Finite temperature Casimir effect in spacetime with extra compactified dimensions

Abstract

In this letter, we derive the explicit exact formulas for the finite temperature Casimir force acting on a pair of parallel plates in the presence of extra compactified dimensions within the framework of Kaluza-Klein theory. Using the piston analysis, we show that at any temperature, the Casimir force is always attractive and the effect of extra dimensions becomes stronger when the size or number of the extra dimensions increases. These properties are not affected by the explicit geometry and topology of the Kaluza-Klein space.

6 pages, 3 figures

References in corpus (55)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Bounds on Universal Extra Dimensions
• An exotic class of Kaluza-Klein models
• Calculating Vacuum Energies in Renormalizable Quantum Field Theories: A New Approach to the Casimir Problem
• Casimir Effect on the Worldline
• Casimir Effect Between World-Branes in Heterotic M-Theory
• An Early Proposal of "Brane World"
• Casimir effect in de Sitter and Anti-de Sitter braneworlds
• Quantum Stabilization of Compactified AdS_5
• Casimir Energy and Radius Stabilization in Five and Six Dimensional Orbifolds
• Casimir force on a piston
• Quantized bulk scalar fields in the Randall-Sundrum brane-model
• The Casimir Effect on Background of Conformally Flat Brane--World Geometries
• Natural Quintessence and Large Extra Dimensions
• A stable hierarchy from Casimir forces and the holographic interpretation
• (De)Stabilization of an extra dimension due to a Casimir force
• Dark Energy and Stabilization of Extra Dimensions
• The Casimir Effect in the Presence of Compactified Universal Extra Dimensions
• Brane Worlds and the Cosmic Coincidence Problem
• Casimir energy for de Sitter branes in bulk AdS(5)
• The Casimir Force in Randall Sundrum Models
• Finite temperature Casimir energy in closed rectangular cavities: a rigorous derivation based on zeta function technique
• Casimir force for a scalar field in warped brane worlds
• The Casimir Force in Randall Sundrum Models with q+1 dimensions
• The Casimir force on a piston in the spacetime with extra compactified dimensions
• Casimir Effect confronts Cosmological Constant
• Vacuum Energy, the Cosmological Constant and Compact Extra Dimensions: Constraints from Casimir Effect Experiments
• Matching the observational value of the cosmological constant
• Compact dimensions and the Casimir effect: the Proca connection
• Comment on: "The Casimir force on a piston in the spacetime with extra compactified dimensions" [Phys. Lett. B 668 (2008) 72]
• The asymptotic behavior of Casimir force in the presence of compactified universal extra dimensions
• Casimir energy of a non-uniform string
• Quintessence from Shape Moduli
• Cosmological constant and late transient acceleration of the universe in the Horava-Witten Heterotic M-Theory on S^{1}/Z_{2}
• Constraints on extra dimensions from cosmological and terrestrial measurements
• Radius Stabilization by Two-Loop Casimir Energy
• Casimir Effect on the Radius Stabilization of the Noncommutative Torus
• Primordial Inflation and Present-Day Cosmological Constant from Extra Dimensions
• Estimative for the size of the compactification radius of a one extra dimension Universe
• Casimir Force in Compact Noncommutative Extra Dimensions and Radius Stabilization
• On the Casimir effect for parallel plates in the spacetime with one extra compactified dimension
• Electromagnetic Casimir energy with extra dimensions
• Casimir Energy Densities for Parallel Plate on Background of Conformally Flat Brane-World Geometries and Cosmological Constant Problem
• Casimir Energy in Deconstruction and the Cosmological Constant
• Finite-Temperature Casimir Effect on the Radius Stabilization of Noncommutative Torus
• 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
• The cosmological constant in the brane world of string theory on $S^1/Z_2$
• Dark Energy from Casimir Energy on Noncommutative Extra Dimensions
• Vacuum Energy from an Extra Dimension with UV/IR Connection
• Cosmological constant from gauge fields on extra dimensions

Cited by in corpus (33)

• Repulsive Casimir effect from extra dimensions and Robin boundary conditions: from branes to pistons
• Fermionic Casimir effect for parallel plates in the presence of compact dimensions with applications to nanotubes
• Kaluza-Klein models as pistons
• Fermionic condensate and Casimir densities in the presence of compact dimensions with applications to nanotubes
• Finite Temperature Casimir Effect in Kaluza-Klein Spacetime
• Fermionic current from topology and boundaries with applications to higher-dimensional models and nanophysics
• Topological Casimir effect in compactified cosmic string spacetime
• Casimir Effect in Spacetime with Extra Dimensions -- From Kaluza-Klein to Randall-Sundrum Models
• Casimir effect of electromagnetic field in Randall-Sundrum spacetime
• Finite temperature Casimir effect for massive scalar field in spacetime with extra dimensions
• Casimir force in brane worlds: coinciding results from Green's and Zeta function approaches
• Finite Temperature Casimir Effect in Randall-Sundrum Models
• Casimir Effect on the brane
• 3D scalar model as a 4D perfect conductor limit: dimensional reduction and variational boundary conditions
• Casimir Piston of Real Materials and its Application to Multi-Layer Models
• Finite temperature Casimir effect of massive fermionic fields in the presence of compact dimensions
• Finite temperature Casimir effect for scalar field with Robin boundary conditions in spacetime with extra dimensions
• Casimir effect for scalar current densities in topologically nontrivial spaces
• Slab Bag Fermionic Casimir effect, Chiral Boundaries and Vector Boson - Majorana Fermion Pistons
• The Casimir effect for parallel plates involving massless Majorana fermions at finite temperature
• The Casimir force on a piston in Randall-Sundrum models
• Basic zeta functions and some applications in physics
• Electromagnetic Casimir piston in higher dimensional spacetimes
• Finite Temperature Casimir Effect and Dispersion in the Presence of Compactified Extra Dimensions
• The Horava-Lifshitz Modifications of the Casimir effect at finite temperature revisted
• Exact classical sphere-plate Casimir interaction in (D+1)-dimensional spacetime
• Revisiting Vacuum Energy in Compact Spacetimes
• Casimir effect with one large extra dimension
• Effective Electromagnetic Lagrangian at Finite Temperature and Density in the Electroweak Model
• Kaluza-Klein Pistons with non-Commutative Extra Dimensions
• Some Developments of the Casimir Effect in $p$-Cavity of $(D+1)$-Dimensional Spacetime
• The Casimir effect for parallel plates at finite temperature in the presence of one fractal extra compactified dimension
• The Casimir effect at finite temperature in a six-dimensional vortex scenario