Effective action in DSR1 quantum field theory

We present the one-loop effective action of a quantum scalar field with DSR1 space-time symmetry as a sum over field modes. The effective action has real and imaginary parts and manifest charge conjugation asymmetry, which provides an alternative theoretical setting to the study of the particle-antiparticle asymmetry in nature.Comment: 8 page

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

AbstractWe consider a κ-deformed electrodynamics in a sourceless situation and under boundary conditions dictated by the presence of two parallel conducting plates. Using the κ-deformed dispersion relation we compute the corresponding zero-point energy. The result is reduced to quadratures of elementary functions and has a real as well as an imaginary part due to the simultaneous effect of κ-deformation and boundary condition. The imaginary part exhibits a remarkable property of κ-deformed theories: the creation of radiation due to boundary conditions. The real part gives corrections to the Casimir effect due to the κ-deformation and is in agreement with previously known results. Real and imaginary parts also confirms a conjecture originated from a calculation of one-loop effective action for a massive scalar field

Schwinger's Method for the Massive Casimir Effect

We apply to the massive scalar field a method recently proposed by Schwinger to calculate the Casimir effect. The method is applied with two different regularization schemes: the Schwinger original one by means of Poisson formula and another one by means of analytical continuation.Comment: plain TeX, 6 pages, DFTUZ-93-2

A modified Schwinger's formula for the Casimir effect

After briefly reviewing how the (proper-time) Schwinger's formula works for computing the Casimir energy in the case of "scalar electrodynamics" where the boundary conditions are dictated by two perfectly conducting parallel plates with separation "a" in the Z-axis, we propose a slightly modification in the previous approach based on an analytical continuation method. As we will see, for the case at hand our formula does not need the use of Poisson summation to get a (renormalized) finite result.Comment: 6 pages, DFTUZ/93/14 (a short version will appear in the Letters in Math. Phys.