On the Vacuum energy of a Color Magnetic Vortex

We calculate the one loop gluon vacuum energy in the background of a color magnetic vortex for SU(2) and SU(3). We use zeta functional regularization to obtain analytic expressions suitable for numerical treatment. The momentum integration is turned to the imaginary axis and fast converging sums/integrals are obtained. We investigate numerically a number of profiles of the background. In each case the vacuum energy turns out to be positive increasing in this way the complete energy and making the vortex configuration less stable. In this problem bound states (tachyonic modes) are present for all investigated profiles making them intrinsically unstable.Comment: 28 pages, 4 figure

LIME - a flexible, non-LTE line excitation and radiation transfer method for millimeter and far-infrared wavelengths

We present a new code for solving the molecular and atomic excitation and radiation transfer problem in a molecular gas and predicting emergent spectra. This code works in arbitrary three dimensional geometry using unstructured Delaunay latices for the transport of photons. Various physical models can be used as input, ranging from analytical descriptions over tabulated models to SPH simulations. To generate the Delaunay grid we sample the input model randomly, but weigh the sample probability with the molecular density and other parameters, and thereby we obtain an average grid point separation that scales with the local opacity. Our code does photon very efficiently so that the slow convergence of opaque models becomes traceable. When convergence between the level populations, the radiation field, and the point separation has been obtained, the grid is ray-traced to produced images that can readily be compared to observations. Because of the high dynamic range in scales that can be resolved using this type of grid, our code is particularly well suited for modeling of ALMA data. Our code can furthermore deal with overlapping lines of multiple molecular and atomic species.Comment: 13 pages, 12 figures, Accepted by A&A on 06/08/201

Ultraviolet divergences, repulsive forces and a spherical plasma shell

We discuss the vacuum energy of the electromagnetic ¯eld interacting with a spherical plasma shell together with a model for the classical motion of the shell. We discuss the ultraviolet divergences in terms of the heat kernel coe±cients. Using these, we carry out the renormalization by rede¯ning the parameters of the classical model. It turns out that this is possible and that the resulting model has a vacuum energy which changes sign in dependence on the parameters of the plasma shell. In the limit of the plasma shell becoming an ideal conductor the vacuum energy found by Boyer in 1968 is reproduced

Vacuum Energy for a Scalar Field with Self-Interaction in (1 + 1) Dimensions

We calculate the vacuum (Casimir) energy for a scalar field with ϕ4 self-interaction in (1 + 1) dimensions non perturbatively, i.e., in all orders of the self-interaction. We consider massive and massless fields in a finite box with Dirichlet boundary conditions and on the whole axis as well. For strong coupling, the vacuum energy is negative indicating some instability

Revisiting the Casimir Energy with General Boundary Conditions, and applications in 1D Crystals

Producción CientíficaWe obtain new expressions for the Casimir energy between plates that are mimicked by the most general possible boundary conditions allowed by the principles of quantum field theory. This result enables to provide the quantum vacuum energy for scalar fields propagating under the influence of a one-dimensional crystal represented by a periodic potential formed by an infinite array of identical potentials with compact support.MINECO (MTM2014-57129-C2-1-P) and Junta de Castilla y Leon (BU229P18 and VA137G18)

Fermionic Vacuum Energy from a Nielsen-Olesen Vortex

We calculate the vacuum energy of a spinor field in the background of a Nielsen-Olesen vortex. We use the method of representing the vacuum energy in terms of the Jost function on the imaginary momentum axis. Renormalization is carried out using the heat kernel expansion and zeta functional regularization. With this method well convergent sums and integrals emerge which allow for an efficient numerical calculation of the vacuum energy in the given case where the background is not known analytically but only numerically. The vacuum energy is calculated for several choices of the parameters and it turns out to give small corrections to the classical energy.Comment: 22 pages, 6 figure

Dispersion Forces Between Fields Confined to Half Spaces

We consider the Casimir effect for a scalar field interacting with another scalar field that is confined to two half spaces. This model is aimed to mimic the interaction of the photon field with matter in two slabs. We use Dirichlet boundary conditions on the interfaces for the fields in the half spaces and calculate their one-loop contribution to the wave equation for the other field. We perform the ultraviolet renormalization and develop a convenient formalism for the calculation of the vacuum energy in this configuration.Comment: 9 pages, 2 figure

CASIMIR ENERGIES IN SPHERICALLY SYMMETRIC BACKGROUND POTENTIALS REVISITED

In this paper we reconsider the formulation for the computation of the Casimir energy in spherically symmetric background potentials. Compared to the previous analysis, the technicalities are much easier to handle and final answers are surprisingly simple