The Horava-Lifshitz Modifications of the Casimir effect at finite temperature revisted
arXiv:2209.14544 · doi:10.1140/epjc/s10052-022-10854-4
Abstract
We proceed with the study of the Casimir force for parallel plates at finite temperature in the Horava-Lifshitz (HL) theory. We find that the HL exponent can not be chosen as an integer, or the Casimir energy will be a constant and further the Casimir force between two parallel plates will vanish. The higher temperature makes the attractive Casimir force weaker, which is consistent with the original consequence confirmed theoretically and experimentally. We can select the HL factor adequately to lead the thermally revised Casimir force to be similar to the standard results for the parallel plates.
arXiv comment11 pages, 1 figure
References in corpus (48)
- Quantum Gravity at a Lifshitz Point
- New Developments in the Casimir Effect
- Measurement of the Casimir force between parallel metallic surfaces
- The Casimir force between real materials: experiment and theory
- Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
- Membranes at Quantum Criticality
- Casimir Energy and Radius Stabilization in Five and Six Dimensional Orbifolds
- Attractive Casimir Forces in a Closed Geometry
- Casimir force on a piston
- Repulsive Casimir effect from extra dimensions and Robin boundary conditions: from branes to pistons
- Casimir piston for massless scalar fields in three dimensions
- Relativistic Landau Levels in the Rotating Cosmic String Spacetime
- The Casimir Effect in the Presence of Compactified Universal Extra Dimensions
- Kaluza-Klein models as pistons
- Zeta function method and repulsive Casimir forces for an unusual pair of plates at finite temperature
- Thermal corrections to the Casimir energy in a Lorentz-breaking scalar field theory
- Finite temperature Casimir energy in closed rectangular cavities: a rigorous derivation based on zeta function technique
- The Casimir force on a piston in the spacetime with extra compactified dimensions
- Local effects of the quantum vacuum in Lorentz-violating electrodynamics
- Casimir effect within D=3+1 Maxwell-Chern-Simons electrodynamics
- Higher-derivative Lorentz-breaking dispersion relations: a thermal description
- Vacuum Energy, the Cosmological Constant and Compact Extra Dimensions: Constraints from Casimir Effect Experiments
- Finite Temperature Casimir Effect in Kaluza-Klein Spacetime
- Finite temperature Casimir effect in spacetime with extra compactified dimensions
- Casimir effect in quadratic theories of gravity
- 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 effect in Post-Newtonian Gravity with Lorentz-violation
- Horava-Lifshitz modifications of the Casimir effect
- Casimir Effect in Horava-Lifshitz-like theories
- Casimir Effect for a Semitransparent Wedge and an Annular Piston
- Finite temperature Casimir effect for charged massless scalars in a magnetic field
- Finite temperature Casimir effect in piston geometry and its classical limit
- Finite Temperature Casimir Effect in Randall-Sundrum Models
- On the Casimir effect for parallel plates in the spacetime with one extra compactified dimension
- Horava-Lifshitz Gravity Effects on Casimir Energy in Weak Field Approximation and Infrared Regime
- Finite Temperature Casimir Effect for Massless Majorana Fermions in a Magnetic Field
- Finite temperature Casimir effect of massive fermionic fields in the presence of compact dimensions
- The Casimir effect for the scalar and Elko fields in a Lifshitz-like field theory
- Finite Action Principle and Horava-Lifshitz Gravity: early universe, black holes and wormholes
- Renormalizability of alternative theories of gravity: differences between power counting and entropy argument
- On quantum aspects of the higher-derivative Lorentz-breaking extension of QED
- The Casimir effect for fields with arbitrary spin
- Gauss-Bonnet dark energy on Hořava-Lifshitz cosmology
- Generalized Uncertainty Principle effects in the Hořava-Lifshitz quantum theory of gravity
- Vacuum Radiation in Lifshitz QED
- Energy-entropy relation for asymptotically Lifshitz spacetimes with universal horizons
- Singularities of the Casimir Energy for Quantum Field Theories with Lifshitz Dimensions
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