Loop correction to the scalar Casimir energy density and generation of topological mass due to a helix boundary condition in a scenario with Lorentz violation
arXiv:2204.09400 · doi:10.1142/S0218271822501267
Abstract
In this paper the effective potential approach in quantum field theory is used in order to investigate self-interaction loop correction to the Casimir energy density and generation of topological mass for both massless and massive real scalar fields. It is assumed that the scalar field obeys a helix boundary condition. In addition, it is also considered a CPT-even aether-type violation of the Lorentz symmetry. In the absence of the Lorentz violation we obtain analytical expressions for the loop correction to the Casimir energy density and to the mass of the scalar field. The same expressions are also obtained assuming the Lorentz violation in each of the spacetime directions. We also show some graphs that exhibit how the loop correction and the Lorentz violation affect the the Casimir energy density and the mass of the scalar field.
arXiv comment20 pages, 7 figures, published in IJMPD
References in corpus (30)
- Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
- Measurement of the Casimir force between parallel metallic surfaces
- Quantum gravity corrections to neutrino propagation
- Loop quantum gravity and light propagation
- Spacetime-varying couplings and Lorentz violation
- Casimir effect for scalar fields under Robin boundary conditions on plates
- Signals for Non-Commutative Interactions at Linear Colliders
- Bounding Noncommutative QCD
- On the aether-like Lorentz-breaking actions
- Comments on Non-Commutative Phenomenology
- Anomalies in electrostatic calibrations for the measurement of the Casimir force in a sphere-plane geometry
- Aether Compactification
- Time Variation of the Fine Structure Constant Driven by Quintessence
- Noncommutative field theory and violation of translation invariance
- Local effects of the quantum vacuum in Lorentz-violating electrodynamics
- Lorentz Invariance and the Cosmological Constant
- Casimir effect between ponderable media as modeled by the standard model extension
- Results from electrostatic calibrations for measuring the Casimir force in the cylinder-plane geometry
- The Casimir force of Quantum Spring in the (D+1)-dimensional spacetime
- Casimir Energy and Brane Stability
- Æther Field, Casimir Energy and Stabilization of The Extra Dimension
- Casimir effect in Lorentz-violating scalar field theory: a local approach
- The Casimir effect for the scalar and Elko fields in a Lifshitz-like field theory
- Quantum Spring from the Casimir Effect
- Thermal Casimir effect for the scalar field in flat spacetime under a helix boundary condition
- Casimir energy and topological mass for a massive scalar field with Lorentz violation
- Casimir Effect under Quasi-Periodic Boundary Condition Inspired by Nanotubes
- Radius Destabilization in Five Dimensional Orbifolds Due to an Enhanced Casimir Effect
- Ground state energy and topological mass in spacetimes with nontrivial topology
- Quantum Spring
Cited by in corpus (4)
- Casimir effect, loop corrections and topological mass generation for interacting real and complex scalar fields in Minkowski spacetime with different conditions
- One-Loop Quantum Corrections to the Casimir Effect for Smoothly Rough Plates in the Low-Temperature Regime
- Topological Casimir effect in models with helical compact dimensions
- Casimir Energy for Lorentz-Violating Scalar Field with Helical Boundary Condition in d Spatial Dimensions