Radiative Correction to the Casimir Energy for Lorentz-violating Scalar Field in d+1 Dimensions
arXiv:2006.00299 · doi:10.1142/S0217732320501497
Abstract
The renormalization program in every renormalized theory should be run consistently with the type of boundary condition imposed on quantum fields. To maintain this consistency, the counterterms usually appear in the position-dependent form. In the present study, using such counterterms, we calculated the radiative correction to the Casimir energy for massive and massless Lorentz-violating scalar field constrained with Dirichlet boundary condition between two parallel plates in d spatial dimensions. In the calculation procedure, to remove infinities appearing in the vacuum energies, the box subtraction scheme supplemented by the cutoff regularization technique and analytic continuation technique were employed. Normally, in the box subtraction scheme, two similar configurations are defined and their vacuum energies are subtracted from each other in the appropriate limits. Our final results regarding all spatial dimensions were convergent and consistent with the expected physical basis. We further plotted the Casimir energy density for the time-like and space-like Lorentz-violating systems in a number of odd and even dimensions; multiple aspects of the obtained results were ultimately discussed.
arXiv comment18 pages, 9 figures, 1 table, accepted for publication in MPLA
References in corpus (42)
- CPT Violation and the Standard Model
- New Developments in the Casimir Effect
- Noncommutative Field Theory and Lorentz Violation
- Quantum gravity corrections to neutrino propagation
- Loop quantum gravity and light propagation
- Calculating Vacuum Energies in Renormalizable Quantum Field Theories: A New Approach to the Casimir Problem
- Spacetime-varying couplings and Lorentz violation
- Signals for Non-Commutative Interactions at Linear Colliders
- Bounding Noncommutative QCD
- On the aether-like Lorentz-breaking actions
- Comments on Non-Commutative Phenomenology
- Mode-by-mode summation for the zero point electromagnetic energy of an infinite cylinder
- Time Variation of the Fine Structure Constant Driven by Quintessence
- Casimir effects in Lorentz-violating scalar field theory
- Noncommutative field theory and violation of translation invariance
- Direct mode summation for the Casimir energy of a solid ball
- Radiative Correction to the Casimir Force on a Sphere
- The Casimir Force in a Lorentz Violating Theory
- Casimir Effects in Renormalizable Quantum Field Theories
- Casimir Effect of Strongly Interacting Scalar Fields
- Casimir Energy for a Purely Dielectric Cylinder by the Mode Summation Method
- Lorentz Invariance and the Cosmological Constant
- Radiative corrections to the Casimir effect for the massive scalar field
- Casimir effect within D=3+1 Maxwell-Chern-Simons electrodynamics
- Finite Size Effects in the Anisotropic λ/4!(ϕ^4_1 + ϕ^4_2)_d Model
- Fermionic Casimir effect in a field theory model with Lorentz symmetry violation
- Spectral Zeta Functions for a Cylinder and a Circle
- A new renormalization approach to the Dirichlet Casimir effect for ϕ^4 theory in (1+1) dimensions
- The Dirichlet Casimir effect for theory in (3+1) dimensions: A new renormalization approach
- Casimir Effect in the Kerr Spacetime with Quintessence
- Radiative Correction to the Dirichlet Casimir Energy for Theory in Two Spatial Dimensions
- Casimir Effect For a Scalar Field via Krein Quantization
- Radiative corrections to the Casimir force and effective field theories
- A Renormalized perturbation theory for problems with nontrivial boundary conditions or backgrounds in two space-time dimensions
- NLO radiative correction to the Casimir energy in Lorentz-violating scalar field theory
- The Dirichlet Casimir Energy for Theory in a Rectangle
- The Casimir Energy For Scalar Field With Mixed Boundary Condition
- The Dirichlet Casimir Energy For ϕ^4 Theory in a Rectangular Waveguide
- Radiative Correction to the Casimir Energy for Massive Scalar Field on a Spherical Surface
- On a possible method of Casimir pressure renormalization in a ball
- Casimir energy calculation for massive scalar field on spherical surfaces: an alternative approach
- On the possibility of the implicit renormalization procedure for the Casimir energy
Cited by in corpus (4)
- Material boundaries in Carroll-Field-Jackiw Lorentz-violating electrodynamics
- Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics
- Coordinate space representation for renormalization of quantum electrodynamics
- One-Loop Correction to the Casimir Energy in Lorentz-Violating Theory with Rough Membrane Boundaries