Non-Newtonian Gravity from Recent Casimir Force Measurements
• On Stefan-Boltzmann law and the Casimir effect at finite temperature in the Schwarzschild spacetime
• Active feedback cooling of a SiN membrane resonator by electrostatic actuation
• The Casimir Effect Between Non-Parallel Plates by Geometric Optics
• Effects of Curvature-Scalar Coupling on Vacuum Energy in Flat (3+1)-Dimensional Space-Time
• Casimir-like corrections to the classical tensions of the strings and membranes
• "Screening" of universal van der Waals - Casimir terms by Coulomb gases in a fully-finite two-dimensional geometry
• Propellantless space exploration
• Edge physics and the Casimir interaction in Maxwell-Chern-Simons theory on a strip
• Proper-time evaluation of the effective action: unequal masses in the loop
• Spherical Casimir effect for a massive scalar field on the three dimensional ball
• Casimir traversable wormholes in Gauss-Bonnet gravity
• One-Loop Quantum Corrections to the Casimir Effect for Smoothly Rough Plates in the Low-Temperature Regime
• Casimir Forces for Robin Scalar Field on Cylindrical Shell in de Sitter Space
• Accelerated expansion of the universe purely driven by scalar field fluctuations
• A Search for non-Newtonian force in a precision measurement of the scattering of slow neutrons in Xenon gas
• Equivalence of zeta function technique and Abel-Plana formula in regularizing the Casimir energy of hyper-rectangular cavities
• Thermal Casimir effect in $\kappa$-Minkowski space-time
• Novel features of the energy momentum tensor of a Casimir apparatus in a weak gravitational field
• Chiral anomaly, induced current, and vacuum polarization tensor for a Dirac field in the presence of a defect
• Impact of space-time curvature coupling on the vacuum energy induced by a magnetic topological defect in flat space-time of arbitrary dimension
• Generalized Neumann boundary condition for the scalar field
• Lamb shift of the Dirac cone of graphene
• Anomalous-magnetic-moment-enhanced Casimir effect
• Probing New Forces with Nuclear Clocks
• Casimir effect and Stefan-Boltzmann law at finite temperature in a Friedmann-Robertson-Walker universe
• Casimir Effect and Gravitational Balance: a Search for Stable Configurations
• The Casimir-Lifshitz formula for rectangular dielectric waveguide
• Casimir Energy for Lorentz-Violating Scalar Field with Helical Boundary Condition in d Spatial Dimensions
• Testing the effects from dark radiation
• Phononic Casimir corrections for Graphene resonator
• Dirichlet boundary conditions in a noncommutative theory
• Tangential Casimir force in the misaligned system: Magnetic media, real conductors, and a torque
• The energy-momentum tensor,the trace identity and the Casimir effect
• Size quantization effects in thin film Casimir interaction
• Photon density of states for deformed surfaces
• Aspects of Higher-Abelian Gauge Theories at zero and finite temperature: Topological Casimir effect, duality and Polyakov loops
• Casimir effect for concentric spheres in de Sitter spacetime with signature change
• Features of the configurations "small particle -plate" and "plate -plate" in the theory of fluctuation electromagnetic interaction
• From Brownian motion formalism to fluctuation-induced force in a general fluctuating medium
• Search for an exotic parity-odd spin- and velocity-dependent interaction using a magnetic force microscope
• Analytic surgery of the zeta function
• The proximity force approximation for the Casimir energy of plate-sphere and sphere-sphere systems in the presence of one extra compactified universal dimension
• Inspiraling Corrugation-Induced Quantum Effects on Neutron Star Binary Plane