Casimir effect and creation of radiation in confined κ-deformed electrodynamics

The 2D κ -Dirac oscillator

“…Some important contributions on κ-deformation have been studied in Refs. [27][28][29][30][31][32][33][34][35][36][37][38][39][40].…”

Casimir effect in kappa deformed electrodynamics

“…After the required subtractions the regularization parameters are eliminated by the limits ǫ → 0 and Λ || → ∞. The expression (38) provides the starting point of the calculation of the Casimir energy in κ-deformed electrodynamics from the expression of vacuum energy as a sum of modes [9,6]. Let us briefly describe how to obtain an expression of this energy which is nonperturbative in the deformation parameter [6].…”

“…The expression (38) provides the starting point of the calculation of the Casimir energy in κ-deformed electrodynamics from the expression of vacuum energy as a sum of modes [9,6]. Let us briefly describe how to obtain an expression of this energy which is nonperturbative in the deformation parameter [6]. First of all we notice that although the cutoff Λ || may seem unnecessary in view of the regularization performed by the parameter ǫ, it must be used in order to apply the argument principle in the calculation of the series in (38).…”

“…Another example of κ-deformed equations of motion is given by the following κ-deformed Maxwell equations [6]:…”

“…These two properties make the Casimir effect specially well suited for the investigation of theories still under construction. The Casimir effect for κ-deformed electrodynamics was calculated perturbatively in the parameter 1/κ [9] and also non-perturbatively [6], from the sum of modes expression of the vacuum energy. It was also obtained for a massive scalar field from the Schwinger proper time representatio of the effective action [10].…”